Skills Practice Skills Practice for Lesson 4.1


 Dana Paul
 6 months ago
 Views:
Transcription
1 Skills Prctice Skills Prctice for Lesson.1 Nme Dte Interior nd Exterior Angles of Tringle Tringle Sum, Exterior Angle, nd Exterior Angle Inequlity Theorems Vocbulry Write the term tht best completes ech sttement. 1. The Exterior Angle Inequlity Theorem sttes tht the mesure of n exterior ngle of tringle is greter thn the mesure of either of the remote interior ngles of the tringle.. The Tringle Sum Theorem sttes tht the sum of the mesures of the interior ngles of tringle is The Exterior Angle Theorem sttes tht the mesure of n exterior ngle of tringle is equl to the sum of the mesures of the remote interior ngles of the tringle.. The remote interior ngles of tringle re the two ngles tht re nondjcent to the specified exterior ngle. Problem Set Determine the mesure of the missing ngle in ech tringle. 1. B. P Q A C R m B 180 (78 37 ) 65 m R 180 (80 66 ) Crnegie Lerning, Inc. Chpter l Skills Prctice 9
2 3. K. G 35 M 8 L 90 F 3 E m L 180 (8 35 ) 117 m G 180 (90 3 ) W 6. T X V 35 U Y m Y 180 (60 60 ) 60 m U 180 ( ) 35 List the side lengths from shortest to longest for ech digrm. 7. C 8. S B 8 b c 1 A r t T 60 s 5 R 010 Crnegie Lerning, Inc. m C 180 (8 1 ) 111 m S 180 (5 60 ) 66 The shortest side of tringle The shortest side of tringle is opposite the smllest ngle. is opposite the smllest ngle. So, the side lengths from shortest So, the side lengths from shortest to longest re, b, c. to longest re r, t, s. 30 Chpter l Skills Prctice
3 Nme Dte 9. k M 10. Z L 8 m 118 K l Y x y 8 X z m M 180 (118 8 ) 3 m Y 180 (8 ) 5 The shortest side of tringle The shortest side of tringle is opposite the smllest ngle. is opposite the smllest ngle. So, the side lengths from shortest So, the side lengths from shortest to longest re l, m, k. to longest re z, y, x. 11. X b Y d c 7 W 6 e Z B u r t A s D v C m X 180 (67 7 ) 86 m A 180 (60 30 ) 90 m Z 180 (6 79 ) 37 m C 180 (90 50 ) 0 The shortest side of tringle is The shortest side of tringle is opposite the smllest ngle. Side c is opposite the smllest ngle. Side t is the longest side of WXY nd the the longest side of ABD nd the shortest side of WYZ. So, the side shortest side of BCD. So, the side lengths from shortest to longest lengths from shortest to longest re b,, c, d, e. re s, r, t, v, u. 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 31
4 Identify the interior ngles, the exterior ngle, nd the remote interior ngles of ech tringle. 13. W X Y 1. T U Z R S Interior ngles: XYZ, YZX, ZXY Exterior ngle: WXZ Remote interior ngles: XYZ, YZX Interior ngles: RST, RTS, SRT Exterior ngle: STU Remote interior ngles: RST, SRT 15. F 16. B E G H C A D Interior ngles: EFG, EGF, FEG Exterior ngle: FGH Remote interior ngles: EFG, FEG Interior ngles: ABC, ACB, BAC Exterior ngle: BAD Remote interior ngles: ABC, ACB 17. L 18. P 010 Crnegie Lerning, Inc. J K M Interior ngles: JKL, JLK, KJL Exterior ngle: LKM Remote interior ngles: JLK, KJL Q R S Interior ngles: QRS, QSR, RQS Exterior ngle: PQS Remote interior ngles: QRS, QSR 3 Chpter l Skills Prctice
5 Nme Dte Solve for x in ech digrm. 19. J 130 F G x 99 H K 0. R x 13 T U 10 S V m GFH m RTS m GHK m GFH m FGH m RSV m RTS m SRT x 10 8 x 9 x 9 x 1. H x I x K J 81. U 6 90 (x + 8) R T V S m IJK m UTV m IJK m HIJ m IHJ m SVU m UTV m TUV 99 x x x x x x x Crnegie Lerning, Inc. Chpter l Skills Prctice 33
6 3. M 13 J (x + ) K. G 90 F 11 L N D (3x + ) (x + 18) E m KJL m DFE m KLN m KJL m JKL m DFG m DEF m EDF 11 8 (x ) 90 (x 18 ) (3x ) 11 5 x 90 5x 0 60 x 70 5x 30 x 1 x Use the given informtion for ech tringle to write two inequlities tht you would need to prove the Exterior Angle Inequlity Theorem. 5. T 6. Q R P Q R S S Given: Tringle RST with exterior TRQ Prove: m TRQ m S nd m TRQ m T Given: Tringle QRS with exterior PQR Prove: m PQR m R nd m PQR m S 010 Crnegie Lerning, Inc. 3 Chpter l Skills Prctice
7 Nme Dte 7. T U 8. J W V F G H Given: Tringle UVW with exterior TUV Prove: m TUV m V nd m TUV m W Given: Tringle GHJ with exterior FGJ Prove: m FGJ m H nd m FGJ m J 9. K L M 30. A B N C D Given: Tringle LMN with exterior KLN Prove: m KLN m M nd m KLN m N Given: Tringle ABC with exterior BCD Prove: m BCD m A nd m BCD m B 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 35
8 Skills Prctice Skills Prctice for Lesson. Nme Dte Instlling Stellite Dish Simplifying Rdicls, Pythgoren Theorem, nd Its Converse Vocbulry Mtch ech definition to its corresponding term. 1. n expression tht involves rdicl sign. squre root d. rdicl expression. the symbol b. rdicl sign b. rdicl sign 3. number b such tht b c. rdicnd. squre root. the sides of right tringle tht form the right ngle d. rdicl expression g. legs 5. the expression written under rdicl sign e. simplest form 010 Crnegie Lerning, Inc. c. rdicnd 6. when the rdicnd of rdicl expression f. hypotenuse contins no fctors tht re perfect squres e. simplest form 7. the side opposite the right ngle in right tringle g. legs f. hypotenuse Chpter l Skills Prctice 37
9 Problem Set Clculte the vlue of ech rdicl expression () (3) ; ; (6) (10) 50 Simplify ech expression nd write the result in rdicl form Nme the form of 1 tht you would use to simplify ech frction Crnegie Lerning, Inc. 38 Chpter l Skills Prctice
10 Nme Dte Simplify ech frction Given the re A of squre, clculte the length of one side. 010 Crnegie Lerning, Inc. 3. A 8 cm A A Ech side is 3 centimeters long. Chpter l Skills Prctice 39
11 . A 75 m A A Ech side is 5 3 meters long. 5. Ingrid covers the floor of squre room with 196 lrge tiles. The re of ech tile is 1 squre foot. Wht is the length of one side of the room? A A Ech side of the room is 1 feet long. 6. Devon prepres squre grden with n re of 180 squre feet. How much fencing will Devon need for ech side of the grden? A A Devon will need 6 5 feet of fencing for ech side of the grden. Determine the length of the hypotenuse of ech tringle. Round your nswer to the nerest tenth, if necessry c 8. 6 c 8 c 3 c 6 8 c 9 16 c 36 6 c 5 c 100 c 5 5 c The length of the hypotenuse is The length of the hypotenuse is 5 units. 10 units. 010 Crnegie Lerning, Inc. 0 Chpter Skills Prctice
12 Nme Dte 9. 8 c c 8 15 c 8 8 c c 6 6 c c 18 c 35 c 18 c 35 c c The length of the hypotenuse is pproximtely 11.3 units. The length of the hypotenuse is pproximtely 18.0 units. Determine the length of the unknown leg. Round your nswer to the nerest tenth, if necessry b 5 b b b b 1 81 b 1 81 b The length of the unknown leg is 1 units. The length of the unknown leg is 9 units. 010 Crnegie Lerning, Inc. Chpter Skills Prctice 1
13 b b b b b 7 75 b b The length of the unknown leg is pproximtely 8.7 units. The length of the unknown leg is pproximtely 8.5 units. Use the converse of the Pythgoren Theorem to determine whether ech tringle is right tringle. Explin your nswer Yes. This is right tringle The sum of the squres of the lengths of the two legs is equl to the squre of the length of the hypotenuse, so this is right tringle. 010 Crnegie Lerning, Inc. Chpter Skills Prctice
14 Nme Dte No. This is not right tringle The sum of the squres of the lengths of the two legs is not equl to the squre of the length of the hypotenuse, so this is not right tringle No. This is not right tringle The sum of the squres of the lengths of the two legs is not equl to the squre of the length of the hypotenuse, so this is not right tringle Crnegie Lerning, Inc. 0 Yes. This is right tringle The sum of the squres of the lengths of the two legs is equl to the squre of the length of the hypotenuse, so this is right tringle. Chpter Skills Prctice 3
15 Use the Pythgoren Theorem to clculte ech unknown length. Round your nswer to the nerest tenth, if necessry. 39. Chndr hs ldder tht is 0 feet long. If the top of the ldder reches 16 feet up the side of building, how fr from the building is the bse of the ldder? 16 b 0 56 b 00 b b 1 b 1 b 1 The bse of the ldder is 1 feet from the building. 0. A scffold hs digonl support bem to strengthen it. If the scffold is 1 feet high nd 5 feet wide, how long must the support bem be? 5 1 c 5 1 c 169 c 169 c 13 c The length of the digonl support bem is 13 feet. 1. The length of the hypotenuse of right tringle is 0 centimeters. The legs of the tringle re the sme length. How long is ech leg of the tringle? The length of ech leg of the tringle is pproximtely 8.3 centimeters. 010 Crnegie Lerning, Inc. Chpter Skills Prctice
16 Nme Dte. A crpenter props ldder ginst the wll of building. The bse of the ldder is 10 feet from the wll. The top of the ldder is feet from the ground. How long is the ldder? 10 c c 676 c 676 c 6 c The ldder is 6 feet long. 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 5
17 Skills Prctice Skills Prctice for Lesson.3 Nme Dte Specil Right Tringles Properties of Tringle Vocbulry Define ech term in your own words tringle A tringle is n isosceles right tringle Tringle Theorem The Tringle Theorem sttes tht the length of the hypotenuse in tringle is times the length of leg. Problem Set Determine the length of the hypotenuse of ech tringle. Write your nswer s rdicl in simplest form. 1. in. c. 5 cm c in. c c 5 5 cm 3. The length of the hypotenuse is The length of the hypotenuse is inches. 5 centimeters. 9 ft c 9 ft. 7 km c 9 c 7 The length of the hypotenuse is The length of the hypotenuse is 9 feet. 7 kilometers. c 7 km 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 7
18 Determine the lengths of the legs of ech tringle. Write your nswer s rdicl in simplest form cm 6. 1 mi The length of ech leg is 8 centimeters. The length of ech leg is 6 miles ft 8. 8 m The length of ech leg is 6 feet. The length of ech leg is 8 meters. 010 Crnegie Lerning, Inc. Use the given informtion to nswer ech question. Round your nswer to the nerest tenth, if necessry. 9. Soren is flying kite on the bech. The string forms 5º ngle with the ground. If he hs let out 16 meters of line, how high bove the ground is the kite? The kite is pproximtely 11.3 meters bove the ground. 8 Chpter l Skills Prctice
19 Nme Dte 10. Meen is picking ornges from the tree in her yrd. She rests 1foot ldder ginst the tree t 5º ngle. How fr is the top of the ldder from the ground? The top of the ldder is pproximtely 8.5 feet from the ground. 11. Emily is building squre bookshelf. She wnts to dd digonl support bem to the bck to strengthen it. The digonl divides the bookshelf into two 5º 5º 90º tringles. If ech side of the bookshelf is feet long, wht must the length of the support bem be? c 5.7 The support bem must be pproximtely 5.7 feet long. 1. Prospect Prk is squre with side lengths of 51 meters. One of the pths through the prk runs digonlly from the northest corner to the southwest corner, nd divides the prk into two 5º 5º 90º tringles. How long is tht pth? c The pth is pproximtely 7.1 meters long. 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 9
20 Determine the re of ech tringle mm A 1 (8 )(8 ) A 6( ) A 6() A 6 The re of the tringle is 6 squre millimeters in A 1 (9 )(9 ) A 81( ) A 81() A 81 The re of the tringle is 81 squre inches. 010 Crnegie Lerning, Inc ft A 1 ( 7 )( 7 ) A 9( ) 8 A 9() 8 A 1.5 The re of the tringle is 1.5 squre feet. 50 Chpter l Skills Prctice
21 Nme Dte m A ( 1 11 )( 11 ) A 11( ) 8 A 11() 8 A 30.5 The re of the tringle is 30.5 squre meters. Use the given informtion to nswer ech question. 17. Eli is mking mosic using tiles shped like 5º 5º 90º tringles. The length of the hypotenuse of ech tile is 13 centimeters. Wht is the re of ech tile? ( A ( 1 13 )( 13 ) ) ( ) 13 A 169( ) 169() 8 8 A The re of ech tile is.5 squre centimeters. 18. Bked pit chips re often in the shpe of 5º 5º 90º tringles. Citlyn finds tht the longest side of pit chip in one bg mesures 3 centimeters. Wht is the re of the pit chip? 3 A ( )( 3 ) 3 A 9( ) 8 3 A 9() 8 A.5 The re of ech pit chip is.5 squre centimeters. 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 51
22 19. Annik is mking kite in the shpe of 5º 5º 90º tringle. The longest side of the kite is 8 inches. Wht is the re of the piece of fbric needed for the kite? A 1 (1 )(1 ) A 196( ) A 196() A 196 The re of the piece of fbric needed for the kite is 196 squre inches. 0. A tent hs mesh door tht is shped like 5º 5º 90º tringle. The longest side of the door is 36 inches. Wht is the re of the mesh door? A 1 (18 )(18 ) A 3( ) A 3() A 3 The re of the mesh door is 3 squre inches. 010 Crnegie Lerning, Inc. 5 Chpter l Skills Prctice
23 Nme Dte Construct ech isosceles tringle described using the given segment. 1. Construct right isosceles tringle ABC with segment BC s the hypotenuse by constructing 5 ngles t B nd C. B C A B C. Construct right isosceles tringle WXY with segment WX s the hypotenuse by constructing 5 ngles t W nd X. W X W X X 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 53
24 3. Construct right isosceles tringle PQR with RQ s leg nd R s the right ngle. R Q P R Q. Construct right isosceles tringle DEF with DF s leg nd D s the right ngle. D F E 010 Crnegie Lerning, Inc. D F 5 Chpter l Skills Prctice
25 Skills Prctice Skills Prctice for Lesson. Nme Dte Other Specil Right Tringles Properties of Tringle Vocbulry Write the term tht best completes ech sttement. 1. A(n) 30º 60º 90º tringle is formed by dividing n equilterl tringle in hlf by its ltitude.. The 30º 60º 90º Tringle Theorem sttes tht the length of the hypotenuse in tringle is two times the length of the shorter leg, nd the length of the longer leg is 3 times the length of the shorter leg. Problem Set Determine the mesure of the indicted interior ngle. 1. A. D 30 B C E G F m ABC 60º m DFE 60º 3. H 30. R 60 J A K S A T m HAK 90º m TRA 30º 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 55
26 Given the length of the short leg of tringle, determine the lengths of the long leg nd hypotenuse. Write your nswers s rdicls in simplest form ft 60 c in. c b 30 b 30 3 ft 5 in. b 3 3 ft b 5 3 in. c (3) 6 ft c (5) 10 in mm b c cm 6 mm 15 cm b mm b cm c 6 mm c 15 cm Given the length of the hypotenuse of tringle, determine the lengths of the two legs. Write your nswers s rdicls in simplest form. 60 c b m km b 30 b Crnegie Lerning, Inc. 11. c 0 m c 16 km 0 10 m 16 8 km b 10 3 m b 8 3 km yd b ft c 6 3 yd c ft yd ft b ( 3 3 ) yd b ( ) 3 6 ft b Chpter l Skills Prctice
27 Nme Dte Given the length of the long side of tringle, determine the lengths of the short leg nd hypotenuse. Write your nswers s rdicls in simplest form c 8 3 in c 11 3 m b 8 3 in. b 11 3 m in m 3 c (8) 16 in. c (11) m c c 30 1 mi ft b 1 mi b 18 ft mi c ( 3 ) 8 3 mi b ( 6 3 ) 1 3 ft 6 3 ft Determine the re of ech tringle. Round your nswer to the nerest tenth, if necessry cm b cm b 3 3 cm A A cm The re of the tringle is pproximtely 7.8 squre centimeters. 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 57
28 km b km b 6 3 km A A 36 3 A km The re of the tringle is pproximtely 31. squre kilometers. 19. Universl Sporting Goods sells pennnts in the shpe of 30º 60º 90º tringles. The length of the longest side of ech pennnt is 16 inches. c 16 in in. b 8 3 in. A A 6 3 A in. The re of the pennnt is pproximtely 55. squre inches. 010 Crnegie Lerning, Inc. 0. A fctory produces solid drfting tringles in the shpe of 30º 60º 90º tringles. The length of the side opposite the right ngle is 15 centimeters. c 15 cm 15 cm b 15 ( 3 ) 15 3 cm A A cm 8 The re of the drfting tringle is pproximtely 8.7 squre centimeters. 58 Chpter l Skills Prctice
29 Nme Dte Construct ech tringle described using the given segment. 1. Construct tringle by first constructing n equilterl tringle with MN s side, nd then bisecting one of the sides. M N M N. Construct tringle RST by first constructing n equilterl tringle with RS s side, nd then bisecting the ngle t R. R S R T S 010 Crnegie Lerning, Inc. Chpter Skills Prctice 59
30 3. Construct tringle EFG with EF s the side opposite the 30 ngle by first constructing n equilterl tringle. E F F G E. Construct tringle ABC by first copying ngle A, nd then drwing AB s the hypotenuse. A B A 30 C 010 Crnegie Lerning, Inc. A B 60 Chpter l Skills Prctice
31 Skills Prctice Skills Prctice for Lesson.5 Nme Dte Pst Anyone? Tringle Inequlity Theorem Vocbulry Identify n exmple of ech term in the digrm of tringle ABC. 1. Tringle Inequlity Theorem B AB BC AC. uxiliry line Line BD is n uxiliry line. A D C Problem Set Without mesuring the ngles, list the ngles of ech tringle in order from lest to gretest mesure in. F G 11 in. 9 in. H..7 cm Y 3.6 cm X.1 cm W The smllest ngle of tringle is opposite the shortest side. So, the ngles from lest to gretest re H, F, G. The smllest ngle of tringle is opposite the shortest side. So, the ngles from lest to gretest re Y, X, W. 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 61
32 3. Q. T 1 in S 8 ft ft 9 in 15 in P 6.3 ft R U The smllest ngle of tringle is opposite the shortest side. So, the ngles from lest to gretest re P, Q, R. 5. F The smllest ngle of tringle is opposite the shortest side. So, the ngles from lest to gretest re S, U, T. 6. K.6 yd 9. yd 5.8 m. m E 6 yd G M 5. m L The smllest ngle of tringle is opposite the shortest side. So, the ngles from lest to gretest re G, F, E. The smllest ngle of tringle is opposite the shortest side. So, the ngles from lest to gretest re M, K, L. Determine whether it is possible to form tringle using ech set of segments with the given mesurements. Explin your resoning in.,.9 in., 5 in ft, 9 ft, 11 ft Yes. Becuse , nd Yes. Becuse , nd 5.9 is greter thn is greter thn Crnegie Lerning, Inc. 9. m, 5.1 m, 1.5 m cm, 8.1 cm, 9.8 cm No. Becuse , nd Yes. Becuse , nd 9.1 is not greter thn is greter thn yd, 5 yd, 1 yd km, 6.3 km, 7.5 km No. Becuse , nd No. Becuse , nd 15 is not greter thn is not greter thn mm, 300 mm, 190 mm in., 11 in., 8. in. Yes. Becuse , nd No. Becuse , nd 30 is greter thn is not greter thn Chpter l Skills Prctice
33 Nme Dte cm, 1 cm, 17 cm ft, 8 ft, 8 ft No. Becuse , nd Yes. Becuse , nd 9 is not greter thn is greter thn 8. Write n inequlity tht expresses the possible lengths of the unknown side of ech tringle. 17. Wht could be the length of AB? 18. Wht could be the length of DE? A D 10 m 6 cm B 8 m C AB AC BC AB 10 m 8 m AB 18 m 19. Wht could be the length of HI? 0 in. I F 9 cm E DE DF EF DE 6 cm 9 cm DE 15 cm 0. Wht could be the length of J L? 1 ft J H 1 in. G HI GH GI HI 1 in. 0 in. HI 3 in. K 7 ft L JL JK KL JL 1 ft 7 ft JL 19 ft 010 Crnegie Lerning, Inc. Chpter l Skills Prctice 63
34 1. Wht could be the length of MN? M. Wht could be the length of QR? P N 11 cm O 3 cm 9 mm 13 mm R Q MN NO MO MN 11 cm 3 cm MN 1 cm QR PR PQ QR 9 mm 13 mm QR mm 010 Crnegie Lerning, Inc. 6 Chpter l Skills Prctice
Why? DF = 1_ EF = _ AC
Similr Tringles Then You solved proportions. (Lesson 2) Now 1Determine whether two tringles re similr. 2Find the unknown mesures of sides of two similr tringles. Why? Simon needs to mesure the height
More informationThe Pythagorean Theorem and Its Converse Is That Right?
The Pythgoren Theorem nd Its Converse Is Tht Right? SUGGESTED LEARNING STRATEGIES: Activting Prior Knowledge, Mrking the Text, Shred Reding, Summrize/Prphrse/Retell ACTIVITY 3.6 How did Pythgors get theorem
More informationApply the Pythagorean Theorem
8. Apply the Pythgoren Theorem The Pythgoren theorem is nmed fter the Greek philosopher nd mthemtiin Pythgors (580500 B.C.E.). Although nient texts indite tht different iviliztions understood this property
More informationLesson 12.1 Right Triangle Trigonometry
Lesson 12.1 Right Tringle Trigonometr 1. For ech of the following right tringles, find the vlues of sin, cos, tn, sin, cos, nd tn. (Write our nswers s frctions in lowest terms.) 2 15 9 10 2 12 2. Drw right
More informationMath commonly used in the US Army Pathfinder School
Mth commonly used in the US Army Pthfinder School Pythgoren Theorem is used for solving tringles when two sides re known. In the Pthfinder Course it is used to determine the rdius of circulr drop zones
More informationApplication of Geometric Mean
Section 81: Geometric Means SOL: None Objective: Find the geometric mean between two numbers Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse
More informationMATHEMATICAL PRACTICES In the Solve It, you used what you know about triangles to find missing lengths. Key Concept Law of Sines
85 205 Lw of Sines ontent Stndrds G.SRT.11 Understnd nd ppl the Lw of Sines... to find unknown mesurements in right nd nonright tringles... lso G.SRT.10 Ojetives To ppl the Lw of Sines 66 ft 35 135
More information5.5 Use Inequalities in a Triangle
5.5 Use Inequalities in a Triangle Goal p Find possible side lengths of a triangle. Your Notes Example 1 Relate side length and angle measure Mark the largest angle, longest side, smallest angle, and shortest
More informationName Class Date SAMPLE. Complete the missing numbers in the sequences below. 753, ,982. The area of the shape is approximately cm 2
End of term: TEST A You will need penil. Yer 5 Nme Clss Dte 1 2 Complete the missing numers in the sequenes elow. 200 3926 4926 400 500 700 7926 753,982 553,982 Estimte the re of the shpe elow. The re
More informationGrade 6. Mathematics. Student Booklet SPRING 2011 RELEASED ASSESSMENT QUESTIONS. Record your answers on the MultipleChoice Answer Sheet.
Grde 6 Assessment of Reding, Writing nd Mthemtics, Junior Division Student Booklet Mthemtics SPRING 211 RELEASED ASSESSMENT QUESTIONS Record your nswers on the MultipleChoice Answer Sheet. Plese note:
More information81. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
81 he Pythagorean heorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number Square Positive Square Root 9 81 3 1 4 1 16 1 2 Vocabulary Builder leg
More informationChapter 10. Right Triangles
Chapter 10 Right Triangles If we looked at enough right triangles and experimented a little, we might eventually begin to notice some relationships developing. For instance, if I were to construct squares
More informationName Date PD. Pythagorean Theorem
Name Date PD Pythagorean Theorem Vocabulary: Hypotenuse the side across from the right angle, it will be the longest side Legs are the sides adjacent to the right angle His theorem states: a b c In any
More informationParallel Lines Cut by a Transversal
Name Date Class 111 Parallel Lines Cut by a Transversal Parallel Lines Parallel Lines Cut by a Transversal A line that crosses parallel lines is a transversal. Parallel lines never meet. Eight angles
More informationStudent Outcomes. Lesson Notes. Classwork. Discussion (20 minutes)
Student Outcomes Students explain a proof of the converse of the Pythagorean Theorem. Students apply the theorem and its converse to solve problems. Lesson Notes Students had their first experience with
More informationAreas of Parallelograms and Triangles 71
Areas of Parallelograms and Triangles 71 Parallelogram A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of parallelogram, but we often see
More informationSpecial Right Triangles
GEOMETRY Special Right Triangles OBJECTIVE #: G.SRT.C.8 OBJECTIVE Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *(Modeling Standard) BIG IDEA (Why is
More informationSAMPLE EVALUATION ONLY
mesurement nd geometry topic 15 Pythgors theorem 15.1 Overview Why lern this? Pythgors ws fmous mthemtiin who lived out 2500 yers go. He is redited with eing the fi rst person to prove tht in ny rightngled
More informationLesson 3: Using the Pythagorean Theorem. The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1
Lesson 3: Using the Pythagorean Theorem The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1 A sailboat leaves dock and travels 6 mi due east. Then it turns 90 degrees
More information9.3 AltitudeonHypotenuse Theorems
9.3 AltitudeonHypotenuse Theorems Objectives: 1. To find the geometric mean of two numbers. 2. To find missing lengths of similar right triangles that result when an altitude is drawn to the hypotenuse
More informationListening & Speaking. Grade 1. Supports. instructi GRADE. Develops oral and receptive language. 15 to 20minute daily activities
Grde 1 to Stte Correlted Stndrds GRADE Develops orl nd receptive lnguge 1 EMC 2416 15 to 20minute dily ctivities Listening & Home School Connection resources Supports t s r i F g n i Red ding E bo ok
More informationAreas of Trapezoids, Rhombuses, and Kites. To find the area of a trapezoid, rhombus, or kite
102 Areas of Trapezoids, Rombuses, and Kites Common Core State Standards GMG.A.1 Use geometric sapes, teir measures, and teir properties to describe objects. MP 1, MP 3, MP 4, MP 6 Objective To find
More informationPerimeter. Perimeter is the distance around a shape. You can use grid. Step 1 On grid paper, draw a rectangle that has a length
Lesson 13.1 Perimeter Perimeter is the distance around a shape. You can use grid paper to count the number of units around the outside of a rectangle to find its perimeter. How many feet of ribbon are
More informationbark bark bat bat Multiple Meaning Words: Kindergarten to Grade 2 More Teaching Tools at harsh sound made by a dog
the brk the brk bt bt hrsh sound mde by dog Mx, stop brking! outside cover of the trunks, brnches, nd roots of woody plnts The brk of this tree is very rough. club of wood or metl used to hit the bll in
More informationERRATA for Guide for the Development of Bicycle Facilities, 4th Edition (GBF4)
Dvid Bernhrdt, P.E., President Commissioner, Mine Deprtment of Trnsporttion Bud Wright, Executive Director 444 North Cpitol Street NW, Suite 249, Wshington, DC 20001 (202) 6245800 Fx: (202) 6245806 www.trnsporttion.org
More informationAre You Ready? Pythagorean Theorem
SKILL Pythagorean Theorem Teahing Skill Objetive Find the length of the hypotenuse of a right triangle. Have students read the Pythagorean Theorem. Restate the theorem in words, as follows: the sum of
More informationDeriving the Law of Cosines
Name lass Date 14. Law of osines Essential Question: How can you use the Law of osines to find measures of any triangle? Resource Locker Explore Deriving the Law of osines You learned to solve triangle
More informationUnit 2: Right Triangle Trigonometry RIGHT TRIANGLE RELATIONSHIPS
Unit 2: Right Triangle Trigonometry This unit investigates the properties of right triangles. The trigonometric ratios sine, cosine, and tangent along with the Pythagorean Theorem are used to solve right
More informationMath3. Lesson 65 The Law of Sines The Ambiguous Case
Math3 Lesson 65 The Law of Sines The miguous Case Quiz 64: 1. Find the measure of angle θ. Ө = 33.7 2. What is the cosecant ratio for ϴ? Csc Ө = 2 5 5 3. standard position angle passes through the point
More informationName. STAR CITY Math / Geometry / Review: Right Triangles. Teacher Period
STAR CITY Math / Geometry / Review: Right Triangles 1. Firefighters use a 20 foot extension ladder to reach 16 feet up a building. How far from the building should they place the base of the ladder? Name
More informationSpecial Right Triangle Task Cards
Special Right Triangle Task Cards 454590 and 306090 Special Right Triangle Task Cards 454590 and 306090 Teachers: I have included 2 sets of task cards. The first set (slides 39) asks for the answer
More informationBicycle wheel and swivel chair
Aim: To show conservtion of ngulr momentum. To clrify the vector chrcteristics of ngulr momentum. (In this demonstrtion especilly the direction of ngulr momentum is importnt.) Subjects: Digrm: 1Q40 (Conservtion
More informationPractice A. Congruent Figures. Are there any congruent figures in each picture? If there are, describe them
Name Date Class Practice A Are there any congruent figures in each picture? If there are, describe them. Determine the unknown measure in each set of congruent polygons. 7. 8. 9. 10. Name Date Class Practice
More informationUnit #8 Review Right Triangle Trigonometry. 1. Which of the following could represent the sides of a right triangle?
Name: Date: Unit #8 Review Right Triangle Trigonometry 1. Which of the following could represent the sides of a right triangle? (1) { 6, 8,14 } (2) {, 20, } (3) { 15, 20, } (4) {,15, 20 } 2. Which of the
More informationRightangled triangles and trigonometry
Rightangled triangles and trigonometry 5 syllabusref Strand: Applied geometry eferenceence Core topic: Elements of applied geometry In this cha 5A 5B 5C 5D 5E 5F chapter Pythagoras theorem Shadow sticks
More informationOVERVIEW Similarity Leads to Trigonometry G.SRT.6
OVERVIEW Similarity Leads to Trigonometry G.SRT.6 G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric
More information2014 Victorian Shooting Championship
2014 Victorin Shooting Chmpionship VPCI, in conjunction with the Stte Coches nd the Stte Umpires invite ll PFA licensed petnque plyers in the Stte of Victori to tke prt in the 2014 Victorin Shooting Chmpionship.
More informationLateral Earth Pressure on Lagging in Soldier Pile Wall Systems
Lterl Erth Pressure on Lgging in Soldier Pile Wll Systems Howrd A. Perko, Ph.D, P.E., CTL Thompson, Fort Collins, CO, USA hperko@ctlthompson.com John J Boulden, SGM, Inc., Grnd Junction, CO johnb@sgminc.com
More informationCH 34 MORE PYTHAGOREAN THEOREM AND RECTANGLES
CH 34 MORE PYTHAGOREAN THEOREM AND RECTANGLES 317 Recalling The Pythagorean Theorem a 2 + b 2 = c 2 a c 90 b The 90 angle is called the right angle of the right triangle. The other two angles of the right
More informationWarm Up Find what numbers the following values are in between.
Warm Up Find what numbers the following values are in between. 1. 30 2. 14 3. 55 4. 48 Color squares on each side of the triangles with map pencils. Remember A square has 4 equal sides! Looking back at
More informationDesign and Calibration of Submerged Open Channel Flow Measurement Structures: Part 3  Cutthroat Flumes
Uth Stte University DigitlCommons@USU Reports Uth Wter Reserch Lbortory Jnury 1967 Design nd Clibrtion of Submerged Open Chnnel Flow Mesurement Structures: Prt 3  Cutthrot Flumes Gylord V. Skogerboe M.
More information13.7 Quadratic Equations and Problem Solving
13.7 Quadratic Equations and Problem Solving Learning Objectives: A. Solve problems that can be modeled by quadratic equations. Key Vocabulary: Pythagorean Theorem, right triangle, hypotenuse, leg, sum,
More informationMATHCOUNTS. Raytheon National Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. Name.
MATHCOUNTS 2009 National Competition Sprint Round Problems 1 30 Name State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of 30 problems. You will have 40 minutes
More informationA 28inch ribbon was cut into four equal lengths. How long was each piece of ribbon?
Name Score Benchmark Test 1 Math Course 1 For use after Lesson 0 1. (5) A inch ribbon was cut into four equal lengths. How long was each piece of ribbon? A. 7 inches B. 7 1 inches. () In a class of students
More information7.2 Assess Your Understanding
538 HPTER 7 pplitions of Trigonometri Funtions 7. ssess Your Understnding re You Prepred? nswers re given t the end of these exerises. If you get wrong nswer, red the pges listed in red. 1. The differene
More informationRight Triangle Trigonometry
ONDENSED LESSON 1.1 Right Tringle Trigonometr In this lesson ou will lern out the trigonometri rtios ssoited with right tringle use trigonometri rtios to find unknown side lengths in right tringle use
More informationThe Pythagorean Theorem Diamond in the Rough
The Pythagorean Theorem SUGGESTED LEARNING STRATEGIES: Shared Reading, Activating Prior Knowledge, Visualization, Interactive Word Wall Cameron is a catcher trying out for the school baseball team. He
More informationTrigonometry. What you will learn
C H P T R 10 Trigonometry hat you will learn 10.1 Introducing trigonometry 10.2 Finding the side length of a rightangled triangle 10.3 Further problems involving side lengths 10.4 Finding the angle 10.5
More informationAdding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1
Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1 Reteaching 1 Math Course 1, Lesson 1 To add money, line up the decimal points. Then add each column starting on
More informationRight is Special 1: Triangles on a Grid
Each student in your group should have a different equilateral triangle. Complete the following steps: Using the centimeter grid paper, determine the length of the side of the triangle. Write the measure
More informationSum Fun Tournament Meeting (Multiple Topics)
Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below
More informationACTIVITY: Finding a Formula Experimentally
8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack
More informationA.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5
A.M. The time between 12:00 midnight and 12:00 noon. Houghton Mifflin Co. 1 Grade 4 Unit 5 bar graph A graph in which information is shown by means of rectangular bars. Favorite Sea Creature Sea Creature
More informationUNIT 2 RIGHT TRIANGLE TRIGONOMETRY Lesson 2: Applying Trigonometric Ratios Instruction
Prerequisite Skills This lesson requires the use of the following skills: defining and calculating sine, cosine, and tangent setting up and solving problems using the Pythagorean Theorem identifying the
More informationParking Lot HW? Joke of the Day: What do you get when you combine a flat, infinite geometric figure with a beef patty?
Parking Lot HW? Joke of the Day: What do you get when you combine a flat, infinite geometric figure with a beef patty? a plane burger Agenda 1 23 hw? Finish Special Right Triangles L8 3 Trig Ratios HW:
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication
More informationPART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE
PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE LINEAR MEASURE In geometry, linear measure is the measure of distance. For instance, lengths, heights, and widths of geometric figures are distances,
More informationLesson 12.1 Skills Practice
Lesson 12.1 Skills Practice Name Date Customary to Whom? Customary Measurement Vocabulary Match each definition to its corresponding term. 1. to change a measurement to an equivalent measurement in different
More informationMonday Tuesday Wednesday Thursday
Name: Weekly Math Homework  Q1:1 Teacher: Monday Tuesday Wednesday Thursday Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of
More informationNote! In this lab when you measure, round all measurements to the nearest meter!
Distance and Displacement Lab Note! In this lab when you measure, round all measurements to the nearest meter! 1. Place a piece of tape where you will begin your walk outside. This tape marks the origin.
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication
More informationTHINK SAFETY  WORK SAFELY
 Plot Date: Friday, July 06, 2012 @ 1:52:0 PM Last Saved: Friday, July 06, 2012 @ 1:13:03 PM Last Saved By: Garcia, Felipe File Path: C:\Users\garciafe\documents\S\first Coast Oncology\first Coast Oncology_drawings\FIRST
More informationMeasurement LESSON ONE  Metric and Imperial Lesson Notes
0 1 2 Measurement Introduction Introduction to Measurement a) Complete the following table: Unit Length Multiplying (in metres) Factor Referent mm cm dm m dam hm km b) Indicate which measuring tool is
More informationWeek 11, Lesson 1 1. Warm Up 2. Notes Sine, Cosine, Tangent 3. ICA Triangles
Week 11, Lesson 1 1. Warm Up 2. Notes Sine, Cosine, Tangent 3. ICA Triangles HOW CAN WE FIND THE SIDE LENGTHS OF RIGHT TRIANGLES? Essential Question Essential Question Essential Question Essential Question
More informationBASKETBALL SPEED AND AGILITY
SKETLL SPEED ND GILITY Off court Speed and gility Work: ox gility Drills: cone set up 5 yards apart, read and follow description Drill 1 : (1234) Sprint around cones, make hard cuts Drill 2: 12 Sprint,
More informationGraphic Standards Guide
Grphic Stndrds Guide YOGA LOVE RUN PEACE 2 ABOUT This Grphic Stndrds Guide covers the bsic guidelines for the Lululemon Athletic s new grphic identity. The Guide provides summry of the primry fetures nd
More informationA Measurement Framework for National Key Performance Measures
MINISTERIAL COUNCIL ON EDUCATION, EMPLOYMENT, TRAINING AND YOUTH AFFAIRS Performnce Mesurement nd Reporting Tskforce Working for qulity eduction outcomes A Mesurement Frmework for Ntionl Key Performnce
More informationTOPIC III: Proportional Reasoning. Good Luck to:
Good Luck to: Period: Date DIRECTIONS: Show all work in the space provided. 1. Joniqua wants to get an A in her Algebra 1 class. So far she has four test scores; 77%, 83%, 97%, and 95%. Which choice best
More informationLesson 1.1 Imperial Measures of Length Exercises (pages 11 12) a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd.
Lesson 1.1 Imperial Measures of Length Exercises (pages 11 1) A 3. Answers may vary. For example: a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd. b) Inch; because a mattress is
More informationMath 081 Worksheet Section 5.4 v01 Spring 2011 Dressler. Name
Math 081 Worksheet Section 5. v01 Spring 2011 Dressler Name Solve. 1) The ratio of a quarterback's completed passes to attempted passes is 5 to 6. If he attempted 2 passes, find how many passes he completed.
More informationPreAlgebra Chapter 3 Decimals and Equations
PreAlgebra Chapter 3 Decimals and Equations SOME NUMBERED QUESTIONS HAVE BEEN INTENTIONALLY DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLECHOICE QUESTIONS, AND THEREFORE YOU
More informationPerimeter. Name. 22 Topic 17. Reteaching Find the perimeter of the figure below.
Perimeter Reteaching 11 Find the perimeter of the figure below. 15 m x 4 ft 4 ft 2 ft y 2 ft 5 ft 6 m 20 ft Reteaching 11 By using a formula: There are two equal lengths and equal widths, so you can
More information8.3 Trigonometric RatiosTangent. Geometry Mr. Peebles Spring 2013
8.3 Trigonometric RatiosTangent Geometry Mr. Peebles Spring 2013 Bell Ringer 3 5 Bell Ringer a. 3 5 3 5 = 3 5 5 5 Multiply the numerator and denominator by 5 so the denominator becomes a whole number.
More informationTIME MEASUREMENT. A 90 minutes B 180 minutes C 2 hours 30 minutes D 3 hours. + 2 hours +45 min. +15 min.
TIME MEASUREMENT Eample: The McMillians are going to visit their grandparents. They leave their home at a quarter after eleven in the morning. They arrive at their grandparents fifteen minutes after two
More informationDiscovering Special Triangles Learning Task
The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still
More informationAlgebra I: Strand 3. Quadratic and Nonlinear Functions; Topic 1. Pythagorean Theorem; Task 3.1.2
Algebra I: Strand 3. Quadratic and Nonlinear Functions; Topic. Pythagorean Theorem; Task 3.. TASK 3..: 3060 RIGHT TRIANGLES Solutions. Shown here is a 3060 right triangle that has one leg of length and
More informationPythagorean Theorem in Sports
Name Date Pythagorean Theorem in Sports Activity 1: Pythagorean Theorem in Baseball Directions: Measure the distance between each of the bases using the yard stick provided. Then convert your measurements
More informationFourth Grade. Line Plots. Slide 1 / 100 Slide 2 / 100. Slide 4 / 100. Slide 3 / 100. Slide 6 / 100. Slide 5 / 100. Measurement and Data
Slide 1 / 100 Slide / 100 Fourth Grade Measurement and ata 015113 www.njctl.org Slide 3 / 100 Slide 4 / 100 Table of ontents lick on a topic to go to that section Line Plots Measurement Systems onversion
More informationA Universal Zombie RPG AddOn
A Universl Zombie RPG AddOn Brk Blckburn Assuming you re plying gme tht uses dice for tsk resolution, the Zombie Die cn be semlessly integrted into your gme. Zombies! Thnks to George Romero, Zombies re
More informationThe distancetime graphs below represent the motion of a car. Match the descriptions with the graphs. Explain your answers.
Motion Graphs 6 The distancetime graphs below represent the motion of a car. Match the descriptions with the graphs. Explain your answers. Descriptions: 1. The car is stopped. 2. The car is traveling
More informationFourth Grade. Slide 1 / 100. Slide 2 / 100. Slide 3 / 100. Measurement and Data. Table of Contents Click on a topic to go to that section.
Slide 1 / 100 Slide 2 / 100 Fourth Grade Measurement and Data 20151123 www.njctl.org Table of Contents Click on a topic to go to that section Slide 3 / 100 Line Plots Measurement Systems Conversion of
More informationPractice Test. 2 What is the area of this figure?
Practice Test 1 Which letter has a line of symmetry? S J R W L 3 Jane's house has a garden which is in the shape of a square. If each side of the garden is 18 feet then what is the perimeter of the garden?
More informationABSTRACT EXPERIMENTAL METHOD AND MODEL
Proceedings of The Twelfth () Interntionl Offshore nd Polr Engineering Conference Kitkyushu, Jpn, My 31, Copyright by The Interntionl Society of Offshore nd Polr Engineers ISBN 15353 (Set); ISSN 1919
More informationDIVISION: CONCRETE SECTION: CASTIN CONCRETE ANCHORS SECTION: CONCRETE ANCHORS REPORT HOLDER: HALFEN GMBH
0 Most Widely Accepted nd Trusted ICCES Evlution Report ICCES 000 (800) 4236587 (562) 6990543 www.icces.org ESR406 Issued 06/207 This report is subject to renewl 06/208. DIISIO: 03 00 00 COCRETE
More information2018 Sponsorship Opportunities
Thursdy Sturdy, September 27 29, 2018 Henry B. Gonzlez Convention Center Hytt Regency Sn Antonio Sn Antonio, Texs 2018 Sponsorship Opportunities Secure Your Spce Tody! Event cosponsored the Auto Glss
More informationMAPPING DESCRIPTIONS AND DRAFTING PARCEL BOUNDARIES FOR CADASTRAL MAPPING
MAPPING DESCRIPTIONS AND DRAFTING PARCEL BOUNDARIES FOR CADASTRAL MAPPING Chapter 6 2015 Cadastral Mapping Manual 60 Another method of describing land, aside from the fractional section method, is called
More informationMeasuring Length. Goals. You will be able to
Measuring Length Goals You will be able to choose, use, and rename metric length measurements measure perimeters of polygons solve problems using diagrams and graphs Running in a Triathlon Racing Snails
More information2018 Chapter Competition Countdown Round Problems 1 80
2018 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company
More informationApplications of trigonometry
Applications of trigonometry This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationWorking Paper: Reversal Patterns
Remember to welcome ll ides in trding. AND remember to reserve your opinion until you hve independently vlidted the ide! Working Pper: Reversl Ptterns Working Pper In this pper I wnt to review nd (hopefully)
More informationCS 188: Artificial Intelligence Spring Announcements
CS 188: Artificil Intelligence Spring 2011 Lecture 19: Dynmic Byes Nets, Nïve Byes 4/6/2011 Pieter Aeel UC Berkeley Slides dpted from Dn Klein. Announcements W4 out, due next week Mondy P4 out, due next
More informationLesson 5.3 Interpreting and Sketching Graphs Exercises (pages )
Lesson 5.3 Interpreting and Sketching Graphs Exercises (pages 281 283) A 3. a) Bear F has the greatest mass because it is represented by the point on the graph farthest to the right and the horizontal
More informationUnit Conversions Practice
Make the following conversions: 1) Convert 16.7 inches to feet Unit Conversions Practice 2) Convert 25 yards to feet (there are 3 feet in a yard) 3) Convert 90 centuries to years 4) Convert 84 miles to
More informationPerimeter. Perimeter is the distance around a figure. Add to find the perimeter (P) of each figure. P
Place Value: Large Numbers... 5 Comparing Numbers...6 Rounding Numbers...7 TwoDigit Addition with Regrouping...8 ThreeDigit Addition with Regrouping...9 Addition of Large Numbers... 10 Problem olving:
More informationName: Section: Tuesday February 14 th 12.8 (2 pages) Wednesday February 15 th Conversion Worksheets (2 pages) Thursday February 16 th 12.
Homework Hello Students and Parents. We will continue Chapter 12 this week, Measurements. Students will use models to compare metric units of length, weight and volume. Students will use models to compare
More informationSept 23, 2014 LAB MANUAL
Sept 23, 2014 LAB MANUAL 1000.0 1000 STANDARD PRACTICES 1000.1 CALCULATIONS and FORMS Throughout this manual there are test calculation procedures. These calculations are provided so that a technician
More informationMath 6 EQT Study Guide Quarter 3. and a package of 12 golf balls. The package with 3 golf balls costs $4.59, and the package with 12 golf balls
Math EQT Study Guide Quarter 3 1. How will the surface area of the figure represented by the net change if the length increases by 7 feet? The original figure has dimensions of l = 12 feet, w = feet, and
More informationSurface Area and Volume of Pyramids
Surface Area and Volume of Pyramids Problem Set For each pyramid, identify the variable that represents each of the following: A. Height B. Slant height C. Side length of base 1. 3. a d e y z b w v c x
More informationKaZoon. Kite Kit. User Guide. Cautionary and Warning Statements
KaZoon Kite Kit User Guide Cautionary and Warning Statements 56799 V0717 This kit is designed and intended for educational purposes only. Use only under the direct supervision of an adult who has read
More informationDECIMALS. Chapter INTRODUCTION
hut6929_ch04_a.qxd 2/8/04 2:47 PM Page 279 Chapter DECIMALS 4 INTRODUCTION When you look into the cockpit of a plane, you have to be impressed with the number of gauges that face the pilot. It is remarkable
More information