Special Right Triangles


 Cleopatra Barrett
 1 years ago
 Views:
Transcription
1 Pge of 5 L E S S O N 9.6 Specil Right Tringles B E F O R E Now W H Y? Review Vocbulr hpotenuse, p. 465 leg, p. 465 You found side lengths of right tringles. You ll use specil right tringles to solve problems. So ou cn find the distnce softbll is thrown, s in E. 5. A digonl of squre divides it into two 90 tringles. In such tringle, the lengths of the legs re equl. Let represent the length of ech leg, nd let c represent the length of the hpotenuse. B the Pthgoren theorem, c , so c c 90 Tringle Words In 90 tringle, the length of the hpotenuse is the product of the length of leg nd 2. 2 Algebr hpotenuse legp 2 2 Emple Using 90 Tringle Gmnstics The mt used for floor eercises t gmnstics competition is squre with side length of 2 meters. A gmnst strts t one corner of the mt nd does tumbling routine long the digonl to the opposite corner. To the nerest meter, how long is the gmnst s pth? 2 m 2 m Solution The digonl divides the mt into two 90 tringles. The digonl is the hpotenuse of ech of the tringles. hpotenuse leg p 2 2 p 2 7 Rule for 90 tringle Substitute. Use clcultor. Answer The gmnst s pth is bout 7 meters long. Lesson 9.6 Specil Right Tringles 483
2 Pge 2 of 5 Note Worth You cn orgnize informtion bout right tringles in our notebook using concept mp like the one on p Tringle You cn divide n equilterl tringle in hlf s shown to mke two 90 tringles. In the digrm, the equilterl tringle hs side lengths of 2. Ech right tringle hs hpotenuse of length 2 nd shorter leg of length. Let b be the length of the longer leg. B the Pthgoren theorem, (2) 2 2 b 2. Then b , so b b Tringle Stud Strteg In 90 tringle, the shorter leg is opposite the ngle, nd the longer leg is opposite the ngle. Words In 90 tringle, the length of the hpotenuse is twice the length of the shorter leg. The length of the longer leg is the product of the length of the shorter leg nd 3. Algebr hpotenuse 2pshorter leg 2 longer leg shorter legp Emple 2 Using 90 Tringle Find the length of the hpotenuse nd the length of the longer leg of the tringle. The tringle is 90 tringle. The length of the shorter leg is 8 units.. hpotenuse 2pshorter leg 2p8 6 Answer The length of the hpotenuse is 6 units. b. longer leg shorter legp Answer The length of the longer leg is 8 3 units. 8 Checkpoint Find the unknown lengths. Write our nswer in simplest form Chpter 9 Rel Numbers nd Right Tringles
3 Pge 3 of 5 Emple 3 Using Specil Right Tringle Architecture The bse of the Msschusetts Institute of Technolog s Building 66, n engineering lbortor, is pproimtel 90 tringle. The length of the hpotenuse of the tringle is bout 294 feet. Find, to the nerest foot, the lengths of the legs of the tringle. 294 ft Solution You need to find the length of the shorter leg first. 2 Find the length of the shorter leg. hpotenuse 2pshorter leg Substitute. Rule for 90 tringle 47 Divide ech side b 2. Find the length of the longer leg. longer leg shorter legp Rule for 90 tringle Substitute. Use clcultor. Answer The length of the shorter leg of the tringle is 47 feet. The length of the longer leg is bout 255 feet. INTERNET 9.6 Eercises eworkbook Plus Guided Prctice More Prctice, p. 8 CLASSZONE.COM Vocbulr Check Skill Check. Ech leg of 90 tringle hs length of 5 units. Wht is the length of the hpotenuse? 2. How is the length of the longer leg of 90 tringle relted to the length of the shorter leg? Find the unknown length. Write our nswer in simplest form Grphic Arts A grphic rtist s tools include tringle. The hpotenuse of the tringle hs length of 0 inches. To the nerest inch, how long re the legs of the tringle? in. Lesson 9.6 Specil Right Tringles 485
4 Pge 4 of 5 Prctice nd Problem Solving Homework Help Emple Eercises 7 9, 4, , , 5 Online Resources CLASSZONE.COM More Emples etutoril Plus Find the unknown lengths. Write our nswers in simplest form Spekers You connect stereo sstem to our television set. The directions s tht the spekers should be in line with our television nd 2 feet prt s shown.. Find the distnce between ou nd the television set to the nerest foot. b. Find the distnce between ou nd ech speker to the nerest foot. 4. Writing Eplin wh n two 90 tringles re similr. 5. Softbll The bses on softbll field form squre with side length of 60 feet. You throw softbll from first bse to third bse. How fr do ou throw the softbll? Round our nswer to the nerest foot. You 5 60 ft 3rd 2nd Speker TV Speker 60 ft st 2 2 ft Find the unknown lengths. Write our nswers in simplest form Etended Problem Solving There is prk in our town tht is squre with side length of 800 feet. You pln to wlk from one corner of the squre to the opposite corner.. Compre To the nerest foot, how much shorter is the distnce from one corner to the opposite corner long the digonl thn the distnce long two sides of the squre? b. You wlk t rte of 3 miles per hour. Find our rte in feet per second. c. Interpret To the nerest second, how much time would ou sve b wlking long the digonl rther thn wlking long two sides of the squre? 486 Chpter 9 Rel Numbers nd Right Tringles
5 Pge 5 of Wrenches You must choose the right size wrench to tighten nut. Ech edge of the nut hs length of 4 inch. You should choose wrench size tht is close to the distnce cross the nut from one edge to the opposite edge. Which wrench size should ou use, 3 8 inch, 7 inch, or 6 2 inch? 4 4 in. in. 2. Chllenge Find the vlue of. Give our nswer s rdicl in simplest form. 0 3 Mied Review Solve the proportion. (Lesson 6.2) 22. w z Submrines A silor on submrine uses periscope to view the surfce of the ocen. The periscope s height h (in feet) bove the surfce nd the distnce d (in miles) tht the silor cn see re relted 2 d b the formul h. Suppose the periscope is t height of 3 feet.. 4 To the nerest mile, how fr cn the silor see? (Lesson 9.) Find the midpoint of the segment with the given endpoints. (Lesson 9.5) 27. ( 3, 4), (, 6) 28. (8, 3), ( 2, 7) 29. (4,.), ( 2.4,.7) Stndrdized Test Prctice 30. Multiple Choice Wht is the vlue of? 2 A. ft B. 2 ft 3 C. 2 3 ft D ft 24 ft 3. Multiple Choice Ech leg of 90 tringle hs length of 5 units. Wht is the length of the hpotenuse? 5 F. 7.5 units G. units H. 5 units I. 5 2 units Short Response Eplin how to find the re of the equilterl tringle shown. 8 Lesson 9.6 Specil Right Tringles 487
Skills Practice Skills Practice for Lesson 4.1
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
More informationSkills Practice Skills Practice for Lesson 4.1
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
More informationWhy? 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 informationContents TRIGONOMETRIC METHODS PROBABILITY DISTRIBUTIONS
ontents UNIT 7 TRIGONOMETRI METHODS Lesson 1 Trigonometric Functions................... 462 1 onnecting ngle Mesures nd Liner Mesures.............. 463 2 Mesuring Without Mesuring.........................
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 informationIn any rightangle triangle the side opposite to the right angle is called the Label the Hypotenuse in each diagram above.
9 Ademi Mth Dte: Pythgoren Theorem RIGHT ANGLE TRIANGLE  A right tringle is tringle with one 90 0 ngle. For exmple: In ny rightngle tringle the side opposite to the right ngle is lled the Lbel the Hypotenuse
More informationSUMMER ASSIGNMENT FOR FUNCTIONS/TRIGONOMETRY Bring to school the 1 st day of class!
SUMMER ASSIGNMENT FOR FUNCTIONS/TRIGONOMETRY Bring to school the st d of clss! This summer ssignment is designed to prepre ou for Functions/Trigonometr. Nothing on the summer ssignment is new. Everthing
More informationSUMMER ASSIGNMENT FOR FUNCTIONS/TRIGONOMETRY Due September 7 th
SUMMER ASSIGNMENT FOR FUNCTIONS/TRIGONOMETRY Due Septemer 7 th This summer ssignment is designed to prepre ou for Functions/Trigonometr. Nothing on the summer ssignment is new. Everthing is review of topics
More informationChapter 5. Triangles and Vectors
www.ck12.org Chpter 5. Tringles nd Vectors 5.3 The Lw of Sines Lerning Objectives Understnd how both forms of the Lw of Sines re obtined. Apply the Lw of Sines when you know two ngles nd nonincluded side
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 informationChp. 3_4 Trigonometry.notebook. October 01, Warm Up. Pythagorean Triples. Verifying a Pythagorean Triple... Pythagorean Theorem
Chp. 3_4 Trigonometry.noteook Wrm Up Determine the mesure of the vrile in ech of the following digrms: x + 2 x x 5 x + 3 Pythgoren Theorem  is fundmentl reltionship mongst the sides on RIGHT tringle.
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 information17.3 Find Unknown Side Lengths
? Nme 17.3 Find Unknown Side Lenths ALGEBRA Essentil Question How cn you find the unknown lenth of side in polyon when you know its perimeter? Geometry nd Mesurement 3.7.B MATHEMATICAL PROCESSES 3.1.A,
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 informationRight Triangles and Trigonometry. Right Triangles and Trigonometry
Right Tringles nd Trigonometr hpter Overview nd Pcing PING (ds) Regulr lock sic/ sic/ verge dvnced verge dvnced Geometric Men (pp. ) 0. 0. Find the geometric men etween two numers. Solve prolems involving
More informationRight Triangle Trigonometry
Right Tringle Trigonometry To the ncient Greeks, trigonometry ws the study of right tringles. Trigonometric functions (sine, cosine, tngent, cotngent, secnt, nd cosecnt) cn be defined s right tringle rtios
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 informationINVESTIGATION 2. What s the Angle?
INVESTIGATION 2 Wht s the Angle? In the previous investigtion, you lerned tht when the rigidity property of tringles is comined with the ility to djust the length of side, the opportunities for useful
More information7.4 Special Right Triangles
7.4 Special Right Triangles Goal p Use the relationships among the sides in special right triangles. Your Notes The etended ratio of the side lengths of a 908 triangle is 1:1: Ï 2. THEOREM 7.8: 908
More information6 TRIGONOMETRY TASK 6.1 TASK 6.2. hypotenuse. opposite. adjacent. opposite. hypotenuse 34. adjacent. opposite. a f
1 6 TIGONOMETY TK 6.1 In eh tringle elow, note the ngle given nd stte whether the identified side is in the orret position or not. 1. 4. opposite 41 2. djent 3. 58 63 djent 32 hypotenuse 5. 68 djent 6.
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 information1 Measurement. What you will learn. World s largest cylindrical aquarium. Australian Curriculum Measurement and Geometry Using units of measurement
Austrlin Curriulum Mesurement nd Geometry Using units of mesurement hpter 1 Mesurement Wht you will lern 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 Conversion of units Perimeter Cirumferene Are Are of irle Surfe
More information11.4 Apply the Pythagorean
11.4 Apply the Pythagorean Theorem and its Converse Goal p and its converse. Your Notes VOCABULARY Hypotenuse Legs of a right triangle Pythagorean theorem THE PYTHAGOREAN THEOREM Words If a triangle is
More informationTeeJay Publishers Homework for Level C book Ch 12  Length & Area
Chpter 12 Exerise Perentges 1 Length & Are 1. Would you use ruler, tpe mesure or r odometer to mesure : your tehers height the length of 5 note the length of your edroom d the distne from Glsgow to Crlisle?
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 informationSkills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson.1 Name Date Get Radical or (Be) 2! Radicals and the Pythagorean Theorem Vocabulary Write the term that best completes each statement. 1. An expression that includes
More informationLesson 2 PRACTICE PROBLEMS Using Trigonometry in Any Triangle
Nme: Unit 6 Trigonometri Methods Lesson 2 PRTIE PROLEMS Using Trigonometry in ny Tringle I n utilize the Lw of Sines nd the Lw of osines to solve prolems involving indiret mesurement in nonright tringles.
More informationAssignment. Get Radical or (Be) 2! Radicals and the Pythagorean Theorem. Simplify the radical expression. 45x 3 y 7. 28x x 2 x 2 x 2x 2 7x
Assignment Assignment for Lesson.1 Name Date Get Radical or (Be)! Radicals and the Pythagorean Theorem Simplify the radical expression. 1. 60. 60 4 15 15. 8x 5 4. 8x 5 4 7 x x x x 7x 108 108 6 6 45x y
More informationRecall that the area of a triangle can be found using the sine of one of the angles.
Nme lss Dte 14.1 Lw of Sines Essentil Question: How n you use trigonometri rtios to find side lengts nd ngle mesures of nonrigt tringles? Resoure Loker Explore Use n re Formul to Derive te Lw of Sines
More informationApply the Law of Sines. You solved right triangles. You will solve triangles that have no right angle.
13.5 pply te Lw of Sines TEKS.1,.4, 2.4.; P.3.E efore Now You solved rigt tringles. You will solve tringles tt ve no rigt ngle. Wy? So you n find te distne etween frwy ojets, s in Ex. 44. Key Voulry lw
More informationChapter 31 Pythagoras theorem and trigonometry (2)
HPTR 31 86 3 The lengths of the two shortest sides of rightngled tringle re m nd ( 3) m respetively. The length of the hypotenuse is 15 m. Show tht 2 3 108 Solve the eqution 2 3 108 Write down the lengths
More informationGeometry Proofs: Chapter 7, Sections 7.1/7.2
Pythgoren Theorem: Proof y Rerrngement of re Given: Right tringle with leg lengths nd, nd hypotenuse length. Prove: 2 2 2 = + Proof #1: We re given figures I nd II s ongruent right tringles III with leg
More information77.1 Apply the Pythagorean Theorem
Right Triangles and Trigonometry 77.1 Apply the Pythagorean Theorem 7.2 Use the Converse of the Pythagorean Theorem 7.3 Use Similar Right Triangles 7.4 Special Right Triangles 7.5 Apply the Tangent Ratio
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 informationReproduction. Not for. Mower  Roller Bar WARNING. Installation and Leveling Instructions. Attention Setup Personnel: Model: ,
Mower  Roller Br Instlltion nd Leveling Instructions 4 Model: 9555, 9594 Attention Setup Personnel: 5 4 5 Model: 958, 9595 Model: 9559 Model: 959 The sfety wrnings provided in this guide nd in the trctor's
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 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 informationLesson 5.1 Polygon Sum Conjecture
Lesson 5.1 Polgon Sum onjeture In Eerise 1, find eh lettered ngle mesure. 1.,,, d, e e d 97 26 2. ne eterior ngle of regulr polgon mesures 10. Wht is the mesure of eh interior ngle? How mn sides does the
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 informationMTH 112: Elementary Functions
1/14 MTH 112: Elementry Functions Section 8.1: Lw of Sines Lern out olique tringles. Derive the Lw os Sines. Solve tringles. Solve the miguous cse. 8.1:Lw of Sines. 2/14 Solving olique tringles Solving
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 informationStarter. The Cosine Rule. What the Cosine Rule is and how to apply it to triangles. I can write down the Cosine Rule from memory.
Strter 1) Find the re of the green tringle. 12.8m 2) 2 4 ( + ) x 3 5 3 2 54.8 o 9.7m The Cosine Rule Tody we re lerning... Wht the Cosine Rule is nd how to pply it to tringles. I will know if I hve een
More informationA life not lived for others is not a life worth living. Albert Einstein
life not lived for others is not a life worth living. lbert Einstein Sides adjacent to the right angle are legs Side opposite (across) from the right angle is the hypotenuse. Hypotenuse Leg cute ngles
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 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 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 informationGeometry. Trigonometry of Right Triangles. Slide 2 / 240. Slide 1 / 240. Slide 4 / 240. Slide 3 / 240. Slide 6 / 240.
Slide 1 / 240 New Jersey enter for Tehing nd Lerning Progressive Mthemtis Inititive This mteril is mde freely ville t www.njtl.org nd is intended for the nonommeril use of students nd tehers. These mterils
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 informationLesson 8: Application Technology
The type of ppliction equipment used must suit the type of ppliction. In this module, you ll lern the prts of the most common types of ppliction equipment used by ssistnt pplictors, s well s how to properly
More informationMultiple Meaning Words: Kindergarten to Grade 2 More Teaching Tools at
n prk n prk prk prk re of public lnd, s in city, tht is set side for rest nd enjoyment Let s got for wlk in the prk. re devoted specified purpose My prents compny is locted in business prk. field or stdium
More informationCH 21 THE PYTHAGOREAN THEOREM
121 CH 21 THE PYTHAGOREAN THEOREM The Right Triangle A n angle of 90 is called a right angle, and when two things meet at a right angle, we say they are perpendicular. For example, the angle between a
More informationChapter 7. Right Triangles and Trigonometry
Chapter 7 Right Triangles and Trigonometry 4 16 25 100 144 LEAVE IN RADICAL FORM Perfect Square Factor * Other Factor 8 20 32 = = = 4 *2 = = = 75 = = 40 = = 7.1 Apply the Pythagorean Theorem Objective:
More information81. The Pythagorean Theorem and Its Converse. Vocabulary. Review. Vocabulary Builder. Use Your Vocabulary
81 The Pythagorean Theorem and Its Converse Vocabulary Review 1. Write the square and the positive square root of each number. Number 9 Square Positive Square Root 1 4 1 16 Vocabulary Builder leg (noun)
More informationLesson 21: Special Relationships within Right Triangles Dividing into Two Similar SubTriangles
: Special Relationships within Right Triangles Dividing into Two Similar SubTriangles Learning Targets I can state that the altitude of a right triangle from the vertex of the right angle to the hypotenuse
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 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 informationEasyStart Guide Works with FitnessBoxingOnline.com and other Boxout Video & Mp3 workouts
Box Trg System EyStrt Guide Wks FnessBoxgOnle.com Box Video Mp3 wks igl Auntic Trg System lets wk 3 wys EVEN IF YOU NEVER READ INSTRUCTIONS, JUST READ THIS BIT! If re COMPLETELY NEW TO BOXING OUT OF SHAPE
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 information* LANDING ROLLED CURB SIDEWALK RAMP TYPE R (ROLLED SIDES) * LANDING ** RAMP FULL CURB HEIGHT MAY BE REDUCED TO ACCOMMODATE MAXIMUM SIDE FLARE SLOPE
* MXIMUM LNDING IS 2.0% IN ECH DIRECTION OF TRVEL. LNDING MINIMUM DIMENSIONS 5' x 5'. ** MXIMUM RMP CROSS IS 2.0%, RUNNING 5%  7% (8.3% MXIMUM). "NONWLKING" RE * LNDING 24" CROSS FULL WIDTH PERMNENT
More informationChapter 4 Group of Volunteers
CHAPTER 4 SAFETY CLEARANCE, FREEBOARD AND DRAUGHT MARKS 41 GENERAL 41.1 This chpter specifies the minimum freebord for inlnd wterwy vessels. It lso contins requirements concerning the indiction of the
More information2014 WHEAT PROTEIN RESPONSE TO NITROGEN
2014 WHEAT PROTEIN RESPONSE TO NITROGEN Aron Wlters, Coopertor Ryford Schulze, Coopertor Dniel Hthcot, Extension Progrm Specilist Dr. Clrk Neely, Extension Stte Smll Grins Specilist Ryn Collett, Extension
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 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 informationPhysics 20 Lesson 12 Relative Motion
Physics 20 Lesson 12 Reltie Motion In Lessons 10 nd 11, we lerned how to dd rious dislcement ectors to one nother nd we lerned numer of methods nd techniques for ccomlishin these ector dditions. Now we
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 informationLesson 6.1 Assignment
Lesson 6.1 Assignment Name Date Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem 1. Lamar goes shopping for a new flatpanel television. A television is usually described by
More information9.3 Histograms and Box Plots
Name Class Date 9.3 Histograms and Box Plots Essential Question: How can you interpret and compare data sets using data displays? Explore Understanding Histograms Resource Locker A histogram is a bar graph
More informationPhysics 20 Lesson 11 Relative Motion
Physics 20 Lesson 11 Reltie Motion In Lessons 9 nd 10, we lerned how to dd rious dislcement ectors to one nother nd we lerned numer of methods nd techniques for ccomlishin these ector dditions. Now we
More information58 Applying Special Right Triangles
58 Applying Special Right Triangles Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form. 1. 2. Simplify each
More informationSOCKS Huge congrats to the winners of the SOCKS 1000 Challenge. Continued on Page 3
South Sound Se Hwkers Newsletter Issue 2 Februry 2019 SOCKS 1000 Huge congrts to the winners of the SOCKS 1000 Chllenge. Continued on Pge 3 centrl Council Updtes Denn Roe, South Sound SeHwker, won the
More informationName: Class: Date: Geometry Chapter 4 Test Review
Name: Class: Date: ID: C Geometry Chapter 4 Test Review. 1. Determine the measure of angle UPM in the following figure. Explain your reasoning and show all your work. 3. Determine the side length of each
More informationWhat s the distance that a person would have to walk to get from Holy Cross to where Robbins was arrested?
Page 1 of 6 Try Now: In 2005, the Pythagorean Theorem was a deciding factor in a case before the New York State Court of Appeals. A man named Robbins was convicted of selling drugs within 1000 of a school.
More information1985 BFS CLINICS. BFS ClinicAssembly in Kamloops, British Columbia. Westsyde High School. Bob Bridges is the Football Coach.
1985 BFS CLINICS BFS ClinicAssembly in Kmloops, British Columbi. Westsyde High School. Bob Bridges is the Footbll Coch. BFS Clinicin Rick Anderson detils BFS Nutrition Progrm t Lke Hvsu High School in
More informationCIRCUMFERENCE ~D AREA OF A CIRCLE. remember that the diameter = 2 x radius. , Circumference of a :circle = 11 x diameter DATE: PERIOD: N~ :
CIRCUMFERENCE ~D I AREA OF A CIRCLE, Circumference of a :circle = 11 x diameter remember that the diameter = 2 x radius N~ : DATE: PERIOD: A circle is all points in the same plane that lie at an equal
More information1 8 Practice Perimeter Circumference And Area Answers Form G
1 8 Practice Perimeter Circumference And Area Answers Form G We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer,
More informationSimplifying Radical Expressions and the Distance Formula
1 RD. Simplifying Radical Expressions and the Distance Formula In the previous section, we simplified some radical expressions by replacing radical signs with rational exponents, applying the rules of
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 informationChapter88. Measurement. Contents: A Length B Perimeter C Area D The area of a rectangle E Volume F Capacity G Mass
Chpter88 Mesurement Contents: A Length B Perimeter C Are D The re of rectngle E Volume F Cpcity G Mss 164 MEASUREMENT (Chpter 8) Opening prolem Byron is out to ply gme of soccer on pitch like the one longside.
More informationNick Willis Discipline: Middle distance running Specialist events: 800m and 1500m
Olympic Eduction Discipline: Middle distnce running Specilist events: 800m nd 1500m ws born in Lower Hutt (ner Wellington) in 1983.Running tlent obviously runs in the Willis fmily, s Nick nd his brother
More informationSt Ac Ex Sp TOPICS (Text and Practice Books) 4.1 Triangles and Squares Pythagoras' Theorem  
MEP: Demonstrtion Projet UNIT 4 Trigonometry N: Shpe, Spe nd Mesures e,f St Ex Sp TOPIS (Text nd Prtie ooks) 4.1 Tringles nd Squres    4. Pythgors' Theorem   4.3 Extending Pythgors' Theorem   4.4
More information1. A right triangle has legs of 8 centimeters and 13 centimeters. Solve the triangle completely.
9.7 Warmup 1. A right triangle has legs of 8 centimeters and 13 centimeters. Solve the triangle completely. 2. A right triangle has a leg length of 7 in. and a hypotenuse length of 14 in. Solve the triangle
More informationANATOMY OF A TRIPOD: Friction Lock (column) 8 Boots / Footwear. Friction Lock (Leg)
IMPORTANT DO NOT USE YOUR TRIPOD UNTIL YOU HAVE READ THESE INSTRUCTIONS. NO WARRANTY CLAIM WILL BE ENTERED INTO FOR THE MISUSE OR INCORRECT USE OF THESE PRODUCTS. ANATOMY OF A TRIPOD: We offer the three
More informationMath Practice Use Clear Definitions
Prllel Lines nd Trnsversls How cn you descrie ngles formed y rllel lines nd rnsversls? Trnsverse When n ojec is rnsverse, i is lying or exending cross somehing ACTIVITY: A Proery of Prllel Lines Work wih
More informationDorridge & District Residents Association A Walk From Dorridge to Blythe Valley Nature Reserve
Dorridge & District Residents Assocition A Wlk From Dorridge to Bly Vlley Nture Reserve This is circulr wlk. It is wlk of round 5 miles from centre of Dorridge, though obviously, those nerer Four Ashes
More informationExample: Seven meters is. of a kilometer. 70 kilometers kilometers
ay 1  Working with measurements: (ay 1 has two pages) ll of the problems this week deal with converting values in a measurement system (inches to feet, centimeters to meters) and converting values from
More informationSection 8: Right Triangles
The following Mathematics Florida Standards will be covered in this section: MAFS.912.GCO.2.8 Explain how the criteria for triangle congruence (ASA, SAS, SSS, and HypotenuseLeg) follow from the definition
More informationMath 3 Plane Geometry Review Special Triangles
Name: 1 Date: Math 3 Plane Geometry Review Special Triangles Special right triangles. When using the Pythagorean theorem, we often get answers with square roots or long decimals. There are a few special
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 informationSupplement of Populationspecific responses in physiological rates of Emiliania huxleyi to a broad CO 2 range
Supplement of Biogeosciences, 15, 3691 371, 21 https://doi.org/1.519/bg15369121supplement Author(s) 21. This work is distributed under the Cretive Commons Attribution. License. Supplement of Popultionspecific
More information616. Most students will find that Myriah does the dishes between 8 and 17 of the 30 days, or about 2 to 4 days per week.
Lesson 6.. 65. If the nickel is tossed and the die rolled there are 2 equall likel outcomes. He can make a list of each of the possible outcomes, assign one plaer to each outcome (HJuan, H2Rolf, T6Jordan),
More information* SEE ANCHOR SCHEDULE SHEET 7
"20 MLE PNELMTE W/ WINGNUT 1/2" O.C. "20 X 1/2" MCHINE OLT & NUT 1/2" O.C 04/0/15 JH UPDTE TO 5TH EDITION (2014) FC 8/14/1 Y DTE SPCING ERROR OR MSONRY POWERS CLKIN W/ "20 SIDEWLK OLT 1/2" O.C.
More informationUnit 2. Looking for Pythagoras. Investigation 5: Using the Pythagorean Theorem: Analyzing Triangles and Circles
I can understand and apply the Pythagorean Theorem. Investigation 5 Unit 2 Looking for Pythagoras Investigation 5: Using the Pythagorean Theorem: Analyzing Triangles and Circles Lesson 1: Stopping Sneaky
More informationCCM8 Unit 7: Pythagorean Theorem Vocabulary
CCM8 Unit 7: Pythagorean Theorem Vocabulary Base Exponent Hypotenuse Legs Perfect Square Pythagorean Theorem When a number is raised to a power, the number that is used as a factor The number that indicates
More informationName: Period: Unit 5 Test Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Period: Unit 5 Test Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the measures and. 6.4 2.3 2. Given that bisects and, find. Y Z W 3.
More informationSimilar Right Triangles
MATH 1204 UNIT 5: GEOMETRY AND TRIGONOMETRY Assumed Prior Knowledge Similar Right Triangles Recall that a Right Triangle is a triangle containing one 90 and two acute angles. Right triangles will be similar
More informationUnit 4. Triangle Relationships. Oct 3 8:20 AM. Oct 3 8:21 AM. Oct 3 8:26 AM. Oct 3 8:28 AM. Oct 3 8:27 AM. Oct 3 8:27 AM
Unit 4 Triangle Relationships 4.1  Classifying Triangles triangle a figure formed by three segments joining three noncollinear points Classification of triangles: by sides by angles Oct 3 8:20 AM Oct
More informationChapter 8: Right Triangles (page 284)
hapter 8: Right Triangles (page 284) 81: Similarity in Right Triangles (page 285) If a, b, and x are positive numbers and a : x = x : b, then x is the between a and b. Notice that x is both in the proportion.
More informationNewsletter. ratty. What do you call an alligator in a vest? Welcome to the Summer edition of the Ravenglass and Eskdale Railway Kids Club Newsletter.
Newsletter Welcome to the Summer edition of the Rvenglss nd Eskdle Rilwy Kids Club Newsletter. Summer is coming nd we re ll getting very excited here t the rilwy. It is our fvourite time of yer nd we look
More informationTeeJay Publishers Homework for Level C book Ch 11  Position/Movement. Bill. Bob. Dan. Joy
TeeJy Pulishers Homework for Level C ook Ch  Position/Movement Chpter Perentges Eerise Position & Movement Look t the seting pln for lss A. Bill Bo Mry Jon Fre Tm Jk Teri Dn Ann Jim Sm Alie Joy Slly Hrry
More information