MATHEMATICAL PRACTICES In the Solve It, you used what you know about triangles to find missing lengths. Key Concept Law of Sines

 Sharon Rodgers
 7 months ago
 Views:
Transcription
1 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 ft 68 MTHEMTIL PRTIES In the Solve It, ou used wht ou know out tringles to find missing lengths. Lesson L VoulrV Lw of Sines Essentil Understnding If ou know the mesures of two ngles nd the length of side (S or S), or two side lengths nd the mesure of noninluded otuse ngle (SS), then ou n find ll the other mesures of the tringle. Ke onept Lw of Sines For n, let the lengths of the sides opposite ngles,, nd e,, nd, respetivel. Then the Lw of Sines reltes the sine of eh ngle to the length of the opposite side. sin sin sin Here s Wh It Works Drw the ltitude from to nd lel it h. D nd D re right tringles. sin h nd sin h Definition of sine sin h nd sin h Multiplition Propert of Equlit h D sin sin Trnsitive Propert of Equlit sin sin Division Propert of Equlit 1 ommon ore
2 Prolem 1 Using the Lw of Sines (S) In, m 48, m 93, nd 15. To the nerest tenth, wht is the length of? How will drwing digrm help ou solve the prolem? Drwing digrm will help ou to visulize the prolem. refull drw digrm nd lel it with ll of the given informtion. Drw nd lel. You re given two ngle mesures nd the length of noninluded side (S). Use the Lw of Sines to write n eqution Solve for. Use lultor to find. The length of is out In ove, wht is to the nerest tenth? You n lso use the Lw of Sines to find missing ngle mesures. Prolem 2 Using the Lw of Sines (SS) In RST, RT 11, ST, nd mr 120. To the nerest tenth, wht is ms? Wht unknown ngle should ou use? Use S euse it is opposite known side length. Step 1 Drw nd lel digrm. Step 2 Use the Lw of Sines to set up n eqution. sin 120 Step 3 Find ms. sin S 11 S R T sin S 11 sin 120 Solve for sin S. ms sin 1 11 sin Use the inverse. ms is out In KLM, LM 9, KM 14, nd ml 105. To the nerest tenth, wht is mk? 5 Lw of Sines 2
3 You n ppl the Lw of Sines to relworld prolems involving tringles. Wht other informtion do ou need to know to use the Lw of Sines? You n use the Lw of Sines to find the distnes from the ship to eh lighthouse if ou n find the ngle with the ship s its verte. Prolem 3 Using the Lw of Sines to Solve Prolem ship hs een t se longer thn epeted nd hs onl enough fuel to sfel sil nother 42 miles. Port it Lighthouse nd ove Town Lighthouse re loted 40 miles prt long the ost. t se, the ptin nnot determine distnes oservtion. The tringle formed the lighthouses nd the ship is shown. n the ship sil sfel to either lighthouse? Step 1 Step 2 Find the mesure of the ngle formed Port it, the ruise ship, nd ove Town. The sum of the mesures of the ngles of tringle is 0. Sutrt the given ngle mesures from Use the Lw of Sines to find the distnes from the ship to eh lighthouse. Port it ove Town sin 58 sin 52 sin 58 sin 70 Lw of Sines 40 d 40 d d sin sin 52 Find the ross produts. d sin sin sin 52 d sin 58 Divide eh side sin sin 70 d sin 58 d Use lultor. d The distne from the ship to Port it Lighthouse is out 37.2 miles, nd the distne to ove Town Lighthouse is out 44.3 miles. The ship n sil sfel to Port it Lighthouse ut not to ove Town Lighthouse. 3. The rightfielder fields softll etween first se nd seond se s shown in the figure. If the rightfielder throws the ll to seond se, how fr does she throw the ll? Port it Lighthouse 2nd se 40 mi ove Town Lighthouse ft Rightfielder 40 1st se ship Lesson hek Do ou know HOW? 1. In, 7, 10, nd m 80. To the nerest tenth, wht is m? 2. Wht is? 3. Wht is? G H K Do ou UNDERSTND? MTHEMTIL PRTIES 4. Resoning If ou know the three side lengths of tringle, n ou use the Lw of Sines to find the missing ngle mesures? Eplin. 5. Error nlsis In PQR, PQ 4 m, QR 3 m, nd mr 75. Your friend uses the Lw of Sines to sin 75 write 3 sin P 4 to find mp. Eplin the error. 3 ommon ore
4 Prtie nd ProlemSolving Eerises MTHEMTIL PRTIES Prtie Use the informtion given to solve. See Prolems 1 nd In, m 70, m 62, nd 7.3. To the nerest tenth, wht is? 7. In XYZ, my 80, XY 14, nd XZ 17. To the nerest tenth, wht is mz? Use the Lw of Sines to find the vlues of nd. Round to the nerest tenth. ppl The min sil of silot hs the dimensions shown in the figure t the right. To the nerest tenth of foot, wht is the height of the min sil? 13. portion of it mp is shown in the figure t the right. If ou wlk long Mple Street etween 2nd Street nd Elm Grove Lne, how fr do ou wlk? Round our nswer to the nerest tenth of rd. 14. Nvigtion The ermud Tringle is historill fmous region of the tlnti Oen. The verties of the tringle re formed Mimi, FL; ermud; nd Sn Jun, Puerto Rio. The pproimte dimensions of the ermud Tringle re shown in the figure t the right. Eplin how ou would find the distne from ermud to Mimi. Wht is this distne to the nerest mile? 15. Think out Pln n irplne took off from n irport nd strted fling towrd its destintion 210 miles due est. fter fling 80 miles est, it enountered storm nd ltered its ourse turning left 22. When it ws pst the storm, it turned right 30 nd flew in stright line until it rehed its destintion. How fr ws the plne from its destintion when it mde the 30 turn? Would drwing digrm help ou visulize the prolem sitution? Wht re ou eing sked to find? Wht mesures do ou know? h ft d Elm Grove Lne Mimi nd St See Prolem Sn Jun Mple St 62 ermud 960 mi 5 Lw of Sines 4
5 16. Zipline zipline is onstruted over rvine s shown in the digrm t the right. Wht is the horizontl distne from the ottom of the ldder to the pltform where the zipline ends? Round our nswer to the nerest tenth of foot. 17. If mdeg md mg 43, wht is mefg? E 45 ft pltform 250 ft 60 ft 50 ldder ground 8 in. 8 in. 7.5 in. D F G hllenge. You n use the formul re 1 2 sin to find the re of the tringle shown t the right. Show how this formul eomes the more fmilir formul for the re of tringle if is right tringle nd m 90. Stndrdized Test Prep Refer to the tringle t the right to solve Eerises 19 nd 20. ST/T 19. Find the vlue of to the nerest hundredth of n inh. 20. Wht is the vlue of to the nerest hundredth of n inh? 5 in. 21. In right TRS, mr 90, TR 3, RS 4, nd TS 5. Wht is sin S? Mied Review 22. Indiret Mesurement hotir lloon pilot sights the lnding field from height of 2000 ft. The ngle of depression is 24. To the nerest foot, wht is the ground distne from the hotir lloon to the lnding field? 23. Wht is the vlue of? See Lesson 84. See Lesson Get Red! To Prepre for Lesson 86, do Eerises Evlute eh epression. Round our nswers to the nerest hundredth. 24. os os os os See Lesson ommon ore
Lesson 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 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 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 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 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 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 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 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 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 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 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 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 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 informationUnit 6  Quiz 1. Look at the pictures and write the missing letters. (5x2=10)
Unit 6  Quiz Nme & Surnme :... Stuent ID Numer :... Shool :... Clss :... Dte :... Result :... A Look t the pitures n write the missing letters. (x=0 i _ i _ r _ h g _ v kk _ e _ g B Mth the wors with
More informationHCI Examination Please answer in Swedish or English
HCI Exmintion 02.06.04 8.4512.45 Plese nswer in Swedish or English PLEASE HAND IN FIRST PAGE OF EXAMINATION SHEET (TES) IF YOU ANSWER MULITPLE CHOICE HERE PART I: NECESSARY FOR PASS (GODKÄNT) 1. Multiple
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 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 informationCongruence Axioms. Data Required for Solving Oblique Triangles. 1 of 8 8/6/ THE LAW OF SINES
1 of 8 8/6/2004 8.1 THE LAW OF SINES 8.1 THE LAW OF SINES Congrueny and Olique Triangles Derivation of the Law of Sines Appliations Amiguous Case Area of a Triangle Until now, our work with triangles has
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 informationMORE TRIGONOMETRY
MORE TRIGONOMETRY 5.1.1 5.1.3 We net introduce two more trigonometric ratios: sine and cosine. Both of them are used with acute angles of right triangles, just as the tangent ratio is. Using the diagram
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 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 informationTrigonometry. terminal ray
terminal ray y Trigonometry Trigonometry is the study of triangles the relationship etween their sides and angles. Oddly enough our study of triangles egins with a irle. r 1 θ osθ P(x,y) s rθ sinθ x initial
More informationSecondary 3 Mathematics Chapter 10 Applications of Trigonometry Practice 1 Learning Objectives: To provide an aim for
1 1 1 1 1 1 1 1 1 1 Secondary 3 Mathematics Chapter pplications of Trigonometry Practice 1 Learning Objectives: To provide an aim for students to achieve at the end of each lesson. Understand and solve
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 informationLength, Perimeter and Area
Length, Perimeter n Are Teher Book  Series Mthletis Instnt Workooks Copyright Length, Perimeter n Are  Series Contents Setion Answers (p. ) units of length trvelling fr perimeter re 9 7 5 Setion Assessment
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 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 informationAdd and Subtract Decimals Through Thousandths. How can you record addition and subtraction of decimals through thousandths?
? Name 1.7 dd and Subtract ecimals Through Thousandths Essential Question How can you record addition and subtraction of decimals through thousandths? Number and Operations 5.3.K lso 5.3. MTHEMTIL PROESSES
More informationJEPPESEN 4 SEP DA(H) 212'(200') 087^ PRAIZ 2141' Alt Set: INCHES Trans level: FL ADF required. ILS (IAF) 413' 6.
Licensed to Philip ooper. Printed on Oct 9. Notice: fter 6 Nov 9 9Z, this chart may no longer be valid. isc 9 KFXE/FXE 4 SEP 9 FT LUERLE EXEUTIVE  TIS JeppView 3.6.3. FT LUERLE, FL ILS or LO Rwy 8 MIMI
More informationBASICS OF TRIGONOMETRY
Mathematics Revision Guides Basics of Trigonometry Page 1 of 9 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier BASICS OF TRIGONOMETRY Version: 1. Date: 0910015 Mathematics Revision
More informationCoroutines in Propeller Assembly Language
www.prllxsemiondutor.om sles@prllxsemiondutor.om support@prllxsemiondutor.om phone: 916 632 4664 fx:916 624 8003 pplition Note oroutines in Propeller ssemly Lnguge strt: The multiore P8X32 does not require
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 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 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 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 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 informationPut in simplest radical form. (No decimals)
Put in simplest radical form. (No decimals) 1. 2. 3. 4. 5. 6. 5 7. 4 8. 6 9. 5 10. 9 11. 3 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 3 28. 1 Geometry Chapter 8  Right Triangles
More information6.3 Using Slope LESSON EXPLORE ACTIVITY 1. rate of change =
v? LESSON 6.3 Using Slope ESSENTIL QUESTION Calculate and interpret the average rate of change of a function (presented smbolicall or as a table) over a specified interval. Estimate the rate of change
More informationUnit 4: Projectiles ( Angled Projectiles )
Unit 4: Projectiles ( Angled Projectiles ) When dealing with a projectile that is not launched/thrown perfectly horizontal, you must start by realizing that the initial velocity has two components: an
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 information8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle
Chapter 8 Applications of Trigonometry 81 8.1 The Law of Sines Congruency and Oblique Triangles Using the Law of Sines The Ambiguous Case Area of a Triangle A triangle that is not a right triangle is
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 informationUnit 3 Trigonometry. 3.1 Use Trigonometry to Find Lengths
Topic : Goal : Unit 3 Trigonometry trigonometry I can use the primary trig ratios to find the lengths of sides in a right triangle 3.1 Use Trigonometry to Find Lengths In any right triangle, we name the
More informationGeneral Information. Runway Information. Communication Information
irport Information For MMP Printed on 11 pr 2018 Page 1 (c) SNERSON, IN., 2018, LL RIGHTS RESERVE p= je General Information Location: POZ RI MEX IO/IT: MMP / Lat/Long: N20 36.1', W097 27.6' Elevation:
More informationEFFECTIVE STRESS CONCEPT NO SEEPAGE
4.330 SOIL MENIS EFFETIVE STRESS ONEPT NO SEEPGE Total Stress ( at Point ( sat Satrated Soil olmn (Figre 6.. Das FGE (005 from Water from Soil Were: = Unit Weigt of Water sat = Satrated Unit Weigt of Soil
More informationFunctions  Trigonometry
10. Functions  Trigonometry There are si special functions that describe the relationship between the sides of a right triangle and the angles of the triangle. We will discuss three of the functions here.
More informationRULES OF INDOOR HOCKEY
RULES OF INDOOR HOCKEY 20072008 Rules of Indoor Hokey inluding explntions Effetive from 1 Jnury 2007 for the yers 2007 nd 2008 Copyright FIH 2006 The Interntionl Hokey Federtion Rue du Vlentin 61 CH
More informationAPPENDIX C SANITARY SEWER PEAK DESIGN FACTOR
PPENDIX C SNITRY SEWER PEK DESIGN FCTOR ll gravity sewers will be designed to accommodate the peak flow from the contributing drainage area. The peak flow will be computed using the appropriate peaking
More informationRelations & Functions Practice Test
Relations & Functions Practice Test 1. Consider the relation represented b this graph. Represent the relation as a set of ordered pairs. Distance (km) 11 1 9 8 7 6 5 3 1 Distances Jogged in a Da Josh Koko
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 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 informationAT200 INSTALLATION MANUAL
ENGLISH AT200 INSTALLATION MANUAL D29020CS416XXX  SEAT & BOWL COMBINATIONCWH D23020CS11SXXX  BOWLCWH D28000AS416XXX  SEAT / BODY UNITCWH Cnvs White (415) Tle of Contents 1. Oserve Listed Preutions
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 informationSection 4.2 Objectives
Section 4. Objectives Determine whether the slope of a graphed line is positive, negative, 0, or undefined. Determine the slope of a line given its graph. Calculate the slope of a line given the ordered
More informationRELIEF VALVES. Type VS FL. Process Management TM
RELIEF VLVES Type VS FL Process Management TM Relief Valves This series of axial flow relief valves was designed to meet a wide range of applications. Large appreciation from worldwide customers is a
More informationDIVING FACILITIES CERTIFICATE FOR OLYMPIC GAMES AND WORLD CHAMPIONSHIPS JANUARY 2017
DIVING ILITIES ERTIITE OR OLYMPI GMES ND WORLD MPIONSIPS JNURY 2017 NTIONL OWNER ONTRTOR DESIGN TEM IN BUILDING DRWING  KEY PLN DIVING ILITY DRWINGS  1/500 Longitudinal Section 1/500 ross Section 1/500
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 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 informationWrite the definition of each term in your own words. Then make a sketch to describe each term visually.
ssignment ssignment for Lesson.1 Name Date s the Crow Flies Properties of Spheres Write the definition of each term in your own words. Then make a sketch to describe each term visually. 1. distance as
More informationL E G E N D MAP 1 V 1. 1st Crank 7:02 AM Last Crank 7:04 AM 1st Runner 7:05 AM Last Runner 7:15 AM. Marathon & Half Marathon course.
MP 1 LOSED TO TRFFI T TOURNEY RD RUNNERS ROSSING EXPET DELYS 7:00 M  7:30 M MDONLD S 5K course Mayor s Walk course Water REMOVE ONES FTER RUNNERS LER *RUNNER INEM GRGE Runners park on top floors REEKSIDE
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 informationEVERYDAY EXAMPLES OF ENGINEERING CONCEPTS
EVERYDAY EXAMPLES OF ENGINEERING ONEPTS F5: Momentum opright 014 This work is licensed under the reative ommons AttributionNonommercialNoDerivs 3.0 Unported License. To view a cop of this license, visit
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 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 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 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 informationNIC Nano 0.85 CTOBalloons For your most challenging cases
Whtever we lim to hve only your own experiene with our prouts will onvine you. NIC Nno 0.85 CTOBlloons For your most hllenging ses High rte urst pressure: 23 tm (r) Low omplint: 0.85 mm t nominl pressure
More informationTutorial 5 Relative equilibrium
Tutorial 5 Relative equilibrium 1. n open rectangular tank 3m long and 2m wide is filled with water to a depth of 1.5m. Find the slope of the water surface when the tank moves with an acceleration of 5m/s
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 informationUSA Field Hockey s Modifications to the 2017 FIH Rules of Indoor Hockey
USA Field Hokey hs estlished tht the Interntionl Hokey Federtion (FIH) will e the ultimte uthority for rules governing the sport of indoor hokey in the United Sttes. This rule ook is reprinted under the
More informationSamba. Brief History. Characteristics and Technique. Timing
Smb Brief History Smb is dnce nd musicl genre originting in Brzil, with roots from Afric vi the West Africn slve trde nd Africn religious trditions, prticulrly Angol nd the Congo. Introduced in 97, the
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 informationPRACTICE EXERCISES. English METAPR Student Name:
PRTIE EXERISES METPR 2017 English Grade 3 Student Name: Todos los derechos de reproducción y divulgación están reservados por el Departamento de Educación de Puerto Rico, 2017. Esta página se dejó en
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 informationAERODROME CHART MINSK MAZOWIECKI (EPMM) PANSOPS AERODROME CHART MINSK MAZOWIECKI (EPMM) ELEV ' 21 39' 5 E (2010) 52 12' 52 12'
27 PNSOPS ERODROME CHRT 21 38' 21 39' 21 40' 21 41' 52 12' 52 12' LOC 111.3 09 PRON D E PRON B 8202 x 262 D F PRON F C GP/DME 332.2/CH50X TWR IS PRON B PRON C G PRON E 52 11' 52 11' CHNGE: NEW PCN 21
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 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 informationTANGENT THE SLOPE RATIO (TRIGONOMETRY)
NGEN E SLOPE RIO (RIGONOMERY) 4.1.1 4.1.5 In the first section of Chapter 4, students consider different slope triangles for a given line or segment and notice that for each line, the slope remains constant
More informationCHANGES IN FORCE AND MOTION
reflect CRACK! That s the sound of a bat hitting a baseball. The ball fl ies through the air and lands over the fence for a home run. The motion of a batted ball seems simple enough. Yet, many forces act
More informationGas Tank Gasket Kit & 22
Manufactured 4/86 to Present 169kV/40k G SETION ONTENTS Gas Tank Gasket Kit.... 21 & 22 esiccant Kit..... 23 Interrupter Repair Kit...... 24 Rotating Seal Kit...... 25 Pilot/harging Valve Kit... 26 ashpot
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 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 informationDIE DESIGN AND CONSTRUCTION SPECIFICATIONS STAMPING  EUROPE MINIMUM CORE HOLE SIZE TO PULL PUNCHES WITH WINDOWS
MINIMUM CORE HOLE SIZE TO PULL PUNCHES WITH WINDOWS THE MINIMUM DIMENSIONS FOR THE HOLE IN THE PD REQUIRED TO INSERT THE PUNCHPULLER ND THE BLLLIFTER RE GIVEN IN THE TBLE BELOW. C CORE HOLE ØB MIN. SECTION
More informationMath 081 Worksheet Section 8.4 v01 Spring 2011 Dressler. Name. 6) 12 dm. Find the area of the geometric figure. 1) 5 m. Rectangle. 25.
Math 081 Worksheet Section 8.4 v01 Spring 2011 Dressler Name 6) 12 dm Find the area of the geometric figure. 1) 5 dm Rectangle 5 m ) 6.8 m 12 units 25.5 units 2) 22.5 units Rectangle 3 m 8).9 m 20 yd 52
More informationThe Effect of Sand Grain Size in the Aeolian Transport Processes of Transgressives Dunefields of the Coast of the Santa Catarina State Brazil
Journl of Costl Reserch SI 39 102106 ICS 2004 (Proceedings) Brzil ISSN 07490208 The Effect of Snd Grin Size in the Aeolin Trnsport Processes of Trnsgressives Dunefields of the Cost of the Snt Ctrin Stte
More informationPTS 340 S W
Notice: fter /1/23 91Z this chart should not be used without first checking JeppView or NOTMs. TRNS LEVEL: Y T TRNS LT: 2' 17 SEP 99 These SIs requires the following takeoff minimums: eiling ', Visibility
More informationAre We There Yet? IPv6 as Related to GDP per Capita. By Alain Durand November 28 th,` 2016
Are We There Yet? as Related to By Alain Durand November 28 th,` 2016 Quesons for this Study: I. Where are we across the globe with adoption? a. Is deployed uniformly? b. Is there a rich country/poor country
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 informationBBC 285 S W
27 021^ Licensed to TP  IR PORTUGL,. Printed from JeppView disc 09. TRNS LEVEL: Y T TRNS LT: 6000' Gnd speedkts 3.3% V/V (fpm) ana Int Iril Int Repet Int 103.Eff.26.ec. JUIZ E FOR, RZIL FRNISO E SSIS
More informationAN Wireless Tower Assembly Instructions
N Wireless Tower ssembly Instructions RED THOROUGHLY EFORE SSEMLY ND ERETION Thank you for your purchase of an N Wireless Self Supporting Tower. N Wireless Towers are designed and fabricated to be highstrength,
More informationIFP C175* REMOTE CONTROL RELIEF VALVE
IFP C175* REMOTE CONTROL RELIEF VLVE Low Pressure Differential Quiet Operation Easy to djust Handle Three Pressure Ranges vailable Panel Mount Design P T Model Pressure Range (PSI) Rated Flow (US GPM)
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 informationDiscussion Session 3 2D Relative Motion Week 04
PHYS 100 Discussion Session 3 2D Relative Motion Week 04 The Plan This week is about two main ideas, practicing vector addition and understanding relative motion. You ll accomplish both by looking at two
More informationSNT FUN LPPS/PXO PORTO SANTO, MADEIRA IS PORTO SANTO, MADEIRA IS LPPS/PXO MADAT 3B MADAT 3C RWY 36 RWY 18 ARRIVALS .RADAR.MINIMUM.ALTITUDES.
6. 8 7 R R MX FL40 pt Elev 3430 3400 3330 STO TN 0R lt Set: hpa Trans level: y T 8000 6000 2000 ONTOUR INTERVLS 30 MR 07 SNT MRI OENI T ()/LPPO FIR (G) 700 60 40 20, MEIR IS.RR.MINIMUM.LTITUES., MEIR
More informationGrade: 8. Author(s): Hope Phillips
Title: Tying Knots: An Introductory Activity for Writing Equations in SlopeIntercept Form Prior Knowledge Needed: Grade: 8 Author(s): Hope Phillips BIG Idea: Linear Equations how to analyze data from
More informationPlace Value
Place Value Finding the of a decimal: Step 1: Find the in the decimal. The is what separates the whole numbers from the decimal numbers. The whole numbers are the digits to the left of the. The decimal
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 informationPrestomatic Air Brake PushIn Fittings
Ctog 3501E Prestomtic Air rke PushIn Fittings Mteris of Construction Fitting odies: Coet: Tube support: Oring: rss rss Stiness Stee un omencture Exmpe: 68pmt64 Attribute: 68 Me Connector pmt Air rke
More informationLearning Objectives Source/Example Questions
Grade and Strand Learning Objectives Source/Example Questions.ca Ascent Education: http://questions.ascenteducatio n.com.ca A tree 66 meters high casts a 44meter shadow. Find the angle of elevation of
More information