7.2 Assess Your Understanding

 Diana Greene
 2 months ago
 Views:
Transcription
1 538 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 formul for sine is sin1  =. 3. If u is n ute ngle, solve the eqution sin u =. (p. 476). If u is n ute ngle, solve the eqution os u = 3 (pp ). (pp ) onepts nd Voulry 4. If none of the ngles of tringle is right ngle, the tringle is lled. 5. For tringle with sides,, nd opposite ngles,, g, the Lw of Sines sttes tht. 6. True or Flse: n olique tringle in whih two sides nd n ngle re given lwys results in t lest one tringle. 7. True or Flse: The sum of the ngles of ny tringle equls True or Flse: The miguous se refers to the ft tht, when two sides nd the ngle opposite one of them re given, sometimes the Lw of Sines nnot e used.
2 SETION 7. The Lw of Sines 539 Skill uilding In Prolems 9 16, solve eh tringle In Prolems 17 4, solve eh tringle. 17. = 40, = 0, = 18. = 50, g = 0, = = 70, g = 10, = 5 0. = 70, = 60, = 4 1. = 110, g = 30, = 3. = 10, g = 100, = 3. = 40, = 40, = 4. = 0, g = 70, = 1 In Prolems 5 36, two sides nd n ngle re given. Determine whether the given informtion results in one tringle, two tringles, or no tringle t ll. Solve ny tringle(s) tht results. 5. = 3, =, = = 4, = 3, = = 5, = 3, = =, = 1, = = 4, = 5, = =, = 3, = = 4, = 6, = 0 3. = 3, = 7, = = 4, = 5, = =, = 1, g = =, = 1, g = 100 = 4, = 5, = 40 pplitions nd Extensions 37. Resue t Se ost Gurd Sttion le is loted 150 miles due south of Sttion ker. ship t se sends n SOS ll tht is reeived y eh sttion. The ll to Sttion le indites tht the ship is loted N55 E; the ll to Sttion ker indites tht the ship is loted S60 E. () How fr is eh sttion from the ship? () If heliopter ple of flying 00 miles per hour is dispthed from the sttion nerest to the ship, how long will it tke to reh the ship? 38. Surveying onsult the figure. To find the distne from the house t to the house t, surveyor mesures the ngle to e 40 nd then wlks off distne of 100 feet to nd mesures the ngle to e 50. Wht is the distne from to? 150 mi ker 60 W N S E le 55
3 540 HPTER 7 pplitions of Trigonometri Funtions 39. Finding the Length of Ski Lift onsult the figure.to find the length of the spn of proposed ski lift from to, surveyor mesures the ngle D to e 5 nd then wlks off distne of 1000 feet to nd mesures the ngle to e 15. Wht is the distne from to? 43. Nvigtion n irplne flies from ity to ity, distne of 150 miles, nd then turns through n ngle of 40 nd heds towrd ity, s shown in the figure. 300 mi mi D 40. Finding the Height of Mountin Use the illustrtion in Prolem 39 to find the height D of the mountin t. 41. Finding the Height of n irplne n irrft is spotted y two oservers who re 1000 feet prt. s the irplne psses over the line joining them, eh oserver tkes sighting of the ngle of elevtion to the plne, s indited in the figure. How high is the irplne? ft () If the distne etween ities nd is 300 miles, how fr is it from ity to ity? () Through wht ngle should the pilot turn t ity to return to ity? 44. Time Lost due to Nvigtion Error In ttempting to fly from ity to ity, n irrft followed ourse tht ws 10 in error, s indited in the figure.fter flying distne of 50 miles, the pilot orreted the ourse y turning t point nd flying 70 miles frther. If the onstnt speed of the irrft ws 50 miles per hour, how muh time ws lost due to the error? ft mi mi 4. Finding the Height of the ridge over the Royl Gorge The highest ridge in the world is the ridge over the Royl Gorge of the rknss River in olordo. Sightings to the sme point t wter level diretly under the ridge re tken from eh side of the 880footlong ridge, s indited in the figure. How high is the ridge? SOURE: Guinness ook of World Reords. 45. Finding the Len of the Lening Tower of Pis The fmous Lening Tower of Pis ws originlly feet high. * t distne of 13 feet from the se of the tower, the ngle of elevtion to the top of the tower is found to e 60. Find the ngle indited in the figure. lso, find the perpendiulr distne from to. 880 ft h ft ft * In their 1986 report on the frgile sevenenturyold ell tower, sientists in Pis, Itly, sid tht the Lening Tower of Pis hd inresed its fmous len y 1 millimeter, or 0.04 inh. This is out the nnul verge, lthough the tilting hd slowed to out hlf tht muh in the previous yers. (Soure: United Press Interntionl, June 9, 1986.) PIS, ITLY. Septemer 1995.The Lening Tower of Pis hs suddenly shifted, jeoprdizing yers of preservtion work to stilize it, Itlin newsppers sid Sundy.The tower, uilt on shifting susoil etween 1174 nd 1350 s elfry for the nery thedrl, reently moved 0.07 inh in one night. Updte The tower, whih hd een losed to tourists sine 1990, ws reopened in Deemer, 001, fter reinforement of its se.
4 SETION 7. The Lw of Sines rnkshfts on rs On ertin utomoile, the rnkshft is 3 inhes long nd the onneting rod is 9 inhes long (see the figure).t the time when the ngle OP is 15, how fr is the piston (P) from the enter (O) of the rnkshft? 3 in. O 15 P 47. onstruting Highwy U.S. 41, highwy whose primry diretions re north south, is eing onstruted long the west ost of Florid. Ner Nples, y ostruts the stright pth of the rod. Sine the ost of ridge is prohiitive, engineers deide to go round the y. The illustrtion shows the pth tht they deide on nd the mesurements tken. Wht is the length of highwy needed to go round the y? Oen mi Pelin y in. lm y 1 8 mi 1 8 mi Highwy U.S lulting Distnes t Se The nvigtor of ship t se spots two lighthouses tht she knows to e 3 miles prt long stright seshore. She determines tht the ngles formed etween two lineofsight oservtions of the lighthouses nd the line from the ship diretly to shore re 15 nd 35. See the illustrtion. () How fr is the ship from lighthouse? () How fr is the ship from lighthouse? () How fr is the ship from shore? 49. Designing n wning n wning tht overs sliding glss door tht is 88 inhes tll forms n ngle of 50 with the wll. The purpose of the wning is to prevent sunlight from entering the house when the ngle of elevtion of the sun is more thn 65. See the figure. Find the length L of the wning. 50. Finding Distnes forest rnger is wlking on pth inlined t 5 to the horizontl diretly towrd 100foottll fire oservtion tower. The ngle of elevtion from the pth to the top of the tower is 40. How fr is the rnger from the tower t this time? 51. Gret Pyrmid of heops One of the originl Seven Wonders of the World, the Gret Pyrmid of heops ws uilt out 580. Its originl height ws 480 feet 11 inhes, ut due to the loss of its topmost stones, it is now shorter. Find the urrent height of the Gret Pyrmid, using the informtion given in the illustrtion. SOURE: Guinness ook of World Reords L 65 pth horizontl 40 5 Step 3 mi Oen 00 ft 5. Determining the Height of n irrft Two sensors re sped 700 feet prt long the pproh to smll irport. When n irrft is nering the irport, the ngle of elevtion from the first sensor to the irrft is 0, nd from the seond sensor to the irrft it is 15. Determine how high the irrft is t this time.
5 54 HPTER 7 pplitions of Trigonometri Funtions 53. Merury The distne from the Sun to Erth is pproximtely 149,600,000 kilometers (km). The distne from the Sun to Merury is pproximtely 57,910,000 km. The elongtion ngle is the ngle formed etween the line of sight from Erth to the Sun nd the line of sight from Erth to Merury. See the figure. Suppose tht the elongtion ngle for Merury is 15. Use this informtion to find the possile distnes etween Erth nd Merury. Erth Merury Merury 54. Venus The distne from the Sun to Erth is pproximtely 149,600,000 km.the distne from the Sun to Venus is pproximtely 108,00,000 km. The elongtion ngle is the ngle formed etween the line of sight from Erth to the Sun nd the line of sight from Erth to Venus. Suppose tht the elongtion ngle for Venus is 10. Use this informtion to find the possile distnes etween Erth nd Venus. 55. Lndsping Pt needs to determine the height of tree efore utting it down to e sure tht it will not fll on nery fene. The ngle of elevtion of the tree from one position on flt pth from the tree is 30, nd from seond position 40 feet frther long this pth it is 0. Wht is the height of the tree? 56. onstrution loding rmp 10 feet long tht mkes n ngle of 18 with the horizontl is to e repled y one tht mkes n ngle of 1 with the horizontl. How long is the new rmp? 57. Finding the Height of Heliopter Two oservers simultneously mesure the ngle of elevtion of heliopter. One ngle is mesured s 5, the other s 40 (see the figure). If the oservers re 100 feet prt nd the heliopter lies over the line joining them, how high is the heliopter? Sun Derive it. [Hint: Use the Lw of Sines nd then SumtoProdut Formul. Notie tht this formul involves ll six prts of tringle. s result, it is sometimes used to hek the solution of tringle.] 59. Mollweide s Formul nother form of Mollweide s Formul is Derive it For ny tringle, derive the formul [Hint: Use the ft tht sin = sin g. ] 61. Lw of Tngents For ny tringle, derive the Lw of Tngents. [Hint: Use Mollweide s Formul.] 6. irumsriing Tringle Show tht sin where r is the rdius of the irle irumsriing the tringle whose sides re,, nd, s shown in the figure. = = = sin [Hint: Drw the dimeter. Then = ngle = ngle, nd ngle =90. ] os d sin 1 g sin d os 1 g = os g + os tn d  + = tn d = sin g = 1 r Mollweide s Formul For ny tringle, Mollweide s Formul (nmed fter Krl Mollweide, ) sttes tht 40 Disussion nd Writing 63. Mke up three prolems involving olique tringles. One should result in one tringle, the seond in two tringles, nd the third in no tringle. 64. Wht do you do first if you re sked to solve tringle nd re given one side nd two ngles? 65. Wht do you do first if you re sked to solve tringle nd re given two sides nd the ngle opposite one of them? re You Prepred? nswers 1. sin os  os sin No solution
MATHEMATICAL 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 informationFino Installation Instructions
Fino nstlltion nstrutions #1500154 Rev C Fino nstlltion nstrutions A Light Fixture Trnsformer Qty: 0 or 1 1 C Prts Rotting Mgneti Mounts Qty: 3 or 6 2 D Fixe Mgneti Mounts Qty: 4 or 8 2 E Rotting Woo
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 informationby Craig Cassils CD orchestrated by Dominik Hauser Performed by Pembina Trails Voices directed by Ruth Wiwchar
Songs of ee y CD orhestrted y Dominik Huser erformed y emin Trils Voies direted y Ruth Wihr CD Title ge 12 I Love This Country 2 34 Build Bridge 76 Hold on to Hope 12 78 In lers ields 1810 One World
More informationdolphins National Aquarium building protected ocean home for retired Their Own Space ln The Ocean
National quarium building proteted oean home for retired dolphins y ssoiated Press, adapted by Newsela staff 06.22.16 MlMl, Fla. Eight dolphins will soon be retired from the National  quarium in altimore,
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 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 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 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 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 informationPCT MINIMUM DOCUMENTATION
Ref.: PCT inimum Documenttion pge: 4.1.1 PCT INIU TION INVENTY S CCDING TO PCT RULE 34.1 (PERIOD FRO 1920 TO 1996) Explntory Notes 1. On the following pges is given the inventory of ptent documents, covering
More informationHERMETIC COMPRESSOR ACCESSORIES
ROTOSEL STRIGHT MLE DPTORS PRT NUMER SIGNIFINE 99 M 66 28 22 SERVIE PRT SERVIE I.D. # 28/16 = 13/4 @ 22/16 = 13/8 @ MLE DPTOR SWET P36 NOTE: Items this page limited to stock available then N.L.. P/N
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 informationRHIZOCTONIA ON SUGARBEET FOLLOWING ROTATION CROPS. Carol E. Windels and Jason R. Brantner
RHIZOCTONIA ON SUGARBEET FOLLOWING ROTATION CROPS Crol E. Windels nd Json R. Brntner Professor nd Reserh Fellow, respetively University of Minnesot, Northwest Reserh nd Outreh Center, Crookston Rhizotoni
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 informationComparison of Uniconazole Products on Greenhouse Crops
A Report Sumitted to Fine Americs, Inc. Comprison of Uniconzole Products on Greenhouse Crops Spring 2006 Mtthew Blnchrd, Roerto Lopez, Mike Olrich, nd Erik Runkle Michign Stte University OBJECTIVE The
More informationLesson 30, page 1 of 9. Glencoe Geometry Chapter 8.3. Trigonometric Ratios
Lesson 30 Lesson 30, page 1 of 9 Glencoe Geometry Chapter 8.3 Trigonometric Ratios Today we look at three special ratios of right triangles. The word Trigonometry is derived from two Greek words meaning
More informationBEACH KORFBALL RULES DRAFT RULES NOVEMBER
BEACH KORFBALL RULES DRAFT RULES NOVEMBER 2013 BEACH KORFBALL PLAYING RULES INTRODUCTION Beah korfall is an attrative, highly strenuous and ompetitive korfall variant, espeially when played 33 at the
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 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 informationCarcass Gain, Efficiency, and Profitability of Steers at Extended Days on Feed
Crss Gin, Effiieny, n Profitility of Steers t Extene Dys on Fee Roert G. Bonurnt, Jim C. MDonl, Glen E. Erikson, Kte Brooks, Rik N. Funston, n Kelly Bruns Summry Steers were iniviully fe for 22 n 44 ys
More informationComparison of the Nitrification Efficiencies of Three Biofilter Media in a Freshwater System
Originl Artile Fish Aqut Si 4(4), 363369, 2 Comprison of the Nitrifition Effiienies of Three Biofilter Medi in Freshwter System Diky Hrwnto,2, SungYong Oh 3 nd JeYoon Jo,4 * Deprtment of Fisheries Biology,
More informationPENTAIR/PAC FAB HIFLOW, 2" PENTAIR/PAC FAB 2" PVC SLIDE VALVE
PENTIR/PC F HIFLOW, " MODELS 0, 00, E0 COMPLETE HI FLOW VLVE, 0 NO PLUMING 0 COMPLETE VLVE W/ PLUMING 00 SND FILTER VERSION 00 COMPLETE VLVE W/ PLUMING DE 0 HNDLE, VLVE 00 SCREW, HNDLE S.S 00 WSHER,
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 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 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 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 informationOuter diameter { 153} { 306} { 510} {1020} {2039} {3059} Specification table.
GS SPRINGS GUIDE Gas spring selection GSZ Page P.113 Features Featuring high allowale eccentricity of 1 and high speed Delivery Specification tale Outer diameter Stroke S (mm) D (mm) 1 15 2 25 32 38
More informationOwner s Manual For TAC Series Planetary Gear Air Winches ORIGINAL TEXT
Red this Owner s Mnul thoroughly efore operting the equipment. Keep it with the equipment t ll times. Replcements re ville from Thern, Inc., PO Box 347, Winon, MN 55987, 5074542996. www.thern.com IMPORTANT:
More informationMAGRUDER ROAD CORRIDOR
United Sttes Deprtment of Agriculture Forest Service NEZ PERCE AND BITTERROOT FORESTS MAGRUDER ROAD CORRIDOR Vist t Dry Sddle A guide to the historic Mgruder Rod 222 14 South Fork Dixie 95 95 12 Elk City
More informationAn Angel Came From Heaven. (from Stories And Songs Of Jesus) heav la ba ba. en, dy, by, by, heav la ba ba. from a a a. en dy by by
2 Keybord VERSES: An And Descnt Melody n cme sid, M gel You ll An Angel Cme From ven (from Sries And Songs Of sus) INTRO: Moder n cme sid, M gel You ll cme see hve hd cme see hve hd from ( = c. 108) from
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 informationTOOLBANK USA, INC Form 990 (2014) Page 2
Form 99 (1) Pge Prt TOOLBANK USA, NC. 9879 Sttement of Progrm Servie Aomplishments Chek if Shedule O ontins response or note to ny line in this Prt m m m m m m m m m m m m m m m m m m m m m m m m 1 Briefly
More informationMBF3C: Mathematics of Personal Finance. Angle of elevation (inclination) is the angle made between the and the line of sight to an object.
Angle of elevation (inclination) is the angle made between the and the line of sight to an object. Angle of depression is the angle made between the and the line of sight to an object. Example 1: A wheelchair
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 information1. Attach beams to different parts of the playset.
MORE WAYS + Prt No.: To uild different setups: Plese keep these instrutions for future referene s they ontin importnt informtion. Atth ems to different prts of the plyset. A A # olors: Pper Stok: Pper
More informationGRAIN PROCESSING AND BYPRODUCT INTERACTIONS AN INDUSTRY PERSPECTIVE
GRAIN PROCESSING AND BYPRODUCT INTERACTIONS AN INDUSTRY PERSPECTIVE Roert J. Cooper Cttlemen s Nutrition Servies, LLC Linoln, NE rooper@ttleservies.om INTRODUCTION The vilility of orn milling yprouts hs
More informationUC Agriculture & Natural Resources California Agriculture
UC Agriulture & Nturl Resoures Cliforni Agriulture Title High temperture ffets olive fruit fly popultions in Cliforni s Centrl Vlley Permlink https://esholrship.org/u/item/79k8f3z Journl Cliforni Agriulture,
More informationTABLE OF CONTENTS. Dear General Managers:
Der Generl Mngers: We re exite to revel your new pprel olletion with Cints! We know you will e resse well with ll of these fulous new looks. This progrm ws esigne with retil eye. By offering ssoites fresh
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 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 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 informationPlanar Projectile Motion OBJECTIVES
OBJECTIVES Students should e ale to: 1 Calulate the horizontal and vertial omponents of a veloity vetor given the initial vetor. 2 Define givens as eing either horizontal or vertial. 3 Plae appropriate
More informationAcoustic measurements of bubbles in the wake of ship model in tank
Acoustic mesurements of bubbles in the wke of ship model in tnk A. Sutin,b, A. Benilov, H.S. Roh nd Y.I. Nh c Stevens Institute of Technology, Cstle Point on Hudson, Hoboken, NJ 07030, USA b Artnn Lbortories,
More informationSports Projects. Serving National Pride and Commerce
8 Sports Projets Serving Ntionl Pride nd Commere Sports filities fulfill roles tht extend beyond the merely utilitrin. The projets fetured in this hpter provide two divergent exmples of these roles. On
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 informationHistorical trend of hourly extreme rainfall in Peninsular Malaysia
Theor Appl Climtol (2015) 120:259 285 DOI 10.1007/s0070401411458 ORIGINAL PAPER Historil tren of hourly extreme rinfll in Peninsulr Mlysi A. H. Syfrin & M. D. Zlin & L. Juneng Reeive: 9 My 2013 /Aepte:
More informationMARUTI SUZUKI AUTOCROSS CHAMPIONSHIP 2017 SUPPLEMENTARY REGULATIONS SUBMITTED TO FMSCI FOR APPROVAL
MARUTI SUZUKI AUTOCROSS CHAMPIONSHIP 2017 SUPPLEMENTARY REGULATIONS SUBMITTED TO FMSCI FOR APPROVAL (Ntionl Sports Federtion reognized y the Government of Indi) Mruti Suzuki Autoross Chmpionship INDEX
More informationPinpoint GPS 908M
FCC nd IC Complince Sttement PINPOINT KEY FOB, FCC ID MVU10148 ACMA: N2523 IC: 6094A 09291, 6094A 09305 This device complies with prt 15 of the FCC Rules. Opertion is suject to the following two conditions:
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 informationEMBASSY SWIMMING POOL & FITNESS SUITE Fitness Programme June  September 2017
EMBASSY POOL & FITNESS SUITE Fitness Progrmme June  September 2017 7m Sturdy dy dy sdy nesdy sdy dy 7m  using the benefits of wter resistnce for low impct crdio nd muscle toning workout tht cn suit wide
More informationCash Valve CRYOGENIC CONTROLS. ISSUED  FEBRUARY 2000 CAVMC0514US0208 ISO 9001 Certified
ash Valve RYOGENI ONTROLS ISSUED  FERURY 2000 VM0514US0208 ISO 9001 ertified RYOGENI ONTROLS WORD OUT RYOGENIS... ryogenics the science of materials at extremely low temperatures has become more and
More informationProduced by Alfred Music P.O. Box Van Nuys, CA alfred.com. Printed in USA. ISBN10: ISBN13:
1 Produced by lfred Music P.O. ox 13 Vn Nuys, C 113 lfred.com Printed in US. No prt of this book shll be reproduced, rrnged, dpted, recorded, publicly performed, stored in retrievl system, or trnsmitted
More informationRRS 2009'12: New Section C
RRS 2009'12: New Section C Prepared by ISF RRC Section C Working Party November 2008 Purpose of this Presentation To present new Section C as you would to an average sailor To highlight some particular
More informationFerskvannsavlusing smallscale tests: Shortterm exposure tests to elucidate handling effects.
Ferskvnnsvlusing smllscle tests: Shortterm exposure tests to elucidte hndling effects. The use of freshwter to control infesttions of the se louse Lepeophtheirus slmonis K on Atlntic slmon Slmo slr L.
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 informationMcAfee Application Control 6.1.0
Evlution Guie MAfee Applition Control 6.1.0 For use with epoliy Orhestrtor 4.5.0 4.6.0 COPYRIGHT Copyright 2012 MAfee, In. Do not opy without permission. TRADEMARK ATTRIBUTIONS MAfee, the MAfee logo, MAfee
More informationLicensed to TAP  AIR PORTUGAL,. Printed from JeppView disc
TRNS LEVEL: Y T TRNS LT: 3 JN 03.SI. 103, RZIL KTU, TI, LU, TOVE EPRTURES These SIs require a minimum climb gradient of: Gnd speed 3.3% V/V(fpm) 75 150 200 250 300 250 350 500 700 850 0 t or above 112.1
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 informationA Step, Stride and Heading Determination for the Pedestrian Navigation System
Journl of Globl Positioning Systems (2004) Vol. 3,. 12: 273279 A Step, Stride nd Heding Determintion for the Pedestrin Nvigtion System Jeong Won Kim GNSS Technology Reserch Center, Chungnm Ntionl University,
More informationPerformance Comparison of Dynamic Voltage Scaling Algorithms for Hard RealTime Systems
Performnce Comprison of Dynmic Voltge Scling Algorithms for Hrd RelTime Systems Woonseok Kim Λ Dongkun Shin y HnSem Yun y Jihong Kim y Sng Lyul Min Λ School of Computer Science nd Engineering Seoul Ntionl
More informationDebt and Incentives in Political Campaigns *
Det nd Inentives in Politil Cmpigns * Alexei Ovthinnikov nd Philip Vlt Mrh 15, 2017 Astrt Det is signifint soure of funding of politil mpigns, with lmost hlf of ll mpigns relying on some form of det. In
More informationGroove Dimensions For Standard Wear Ring Widths
NYLON WER RING TEHNIL INFORMTION T E T X D X W W  YLINDER ORE  ROD DIMETER  MINIMUM ORE MINUS.253/.256 D  MXIMUM ROD DIMETER PLUS.253/.256 E  GROOVE WIDTH T  THIKNESS OF WER RING W  WIDTH OF WER
More informationBiomed Certification Study Guide By Dave Harrington ELECTRICAL SAFETY
ELECTRICAL SAFETY Eletril sfety testing is one of the most ommon proeures tht re one y Biome. Every ptient relte evie must e teste for eletril sfety efore it is initilly put into use n on some sis fter
More informationInfluences on Weather and Climate Weather and Climate. Coriolis Effect
Influences on Weather and limate Weather and limate oriolis Effect 1 limate is defined as the common weather conditions in one area over a long period of time. Temperature, humidity, rainfall, and wind
More informationEffects of Ascorbic Acid and Antioxidants on the Color of Irradiated Ground Beef K.C. NAM AND D.U. AHN
JFS: Food Chemistry nd Toxiology Effets of Asori Aid nd Antioxidnts on the Color of Irrdited Ground Beef K.C. NAM AND D.U. AHN Food Chemistry nd Toxiology ABSTRACT: Irrdition signifintly deresed the redness
More informationInfluence of seasonal temperature on the repeat swimming performance of rainbow trout Oncorhynchus mykiss
The Journl of Experimentl Biology 26, 35693579 23 The Compny of Biologists Ltd doi:1.1242/je.588 3569 Influene of sesonl temperture on the repet swimming performne of rinow trout Onorhynhus mykiss Kmini
More informationDaytime Habitat Selection by Resident Golden Eagles in Southern Idaho, USA
Dytime Hbitt Selection by Resident Golden Egles in Southern Idho, USA Environmentl & Sttisticl Consultnts Chd LeBeu 10414 Ryn Nielson, Eric Hllingstd, nd Dve Young cwlebeu@westinc.com Introduction Risk
More informationGebrauchs und Montageanleitung Operating and installation instructions. Instrucciones de uso y montaje. Instrucţiuni de montaj şi utilizare
Geruhs und Montgenleitung Operting nd instlltion instrutions GEBRUIKS EN INSTALLATIEVOORSCHRIFTEN Instruiones de uso y montje Instrukj osługi i montżu Инструкция ПО ЭКСПЛУАТАЦИИ И МОНТАЖУ Instruţiuni
More informationVB7253 Series. Application. Features. Applicable Literature
VB7253 Series 1/2 to 2 Screwed NPT Stinless Steel Trim with Teflon Disc Stem Up Open, TwoWy Vlves Generl Instructions Appliction VB7253 series single set, stem down to close, two wy vlves control wter
More informationAvailable online at ScienceDirect. Procedia Engineering 112 (2015 )
Avilble online t www.sciencedirect.com ScienceDirect Procedi Engineering 112 (2015 ) 225 230 7th AsiPcific Congress on Sports Technology, APCST 2015 Dynmic clibrtion of n instrumented bike brke hood in
More information1. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?
Chapter Problems Motion at Constant Speed Class Work. A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?. During the first 50 s a truck traveled at constant speed of 5 m/s.
More informationVectors. and Projectiles. 21 Vectors and Scalars. Vocabulary. Vector: A quantity with magnitude (size) and direction.
, Vectors and Projectiles 21 Vectors and Scalars Vocabulary Vector: A quantity with magnitude (size) and direction. Some examples of vectors are displacement, velocity acceleration, and force. Vocabulary
More informationReef stainless steel channels
Reef stainless steel channels RETE EUTIFUL RRIER FREE THROOMS. designer stainless steel channels NEW TEHNOLOGY! Reef NNO RRIER NEW! REEFHNNEL.OM.U USTRLIN MDE THE REEF PROMISE: WITH OVER 30 YERS OF MNUFTURING
More informationObject preference by walking fruit flies, Drosophila melanogaster, is mediated by vision and graviperception
2494 The Journl of Experimentl iology 23, 2494256 2. Published by The ompny of iologists Ltd doi:.242/jeb.4749 Object preference by wlking fruit flies, rosophil melnogster, is medited by vision nd grviperception
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 informationMinnesota s Wild Turkey Harvest Fall 2016, Spring 2017
Minnesot s Wild Turkey Hrvest Fll 2016, Spring 2017 Lindsey Messinger Frmlnd Wildlife Popultions nd Reserch Group Minnesot Deprtment of Nturl Resources Mdeli, Minnesot 15 August 2017 Summry of Seson Structure
More informationROOKIE & DOUBLES KOTH THIS WEEK!
WEEK #2 ROOKIE & DOUBLES KOTH THIS WEEK! Handcrafted in the U.S.. by NU Deep Hello Kickballers! Who s ready for some kickball! First week went well and I was so happy to see so many new faces! I want to
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 informationAnalysis of a Twin Screw Expander for ORC Systems using Computational Fluid Dynamics with a Real Gas Model
Purdue University Purdue epubs International Compressor Engineering Conferene Shool of Mehanial Engineering 2014 Analysis of a Twin Srew Expander for ORC Systems using Computational Fluid Dynamis with
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 informationRM1328 R10. Sensus Metering Systems. Model 121 Regulators. Installation and Maintenance Instructions
Sensus Metering Systems RM8 R0 T H E G A S I N D U S T R Y Instlltion n Mintenne Instrutions Introution Te Moel Regultor represents omintion o pity, perormne n vlue... Stremline oy pssges provie lrge
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 informationInvasion of the Lionfish
READTHEORY Name Date Invasion of the Lionfish The lionfish is one of the most dangerous fish in the Atlantic Ocean. Its body is covered with poisonous spines that can cause a very painful sting if you
More information