1 Measurement. What you will learn. World s largest cylindrical aquarium. Australian Curriculum Measurement and Geometry Using units of measurement


 Horatio Alexander
 2 years ago
 Views:
Transcription
1 Austrlin Curriulum Mesurement nd Geometry Using units of mesurement hpter 1 Mesurement Wht you will lern Conversion of units Perimeter Cirumferene Are Are of irle Surfe re of prisms Surfe re of ylinder Volume of solids World s lrgest ylindril qurium Inside the Rdisson SAS hotel in Berlin is the world s lrgest ylindril qurium. Some of its mesurement fts inlude: Height: 25 m Dimeter: 11 m Volume of se wter: L Curved surfe re: 864 m 2 The trnsprent sing is mde from speil polymer tht is very strong nd n e mde nd delivered s one piee. Cylindril mesurement formuls re used to lulte the mount of polymer needed nd the volume of se wter it n hold.
2 2 Chpter 1 Mesurement Pretest 1 Nme these shpes. d e f g h 2 Write the missing numer. 1 km = m 1 m = m 1 m = mm d 1 L = ml e 0.5 km = m f 2.5 m = mm 3 Find the perimeter of these shpes. 3 m 4 Find the re of these shpes. 2 m 5 m 11 m 10 m 7 m 5 m 1.3 mm 2.5 mm 6 km 2.1 mm 5 Find the re of these tringles using A = 1 2 h. 4 m 2 m 4 m 7 m 3 km 6 Use C = π d nd A = π r 2 to find the irumferene nd re of this irle. Round to two deiml ples. 4 km 10 m d = 10, r = 5
3 Mesurement nd Geometry Conversion of units To work with length, re or volume mesurements, it is importnt to e le to onvert etween different units. Timer, for exmple, is widely used in uildings for frmes, roof trusses nd windows, to nme few things. It is importnt to order the orret mount of timer so tht the ost of the house is minimised. Although plns give mesurements in mm nd m, timer is ordered in metres (often referred to s linel metres), so we hve to onvert ll our mesurements to metres. Building house lso involves mny re nd volume lultions nd onversions. Let s strt: House plns All homes strt from pln, whih is usully designed y n rhitet nd shows most of the si fetures nd mesurements tht re needed to uild the house. Mesurements re given in millimetres BED 1 WIR BED 4 LIVING MEALS FAMILY KITCHEN GARAGE BED 3 WC BED 2 RUMPUS How mny edrooms re there? Wht re the dimensions of the mster edroom (BED 1)? Wht re the dimensions of the mster edroom, in metres? Will the rumpus room fit pool tle tht mesures 2.5 m 1.2 m, nd still hve room to ply? How mny rs do you think will fit in the grge? Wht do you think is going to over the floor of the kithen, mels nd fmily rooms?
4 4 Chpter 1 Mesurement Key ides To onvert units, drw n pproprite digrm nd use it to find the onversion ftor. For exmple: 1 km 1000 m 1 m m 100 m 1 m 3 1 km = 1000 m 1 m 2 = m 3 = = m 2 = 1000 mm 3 Conversions: Length km m m mm Are To multiply y 10, 100, 1000, et. move the deiml point one ple to the right for eh zero; e.g = km 2 m 2 m 2 mm Volume km 3 m 3 m 3 mm 3 To divide y 10, 100, 1000 et. move the deiml point one ple to the left for eh zero; e.g = Exerise 1A Understnding 1 Write the missing numers in these sentenes involving length. There re m in 1 km. There re mm in 1 m. There re m in 1 m. 1 km 1000 m 2 Write the missing numers in these sentenes involving re units. There re mm 2 in 1 m 2. There re m 2 in 1 m 2. There re m 2 in 1 km 2. 1 m 2
5 Mesurement nd Geometry 5 3 Write the missing numers in these sentenes involving volume units. There re mm 3 in 1 m 3. There re m 3 in 1 km 3. There re m 3 in 1 m 3. 1 m 3 Flueny Exmple 1 Converting length mesurements Convert these length mesurements to the units shown in the rkets. 8.2 km (m) 45 mm (m) Solution 8.2 km = = 8200 m Explntion 1 km 1000 m 1 km = 1000 m 45 mm = = 4.5 m 1 m 1 m = Divide if onverting from smller unit to lrger unit. 4 Convert the following mesurements of length into the units given in the rkets m (mm) 327 m (km) If onverting 834 m (m) d m (mm) to smller unit, multiply. e m (km) f m (m) Otherwise, divide. Exmple 2 Converting re mesurements Convert these re mesurements to the units shown in the rkets. 930 m 2 (m 2 ) 0.4 m 2 (mm 2 ) Solution Explntion 930 m 2 = = m 2 1 m m 1 m 2 = m 2 = = 40 mm m 1 m 2 = m 2 1 m 2 = = 100 mm 2
6 6 Chpter 1 Mesurement 1A 5 Convert the following re mesurements into the units given in the rkets m 2 (mm 2 ) 0.5 m 2 (m 2 ) 1 m 2 = 100 mm 2 5 km 2 (m 2 ) d mm 2 (m 2 ) 1 m 2 = m 2 e 537 m 2 (mm 2 ) f m 2 (m 2 ) 1 km 2 = m 2 Exmple 3 Converting volume mesurements Convert these volume mesurements to the units shown in the rkets m 3 (mm 3 ) 4300 m 3 (m 3 ) Solution Explntion 3.72 m 3 = = 3720 mm 3 1 m 3 1 m 3 = = 1000 mm m 3 = = m m 1 m m 1 m 3 = m = m 3 6 Convert these volume mesurements into the units given in the rkets. 2 m 3 (mm 3 ) 0.2 m 3 (m 3 ) 5700 mm 3 (m 3 ) d km 3 (m 3 ) e m 3 (km 3 ) f m 3 (m 3 ) 1 m 3 = 1000 mm 3 1 m 3 = m 3 1 km 3 = m 3 7 An thlete hs ompleted 5.5 km run. How mny metres did the thlete run? Prolemsolving nd Resoning
7 Mesurement nd Geometry 7 8 Determine the metres of timer needed to onstrut the following frmes. 240 m 200 m 60 m 60 m60 m60 m60 m60 m 60 m 140 m 40 m 60 m 9 Find the totl sum of the mesurements given, expressing your nswer in the units given in the rkets. 10 m, 18 mm (mm) 1.2 m, 19 m, 83 mm (m) Convert to the units in rkets. Add up 453 km, 258 m (km) d 400 mm 2, 11.5 m 2 (m 2 ) to find the sum. e 0.3 m 2, 251 m 2 (m 2 ) f km 2, 9 m 2, m 2 (m 2 ) g mm 3, 2.5 m 3 (mm 3 ) h km 3, m 3 (m 3 ) 10 A snil is moving t rte of 43 mm every minute. How mny entimetres will the snil move in 5 minutes? 11 Why do you think tht uilders mesure mny of their lengths using only millimetres, even their long lengths? Speil units 12 Mny units of mesurement prt from those relting to mm, m, m nd km re used in our soiety. Some of these re desried here. Length Inhes 1 inh 2.54 m = 25.4 mm Feet 1 foot = 12 inhes m Miles 1 mile km = 1609 m Are Squres 1 squre = 100 squre feet Hetres (h) 1 hetre = m 2 Volume Millilitres (ml) 1 millilitre = 1 m 3 Litres (L) 1 litre = 1000 m 3 Convert these speil mesurements into the units given in the rkets. Use the onversion informtion given erlier to help. 5.5 miles (km) 54 inhes (feet) 10.5 inhes (m) d 2000 m (miles) e 5.7 h (m 2 ) f 247 m 3 (L) g 8.2 L (ml) h 5.5 m 3 (ml) i 10 squres (sq. feet) j 2 m 3 (L) k 1 km 2 (h) l ml (m 3 )
8 8 Chpter 1 Mesurement 1.2 Perimeter Perimeter is mesure of length round the outside of shpe. We lulte perimeter when ordering eiling ornies for room, or mterils for fening pddok or uilding television frme. Let s strt: Lshped perimeters This Lshped figure inludes only right (90 ) ngles. Only two mesurements re given. Cn you figure out ny other side lengths? Is it possile to find its perimeter? Why? 10 m 13 m Key ides Perimeter is the distne round the outside of twodimensionl shpe. To find the perimeter we dd ll the lengths of the sides in the sme units. P = = 24 m 7 m 8 m 4 m Perimeter The totl distne (length) round the outside of figure 5 m If two sides of shpe re the sme length they re lelled with the sme mrkings. P = 2x + y + z x z y
9 Mesurement nd Geometry 9 Exerise 1B Understnding 1 Write the missing word: The distne round the outside of shpe is lled the. 2 Write down the vlue of x for these shpes. 6 x 7.1 x x 4.3 Flueny Exmple 4 Finding perimeters of si shpes Find the perimeter of these shpes. 2 m 3 m 3 m 3.5 m 4 m 5 m 4.5 m Solution Perimeter = = 12.5 m Perimeter = = 18.5 m Explntion Add ll the lengths of the sides together. Three lengths hve the sme mrkings nd re therefore the sme length. 3 Find the perimeter of these shpes. 3 m 4 m 5 m 4 m 6 m 7 m 6 m 5 km 3 km Sides with the sme mrkings re the sme length. d 3 m e f 6.4 m 2.5 m 2.5 m
10 10 Chpter 1 Mesurement 1B 4 Find the perimeter of these shpes. 1.3 m 1.2 m 2.4 m 1.8 m 8 mm 22 mm 18 mm 17 mm d 2 m 220 m 7 m 185 m 3 m e 0.5 km f 12 m 34 m 32 m 2.6 km Prolemsolving nd Resoning Exmple 5 Finding missing side length Find the vlue of x for this shpe with the given perimeter. 4.5 m 2.1 m P = 11.9 m 3.4 m x m Solution x = x = 11.9 x = 1.9 Explntion All the sides dd to 11.9 in length. Simplify. Sutrt 10 from oth sides.
Name 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 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 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 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 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 informationSAMPLE EVALUATION ONLY
mesurement nd geometry topic 15 Pythgors theorem 15.1 Overview Why lern this? Pythgors ws fmous mthemtiin who lived out 2500 yers go. He is redited with eing the fi rst person to prove tht in ny rightngled
More informationLesson 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 informationSpecial Right Triangles
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.
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 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 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 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 information5.5 The Law of Sines
434 HPTER 5 nlyti Trigonometry 5.5 Te Lw of Sines Wt you ll lern out Deriving te Lw of Sines Solving Tringles (S, S) Te miguous se (SS) pplitions... nd wy Te Lw of Sines is powerful extension of te tringle
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 information8.1 Right Triangle Trigonometry; Applications
SECTION 8.1 Right Tringle Trigonometry; pplitions 505 8.1 Right Tringle Trigonometry; pplitions PREPRING FOR THIS SECTION efore getting strted, review the following: Pythgoren Theorem (ppendix, Setion.,
More information6E Introducing rates 6F Ratios and rates and the unitary method 6G Solving rate problems (Extending) 6H Speed (Extending)
Chpter 6 Rtios nd rtes Wht you will lern 6A Introduing rtios 6B Simplifying rtios 6C Dividing quntity in given rtio (Extending) 6D Sle drwings 6E Introduing rtes 6F Rtios nd rtes nd the unitry method 6G
More information400 Series Flat Panel Monitor Arm Rotate Mount Double Pivot P/L
User's Guide 400 Series Flt Pnel Monitor Arm Rotte Mount Doule Pivot P/L < 23ls. (10.44 kg) For the ltest User Instlltion Guide plese visit: www.ergotron.om 1 of 10 Hzrd Symols Review These symols lert
More informationAustralian curriculum NUMBER AND ALGEBRA
6A 6B 6C 6D 6E 6F 6G 6H Chpter Wht you will lern Introduing rtios Simplifying rtios Dividing quntity in given rtio (Extending) Sle drwings Introduing rtes Rtios nd rtes nd the unitry method Solving rte
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 informationHookup Checklist for the Ranger PM7000 (EU)
Rnger Hookup Cheklist for the Rnger (EU) Reserh Limited Reserh Limited Step 1. Estlish type of instlltion (e.g. no. of phses). Step 2. Estlish type of trnsduers (PTs, CTs et.). Step 3. Choose one of the
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 informationWorkrite Sierra HX & HXL Assembly Instructions for 3leg Electric Workcenters
Workrite ierr HX & HXL Assemly Instrutions for 3leg Eletri Workenters #1500216 Rev Workrite ierr HX & HXL Eletri Workenters  Assemly Instrutions for 3leg les Rer Leg rket* Qty: 2 List of rts, grouped
More information10mm SHOWER PANEL SIZES 1000 & 1200 SIZES 500, 600, 700, 800 & 900 SIZES 1000 & 1200 OPTION 1  PAGES 24 OPTION 2  PAGES 25 OPTION 3  PAGES 67
SHOWER PANEL 785 / Issue / 5 SIZES 5, 6, 7, 8 & 9 SIZES & SIZES & OPTION  PAGES  OPTION  PAGES  5 OPTION 3  PAGES 67 Plese red these instrutions refully nd keep for future referene. Inorret fitting
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 informationName: Class: Date: ID: A. 2. What is the perimeter of a rectangular room that has a length of 5.1 m and a width that is 2 m less than the length?
Name: Class: _ Date: _ ID: A Review Package 3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the perimeter of a square garden with a side length
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 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 informationAnnouncements. CS 188: Artificial Intelligence Spring Today. P4: Ghostbusters. Exact Inference in DBNs. Dynamic Bayes Nets (DBNs)
CS 188: Artificil Intelligence Spring 2010 Lecture 21: DBNs, Viteri, Speech Recognition 4/8/2010 Written 6 due tonight Project 4 up! Due 4/15 strt erly! Announcements Course contest updte Plnning to post
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 informationInterpret Information
Interpret Informtion Understnding Tle Tke your time nd try to understnd wht the tle elow is telling you. Exmple : This lol inem film times re shown in the dvert. Write wht film is showing in : (i) (ii)
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 informationConnectors according to DIN / IEC
E L E C T R O N I C C O N N E C T O R S Connetors ording to DIN 41612 / IEC 606032 56 ept GmH I Tel. +49 (0) 88 61 / 25 01 0 I Fx +49 (0) 88 61 / 55 07 I EMil sles@ept.de I www.ept.de Contents Introdution
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 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 informationRuth Foster, M.Ed. Author
Eitor Eri Migliio Mnging Eitor In Mssler Levin, M.A. Illustrtor Viki Frser Cover Artist Bren DiAntonis Art Proution Mnger Kevin Brnes Imging Jmes Ewr Gre Ros C. See Pulisher Mry D. Smith, M.S. E. Author
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 informationHD CONDUIT MIN. 10% FALL CHAMBER MONITORING SYSTEM HD CONDUIT REFER NOTE 13 SECTION CC DETAILS OF BENCHING
FLOT SWITH DN50 upv PRESSURE FOR SENSOR TUING ( OVER) REFER TO 4 ND FLOT SWITH (50%) DN80 upv SUTION (600 OVER) GRVITY SEWER MINS FLL TOWRDS SUMP REFER TO NOTE 9 PLN (OVERS REMOVED) SLIDE GTE VLVE ± HMER
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 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 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 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 informationIncremental Dependency Parsing
Inrementl Dependeny Prsing Mihel Fell 9 June 2011 1 Overview  Inrementl Dependeny Prsing  two lgorithms  evlution  enerl ritiism on present pprohes  possile improvements  ummry 2 Dependeny Prsing
More informationMeasurement LESSON ONE  Metric and Imperial Lesson Notes
0 1 2 Measurement Introduction Introduction to Measurement a) Complete the following table: Unit Length Multiplying (in metres) Factor Referent mm cm dm m dam hm km b) Indicate which measuring tool is
More 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 informationDepartment of Animal and Aquacultural Sciences, Norwegian University of life Science, POBox N1432 Ås, Norway.
Presenttion in session H11.5 * The ehviour of horses in different pddock sizes, with nd without exercise G.H.M. Jørgensen * & K.E. Bøe. Deprtment of Animl nd Aquculturl Sciences, Norwegin University of
More informationIGF Research Project N Safer High Heels
IGF Reserch Project 17868 N Sfer High Heels Survivl of compnies in the fshion nd sesonlly dependent sectors such s the footwer industry depends upon their ility to implement the ltest trends. Shoe ottoms
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 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 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 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 informationWorkfit SR, Dual Monitor Short Surface
User's Guide Workfit SR, Dul Monitor Short Surfce Do not throw wy! Crdord locks needed for instlltion. Visit http://www.ergotron.com/workfi tsrinstll for instlltion instructionl video. NOTE: 10 feet
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 informationStep #2 Liner Type. Enter the pool shape you selected from STEP 2 of the MEASURING INSTRUCTIONS:
LINER MESURING FORM 6385 150th ve. N. Clearwater, FL 33760 18777477946 Fax: 18888587946 Please refer to the MESURING INSTRUCTIONS for details on accurately completing this form! o EDED o LOW HUNG
More information1.1 Imperial Measurements
1.1 Imperial Measurements Unit Abbreviation Referent inch in. foot ft yard yd. or yds. mile mi. length of thumb knuckle to end of thumb length of foot tip of nose to end of finger when outstretched 20
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 informationPRESSURE LOSSES DUE TO THE LEAKAGE IN THE AIR DUCTS  A SAFETY PROBLEM FOR TUNNEL USERS?
 7  PRESSURE LOSSES DUE TO THE LEAKAGE IN THE AIR DUCTS  A SAFETY PROBLEM FOR TUNNEL USERS? Pucher Krl, Grz Uniersity of Technology, Austri EMil: pucherk.drtech@gmx.t Pucher Robert, Uniersity of Applied
More informationAHPbased tennis service technical evaluation consistency test
Avilble online.jocpr.com Journl of Chemicl nd Phrmceuticl Reserch, 0, ():779 Reserch Article ISSN : 09778 CODEN(USA) : JCPRC AHPbsed tennis service technicl evlution consistency test Mio Zhng Deprtment
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 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 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 informationContents. Introduction... 4 About Twin Beads and SuperDuos... 5 Tools and Materials... 6 Techniques... 8
Contents Introution... 4 Aout Twin Bes n SuperDuos.... 5 Tools n Mterils... 6 Tehniques.... 8 Brelets Duet twin peyote stith... 17 City Lights twin squre stith... 19 Nine Pth twin rightngle weve... 22
More informationACTIVITY: Finding a Formula Experimentally
8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack
More informationRULES OF HOCKEY
RULES OF HOCKEY 20072008 Rules of 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 1004 Lusnne Switzerlnd
More informationTHERMOFLO FLUID PUMPS& SYSTEMS THERMOFLO FOR HEATING, COOLING AND WATER SUPPLY APPLICATIONS TO BS7074 SEALED SYSTEMS EXPANSION VESSELS PRESSURIZERS
THERMOFLO S E A L E D S Y S T E M S THERMOFLO SEALED SYSTEMS FOR HEATING, COOLING AND WATER SUPPLY APPLICATIONS TO BS7074 EXPANSION VESSELS PRESSURIZERS PUMPS& SYSTEMS WALL OR BASE MOUNTING PRESSURIZERS
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 informationMATHEMATICAL SKILLS GEARS, GEAR TRAINS AND COMPOUND GEARS
MTHEMTIL SKILLS GERS, GER TRINS ND OMPOUND GERS SSOITED EXMINTION QUESTIONS WORLD SSOITION OF TEHNOLOGY TEHERS DESIGN ND TEHNOLOGY NOT FOR SLE OR REDISTRIUTION THIS MTERIL NNOT E EDITED OR PLED ON NY OTHER
More informationAn Indian Journal FULL PAPER ABSTRACT KEYWORDS. Trade Science Inc. The tennis serve technology based on the AHP evaluation of consistency check
[Type text] [Type text] [Type text] ISSN : 0977 Volume 0 Issue 0 BioTechnology 0 An Indin Journl FULL PAPER BTAIJ, 0(0), 0 [7] The tennis serve technology bsed on the AHP evlution of consistency check
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 informationJOHNSTON COUNTY DEPARTMENT OF UTILITIES DUCHESS DOWNS FORCE MAIN IMPROVMENTS OCTOBER 2017
DEPRTMENT OF UTILITIES FORE MIN IMPROVMENTS OTOER 2017 Owner: Johnston ounty ORD OF OMMISSIRS Jeffrey P. arver  hairman Ted G. Godwin  Vice hairman ookie Pope llen L. Mims, Jr. had M. Stewart Keith ranch
More informationThe following reference pages can be downloaded, given to your learners, who can put them to one side until needed.
Retail Maths Numeracy skills are needed in many retail activities. Your employees will need to measure, and to work out maths problems daily. Sometimes it is good to have a general reference page for them
More informationName: Class: Date: 2. This quarter is approximately 2.5 cm wide. Estimate how long the line is using the quarter as a referent.
Name: Class: Date: ID: A Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What reading is shown on the caliper image below? a. 45.65 mm
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 informationSo Chic Dollhouse. Assembly Instructions Item #65078
Please retain this information for future reference So hic Dollhouse ssembly Instructions Item #65078 To order replacement parts, please visit UTION: dult assembly required. Hardware contains small screws
More informationBypass Compensator Cartridge, Size 16
Bypss Compenstor Crtridge, Size 6 Q mx = 5 l/min, p mx = 42 br Direct cting, djustble compenstor spring Description These directcting bypss pressurecompenstor (hydrostt) crtridges, series DWDP2B 6,
More informationOur allrounder stands out for its superb precision and durability. Central clamping of workpiece for conventional clamping and clamping of
124 Allmti CENTRO GRIPP FOR CENTRAL GRIPPING Our llrounder stnds out for its super preision nd durility. Centrl lmping of workpiee for onventionl lmping nd lmping of unmined prts. Idel for 5sided mining.
More informationCollettsville Road Race
Merckx Time Tril April 7th 2017 4690 Collettsville School Dr. Collettsville, NC 28611 Get redy to strt your omnium weekend off with n evening TT. This course is the strt nd finish stretch of the Rod Rce
More information1970 BRITISH COHORT STUDY: SURVEY
1970 BRITISH COHORT STUDY: 201618 SURVEY Selfcompletion Questionnire HOW TO FILL IN THE QUESTIONNAIRE Plese complete the questionnire using blck or blue ink. The questionnire will be red by scnner, so
More informationOptimizing Ammonia with Traps to Manage Apple Maggot in Washington Wee Yee, Research Entomologist Pete Landolt, Research Entomologist
FINAL REPORT Projet Title: PI: CoPI: Orgniztion: Optimizing Ammoni with Trps to Mnge Apple Mggot in Wshington Wee Yee, Reserh Entomologist Pete Lndolt, Reserh Entomologist USDAARS, Wpto, WA Ojetives:
More informationStandard Products BRACKETS CONNECTORS ELBOWS FLANGES SPHERES / HEMISPHERES / POST & END CAPS SLIPON FITTINGS BIKE RACKS MISCELLANEOUS PRODUCTS
Stndrd Produts BRACKETS CONNECTORS ELBOWS FLANGES SPHERES / HEMISPHERES / POST & END CAPS SLIPON FITTINGS BIKE RACKS MISCELLANEOUS PRODUCTS Formed Wll Mount Brkets Formed Wll Mount Brket Aville in Steel,
More informationInstructions. Electronic Aquarium Water Change System. Replenishing Water. Extracting Water. Includes instructions for:
Instructions Electronic Aqurium Wter Chnge System Includes instructions for: Replenishing Wter Extrcting Wter INTRODUCTION WHAT S INCLUDED The Aquplenish Wter Chnger conditions, monitors nd replenishes
More informationNational Next Generation Science Standards
Ntionl Next Genertion Siene Stndrds Students who demonstrte understnding n: Stndrd (s): HSLS3. Pln nd ondut n investigtion to provide evidene tht feedk mehnisms mintin homeostsis. STEM Prtie: Plnning
More information