A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Textbook Question
Chapter 14.3, Problem 9MC
Have each person in the group use a 1-m string to make a different right triangle. Measure each side to the nearest centimeter. Use these measurements to see how closely the your measurements come to satisfying the Pythagorean theorem.
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B: 18060
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Chapter 14 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 14.1 - In track, the second lane from the inside of the...Ch. 14.1 - Prob. 3MCCh. 14.1 - Observe that it is possible to build a triangle...Ch. 14.1 - a. Help each person in the group find his or her...Ch. 14.1 - Jerry wants to design a gold chain 60 cm long made...Ch. 14.1 - A student claims that the circumference of a...Ch. 14.1 - A student asks why 227 cannot always be used as...Ch. 14.1 - A Student imagines a wire stretched around Earth....Ch. 14.1 - Which of these units would be the best to use to...Ch. 14.1 - If Freds rope is 12 inches long, about how long is...
Ch. 14.1A - Use the following picture of a ruler to find each...Ch. 14.1A - Prob. 2ACh. 14.1A - Complete each of the following. a. 100 in....Ch. 14.1A - Prob. 4ACh. 14.1A - Estimate the length of the following segment and...Ch. 14.1A - Prob. 6ACh. 14.1A - Repeat exercise 6 using English measures. 6....Ch. 14.1A - Prob. 8ACh. 14.1A - Prob. 9ACh. 14.1A - Prob. 10ACh. 14.1A - List the following in decreasing order: 8 cm,...Ch. 14.1A - Draw a circle as accurately as possible whose...Ch. 14.1A - a. What is the length of a semicircle of a circle...Ch. 14.1A - Prob. 14ACh. 14.1A - Complete each of the following. a. 10 mm =______cm...Ch. 14.1A - Draw a triangle ABC. Measure the length of each of...Ch. 14.1A - Can the following be the lengths of the sides of a...Ch. 14.1A - Prob. 18ACh. 14.1A - Take an 81211-in. piece of paper, fold it as shown...Ch. 14.1A - Prob. 20ACh. 14.1A - Prob. 21ACh. 14.1A - Prob. 22ACh. 14.1A - Prob. 23ACh. 14.1A - Prob. 24ACh. 14.1A - Prob. 25ACh. 14.1A - Prob. 26ACh. 14.1A - Suppose you have three concentric circles and are...Ch. 14.1B - Use the following picture of ruler to find each of...Ch. 14.1B - Estimate and then measure each of the following in...Ch. 14.1B - Convert each of the following to the indicated...Ch. 14.1B - Prob. 5ACh. 14.1B - Prob. 6ACh. 14.1B - Prob. 7ACh. 14.1B - Prob. 8ACh. 14.1B - If eggs were sold in the United States using...Ch. 14.1B - List the following in decreasing order:...Ch. 14.1B - Draw each of the following as accurately as...Ch. 14.1B - The following figure is a circle whose radius is 2...Ch. 14.1B - Prob. 14ACh. 14.1B - Complete each of the following conversions. a. 35...Ch. 14.1B - Prob. 16ACh. 14.1B - Can the following be the lengths of the sides of a...Ch. 14.1B - Prob. 18ACh. 14.1B - Prob. 20ACh. 14.1B - Prob. 21ACh. 14.1B - Prob. 22ACh. 14.1B - Astronomers use a light-year to measure distance....Ch. 14.1B - Give the greatest possible error for each of the...Ch. 14.1B - a. Find the length of a 48 arc of a circle whose...Ch. 14.1B - Find the radius of the circle containing 60 arc...Ch. 14.1B - Prob. 27ACh. 14.2 - Suppose a triangle has sides of lengths 6 in., 11...Ch. 14.2 - Prob. 2MCCh. 14.2 - Prob. 3MCCh. 14.2 - Explain how the rotation in the following drawing...Ch. 14.2 - Prob. 5MCCh. 14.2 - Prob. 6MCCh. 14.2 - Prob. 7MCCh. 14.2 - Prob. 9MCCh. 14.2 - a. Draw a circle of radius 4 cm and divide it into...Ch. 14.2 - Prob. 11MCCh. 14.2 - Prob. 12MCCh. 14.2 - On a field trip, Glenda, a sixth-grade student,...Ch. 14.2 - Prob. 14MCCh. 14.2 - Prob. 15MCCh. 14.2 - Larry and Gary are discussing whose garden has the...Ch. 14.2 - Ori claims that to find the area of a...Ch. 14.2 - Prob. 18MCCh. 14.2 - Prob. 19MCCh. 14.2 - Prob. 21MCCh. 14.2 - Prob. 22MCCh. 14.2 - Prob. 23MCCh. 14.2 - Prob. 24MCCh. 14.2 - Prob. 25MCCh. 14.2 - Prob. 1NAEPCh. 14.2 - Which figure has the greatest area? A. A B. BC....Ch. 14.2 - Prob. 3NAEPCh. 14.2 - Prob. 4NAEPCh. 14.2 - On the scale drawing above, the shaded area...Ch. 14.2A - Choose the most appropriate metric unit cm2, m2 or...Ch. 14.2A - Estimate and then measure the area of the each of...Ch. 14.2A - Prob. 4ACh. 14.2A - Complete the following conversions a. 4000ft2=yd2...Ch. 14.2A - Find the area of each of the following figures if...Ch. 14.2A - Complete each of the following sentences a. A...Ch. 14.2A - Prob. 8ACh. 14.2A - If a triangle is inscribed in a circle so that one...Ch. 14.2A - Prob. 10ACh. 14.2A - Find the area of each of the following...Ch. 14.2A - a. A rectangular piece of land is 1300m1500m i....Ch. 14.2A - Prob. 13ACh. 14.2A - Prob. 14ACh. 14.2A - Find the cost of carpeting the following rectangle...Ch. 14.2A - Prob. 16ACh. 14.2A - Joe uses stick on square carpet tiles to cover his...Ch. 14.2A - Prob. 18ACh. 14.2A - Prob. 19ACh. 14.2A - Prob. 20ACh. 14.2A - Prob. 21ACh. 14.2A - Prob. 22ACh. 14.2A - Prob. 23ACh. 14.2A - Prob. 24ACh. 14.2A - Prob. 25ACh. 14.2A - Prob. 26ACh. 14.2A - Prob. 27ACh. 14.2A - Prob. 28ACh. 14.2A - The radius of a sector is 1 m. a. Find the area of...Ch. 14.2A - Prob. 30ACh. 14.2A - Prob. 31ACh. 14.2A - Prob. 32ACh. 14.2A - Prob. 33ACh. 14.2A - Prob. 34ACh. 14.2A - Prob. 35ACh. 14.2B - Choose the most appropriate metric unit cm2, m2 or...Ch. 14.2B - Prob. 3ACh. 14.2B - Complete the following conversion table m2 cm2 mm2...Ch. 14.2B - Complete the following conversions a. 99ft2=yd2 b....Ch. 14.2B - Find the areas of each of the following figures if...Ch. 14.2B - Prob. 7ACh. 14.2B - Prob. 8ACh. 14.2B - a. If triangle ABC is similar to triangle DEF and...Ch. 14.2B - Find the area of each of the following...Ch. 14.2B - a. A rectangular piece of land is 1.2km by 900m i....Ch. 14.2B - a. If the area of a rectangle remains constant but...Ch. 14.2B - Prob. 14ACh. 14.2B - Prob. 15ACh. 14.2B - Prob. 16ACh. 14.2B - Prob. 17ACh. 14.2B - Prob. 18ACh. 14.2B - Prob. 19ACh. 14.2B - Prob. 21ACh. 14.2B - If the area of a square is 169in2, what is its...Ch. 14.2B - Prob. 23ACh. 14.2B - Prob. 24ACh. 14.2B - Prob. 25ACh. 14.2B - Prob. 26ACh. 14.2B - A store has wrapping paper on sale, One packed is...Ch. 14.2B - Prob. 28ACh. 14.2B - Prob. 29ACh. 14.2B - Prob. 30ACh. 14.2B - Prob. 31ACh. 14.2B - Prob. 32ACh. 14.2B - The radius of a sector is 2 m. a. Find the area of...Ch. 14.2B - Prob. 34ACh. 14.2B - Prob. 35ACh. 14.2B - Prob. 36ACh. 14.2B - What is the length of the side of a square with...Ch. 14.2B - Prob. 38ACh. 14.3 - Mathematical Connections Given a square, describe...Ch. 14.3 - Prob. 2MCCh. 14.3 - Mathematical Connections The sum of the squares of...Ch. 14.3 - Mathematical Connections Explain how to construct...Ch. 14.3 - Mathematical Connections A Pythagorean triple is a...Ch. 14.3 - Mathematical Connections Explain how to adapt the...Ch. 14.3 - The lane of a rural highway may be only 9 ft wide....Ch. 14.3 - Have each person in the group use a 1-m string to...Ch. 14.3 - Prob. 11MCCh. 14.3 - MATHEMATICAL CONNECTIONS One leg of a right...Ch. 14.3 - June wants to know where all the points that...Ch. 14.3 - Prob. 14MCCh. 14.3 - Prob. 15MCCh. 14.3 - Prob. 16MCCh. 14.3 - Prob. 17MCCh. 14.3 - Prob. 18MCCh. 14.3 - Prob. 19MCCh. 14.3 - Prob. 20MCCh. 14.3 - Prob. 21MCCh. 14.3 - Prob. 23MCCh. 14.3 - National Assessment of Educational ProgressNAEP...Ch. 14.3 - Prob. 2NAEPCh. 14.3A - Prob. 1ACh. 14.3A - Prob. 2ACh. 14.3A - On a 5dot5dot geoboard, construct segments of the...Ch. 14.3A - If the hypotenuse of a right is 30 cm long and one...Ch. 14.3A - For each of the following, determine whether the...Ch. 14.3A - Prob. 8ACh. 14.3A - Prob. 9ACh. 14.3A - Prob. 10ACh. 14.3A - Prob. 11ACh. 14.3A - Find the area of each of the following figuresCh. 14.3A - Find the area of each rhombus given below.Ch. 14.3A - Prob. 14ACh. 14.3A - A company wants to lay a string of buoys across a...Ch. 14.3A - Prob. 16ACh. 14.3A - Prob. 17ACh. 14.3A - Prob. 18ACh. 14.3A - Prob. 19ACh. 14.3A - For each of the following pairs of points, find...Ch. 14.3A - If the length of the hypotenuse in a 306090...Ch. 14.3A - Prob. 22ACh. 14.3A - Prob. 23ACh. 14.3A - Prob. 24ACh. 14.3A - Prob. 25ACh. 14.3A - A boat starts at point A, moves 3 km due north,...Ch. 14.3A - Prob. 27ACh. 14.3A - Prob. 28ACh. 14.3A - The diagonals of a rhombus are 8 in. and 12 in....Ch. 14.3A - Prob. 30ACh. 14.3A - Prob. 31ACh. 14.3B - Prob. 1ACh. 14.3B - Prob. 2ACh. 14.3B - Prob. 3ACh. 14.3B - Prob. 5ACh. 14.3B - Prob. 6ACh. 14.3B - For each of the following, determine whether the...Ch. 14.3B - Prob. 8ACh. 14.3B - Prob. 9ACh. 14.3B - Prob. 10ACh. 14.3B - Prob. 11ACh. 14.3B - Prob. 12ACh. 14.3B - Prob. 13ACh. 14.3B - Prob. 14ACh. 14.3B - On a baseball field 90-ft square if a player...Ch. 14.3B - Prob. 16ACh. 14.3B - Prob. 17ACh. 14.3B - Prob. 18ACh. 14.3B - Prob. 19ACh. 14.3B - Prob. 20ACh. 14.3B - Prob. 21ACh. 14.3B - Prob. 22ACh. 14.3B - Prob. 23ACh. 14.3B - Prob. 24ACh. 14.3B - Prob. 25ACh. 14.3B - Prob. 26ACh. 14.3B - Prob. 27ACh. 14.3B - Prob. 28ACh. 14.3B - Prob. 29ACh. 14.3B - Prob. 30ACh. 14.3B - Prob. 31ACh. 14.3B - Prob. 32ACh. 14.4 - Tennis balls are packed tightly three to a can...Ch. 14.4 - Prob. 2MCCh. 14.4 - In the drawing below, cube B was cut from a larger...Ch. 14.4 - Prob. 4MCCh. 14.4 - Prob. 5MCCh. 14.4 - Prob. 6MCCh. 14.4 - a. 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- ۳/۱ R2X2 2) slots per pole per phase = 3/31 B, 18060 msl Kas Sin() 1sin() sin(30) Sin (30) kd اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speeds S = 1000-950 1000 Copper bosses 5kw 120*50 loca G Rotor input 5 loo kw 6) 1 0.05 اذا ميريد شرح الكتب فقط lookw 7) rotor DC ined sove in peaper I need a detailed solution on paper please 064 Q1// Find the solution of QI/Find the solution of Inxy= 7357 x+2y³ y' = xy3arrow_forwardR₂ = X2 2) slots per pole per phase 3/31 msl 180 60 Kd Ka Sin (1) Isin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120*50 1000 6 S = 1000-950 1000 Copper bosses: 5kw Rotor input 5 0.05 : loo kw 6) 1 اذا ميريد شرح الكتب فقط 100 7) rotor DC ined sove in peaper I need a detailed solution on paper please Find the general solution of the following equations: Q2lyl-4y+13y=esinx. Find the general solution of the following equations: " Qly (49) - 16y= 0. 151arrow_forward۳/۱ R₂ = X2 2) slots per pole per phase = 3/31 B-18060 msl kd Kasi Sin (1) I sin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed s = 1000-950 1000 Copper losses: 5kw Rotor input 5 0.05 6) 1 120 x 50 G loo kw اذا میرید شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper dy please 04 12=-cosx.y + 2cosx with y(x) = 1 か 'Oy + xlny + xe")dx + (xsiny + xlnx +*dy=0. 01arrow_forward
- ٣/١ R2X2 2) slots per pole per phase = 3/31 B, 18060 msl kd Kas Sin (1) 1sin() sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speeds S = 1000-950 1000 Copper bosses 5kw 120*50 loca G Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط lookw 7) rotor ined sove in peaper I need a detailed solution on paper please DC 口 04 on its wheels as shown in figure. The the door is 8 m below the free surface o is located at the center of the d no water leaks an accident and lands at the bottom of the lake 12m high and I m wide, and the top edge of water Determine the hydrostatic force on the discuss if the driver can open the door, if ong person can lift 100 kg, the passenger The door can be approximated as a vertical rec | 279|-|(23+2+12+20=2) AA Find the general solution of the following equations: 11 - 1/4+xy/-(1-x²³)= 0. 2arrow_forward۳/۱ : +0 العنوان I need a detailed drawing with explanation R₂ = X2 2) slots per pole per phase 3/31 Le msl 180 60 Kd Ka Sin (1) Isin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120*50 1000 6 S = 1000-950 1000 Copper bosses: 5kw Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط ١٥٠ 7) rotov DC ined sove in peaper I need a detailed solution on paper please 064 Q1// Find the solution of: ( texty Q1// Find the solution of: '' y' -2y= 22% √y³arrow_forwardR2X2 2) slots per pole per phase = 3/31 B-180-60 msl kd Ka, Sin (1) I sin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed s = 1000-950 1000 Copper losses 5kw 120 50 G Rotor input 5 loo kw 6) 1 ۳/۱ 0.05 إذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please Find the general solution of the following equations: " yll + 4y = tan2x. Find the general solution of the following equations: 01-24+7=0 T el [A] G ха =T Marrow_forward
- R₂ = X2 2) slots per pole per phase = 3/31 B-18060 msl kd Kasi Sin (1) I sin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed s = 1000-950 1000 Copper losses: 5kw Rotor input 5 0.05 6) 1 120 x 50 G loo kw اذا میرید شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper please 0 64 Solve the following equations: = dx x²+y2 with y(0) = 1. 7357 Solve the following equations: dy x³+3xy² Q1// = dx 3x²y+y³° 01arrow_forward٣/١ R2X2 2) slots per pole per phase = 3/3 1 B18060 msl Kd 3 Kol Sin (1) 1sin() sin(30) Sin (30) اذا میرید شرح الكتب بس 0 بالفراغ 3) cos (30) 0.866 4) Rotating 5) Synchronous speeds 120*50 G looo 1000-950 1000 50:05 Copper losses: 5kw Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper please 0 64 (Find the solution of the initial-valued problems: xy' + 2y = x³e* ;y(1) = 0 Q1// Find the solution of: (1) y' + ytqpx = see²x y³arrow_forwardA fluid has density 800 kg/m³ and flows with velocity v = xi + yj + zk, where x, y, and z are measured in meters, and the components of u are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 64 - x² - y² that lies above the xy plane.arrow_forward
- ۳/۱ : +0 العنوان I need a detailed drawing with explanation R₂ = X2 2) slots per pole per phase 3/31 Le msl 180 60 Kd Ka Sin (1) Isin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 S = 1000-950 1000 Copper bosses: 5kw Rotor input 5 6 : loo kw 6) 1 0.05 اذا ميريد شرح الكتب فقط 100 7) rotor DC 1000 ined sove in peaper I need a detailed solution on paper please // Find the solution of: |(2xy³ + 4x)y' = x²y² + y² 351 // Find the solution of: (1) 2xyy' = 1+ y² 01 175 T Τ Marrow_forwardFind the flux of the vector field F = (y,−x, 2²) through the helicoid with parameterization r(u, v) = (u cos v, u sin v, v) 0 ≤ u≤ 3, 0 ≤v≤ oriented away from the origin.arrow_forwardthey take? 8.1.13 WP GO Tutorial An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects” (1997, Vol. 128, pp. 135–142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the United Kingdom. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (°C), and total monthly rainfall (mm). The following data below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows: 15.2 14.2 14.0 12.2 14.4 12.5 14.3 14.2 13.5 11.8 15.2 Assume that the standard deviation is known to be σ = 0.5. a. Construct a 99% two-sided confidence interval on the mean temperature. b. Construct a 95% lower-confidence bound on the mean temperature. c. Suppose that you wanted to be 95% confident that…arrow_forward
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