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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 7.3, Problem 20ES

Textbook Problem

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**Race Tracks** The first circular dog race track opened in 1919 in Emeryville, California. The radius of the circular track was 157.64 ft. Find the circumference of the track. Use 3.14 for

To determine

The circumference of the dog track (rounded to the nearest foot)

**Given:**

Given, the dog track is in the shape of a circle.

The radius of the circular track ( r ) is 157.64 ft.

**Calculation:**

The circumference of a circle with radius r is given by

Plugging the value

Mathematical Excursions (MindTap Course List)

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Ch. 7.1 - Draw the yin-and-yang symbol shown at the right....Ch. 7.1 - Draw a hexagon with all sides the same length....Ch. 7.1 - Find the midpoint of the line segment AB.Ch. 7.1 - Draw the heart-shaped figure shown at the right....Ch. 7.1 - Convert between the two measurements. 6ft = in.Ch. 7.1 - Convert between the two measurements. 7920 ft = miCh. 7.1 - Convert between the two measurements. 5yd = in.Ch. 7.1 - Convert between the two measurements. 12 mi = ydCh. 7.1 - Convert between the two measurements. 64 oz = lbCh. 7.1 - Convert between the two measurements. 9000 lb =...

Ch. 7.1 - Convert between the two measurements. 712 lb = ozCh. 7.1 - Convert between the two measurements. 45 ton = lbCh. 7.1 - Convert between the two measurements. 212 c = fl...Ch. 7.1 - Convert between the two measurements. 10 qt = galCh. 7.1 - Convert between the two measurements. 7 gal = ptCh. 7.1 - Convert between the two measurements. 112 qt = cCh. 7.1 - Convert between the two measurements. 62 cm = mmCh. 7.1 - Convert between the two measurements. 6804 m = kmCh. 7.1 - Convert between the two measurements. 3.21 m = cmCh. 7.1 - Convert between the two measurements. 260 cm = mCh. 7.1 - Convert between the two measurements. 7421 g = kgCh. 7.1 - Convert between the two measurements. 43 mg = gCh. 7.1 - Convert between the two measurements. 0.45 g = dgCh. 7.1 - Convert between the two measurements. 0.0456 g =...Ch. 7.1 - Convert between the two measurements. 7.5 ml = LCh. 7.1 - Convert between the two measurements. 0.037 L = mlCh. 7.1 - Convert between the two measurements. 0.435 L =...Ch. 7.1 - Convert between the two measurements. 897 L =...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - Solve. Round to the nearest hundredth if...Ch. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - As our scientific and technical knowledge has...Ch. 7.1 - The speed of light is approximately 3108 m/s. 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Ships...Ch. 7.4 - Which one of the following figures is not...Ch. 7.4 - Which one of the following figures is not...Ch. 7.4 - In parts a and b, the letters of the alphabet are...Ch. 7.4 - In parts a and b, the numerals I through 9 are...Ch. 7.4 - It has been said that a topologist doesnt know the...Ch. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Find the ratio of the lengths of corresponding...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - Triangles ABC and DEF are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - The given triangles are similar triangles. Use...Ch. 7.4 - In the figure below, BDAE, BD measures 5 cm. AE...Ch. 7.4 - In the figure below, ACDE, BD measures 8 m, AD...Ch. 7.4 - In the figure below DEAC, DE measures 6 in., AC...Ch. 7.4 - In the figure below, AEBD, AB = 3 ft, ED = 4 ft,...Ch. 7.4 - In the figure below, MP and NQ intersect at O, NO...Ch. 7.4 - In the figure below, MP and NQ intersect at O, NO...Ch. 7.4 - In the figure below, MQ and NP intersect at O. 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If the ratio of the corresponding...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Find the length of the unknown side of the...Ch. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Use the given information to solve each exercise....Ch. 7.4 - Determine whether the statement is always true,...Ch. 7.4 - In the figure below, the height of a right...Ch. 7.5 - A cylinder with a 2-cm radius and a height of 10...Ch. 7.5 - A sphere with a radius of 6 in. is placed in a...Ch. 7.5 - A chemist wants to know the density of a statue...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the volume of the figure. For calculations...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Find the surface area of the figure. For...Ch. 7.5 - Solve. Volume A rectangular solid has a length of...Ch. 7.5 - Solve. Volume Find the volume of a rectangular...Ch. 7.5 - Solve. Volume Find the volume of a cube whose side...Ch. 7.5 - Solve. Volume The length of a side of a cube is 7...Ch. 7.5 - Solve. Volume The diameter of a sphere is 6 ft....Ch. 7.5 - Solve. Volume Find the volume of a sphere that has...Ch. 7.5 - Solve. Volume The diameter of the base of a...Ch. 7.5 - Solve. Volume The height of a cylinder is 7.2 m....Ch. 7.5 - Solve. Volume The radius of the base of a cone is...Ch. 7.5 - Solve. Volume The height of a cone is 15 cm. The...Ch. 7.5 - Solve. Volume The length of a side of the base of...Ch. 7.5 - Solve. Volume The height of a regular square...Ch. 7.5 - Solve. The length of a side of a cube is equal to...Ch. 7.5 - Solve. A sphere and a cylinder have the same...Ch. 7.5 - Solve. The Statue of Liberty The index finger of...Ch. 7.5 - Solve. Fish Hatchery A rectangular tank at a fish...Ch. 7.5 - Solve. The Panama Canal When the lock is full, the...Ch. 7.5 - Solve. Surface Area The width of a rectangular...Ch. 7.5 - Solve. Surface Area The side of a cube measures...Ch. 7.5 - Solve. Surface Area Find the surface area of a...Ch. 7.5 - Solve. Surface Area Find the exact surface area of...Ch. 7.5 - Solve. Surface Area The radius of a sphere is 2...Ch. 7.5 - Solve. Surface Area The radius of the base of a...Ch. 7.5 - Solve. Surface Area The diameter of the base of a...Ch. 7.5 - Solve. Surface Area The slant height of a cone is...Ch. 7.5 - Solve. Surface Area The diameter of the base of a...Ch. 7.5 - Solve. Surface Area The length of a side of the...Ch. 7.5 - Solve. Surface Area The slant height of a regular...Ch. 7.5 - Solve. Appliances The volume of a freezer that is...Ch. 7.5 - Solve. Aquariums The length of a rectangular solid...Ch. 7.5 - Solve. Paint A can of paint will cover 300 ft2 of...Ch. 7.5 - Solve. Ballooning A hot air balloon is in the...Ch. 7.5 - Solve. Surface Area The length of a side of the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the volume of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Find the surface area of the figure. Round to the...Ch. 7.5 - Oil Tanks A truck is carrying an oil tank. The...Ch. 7.5 - Swimming Pools How many liters of water are needed...Ch. 7.5 - Metallurgy A piece of sheet metal is cut and...Ch. 7.5 - Gold A solid sphere of gold alloy with a radius of...Ch. 7.5 - Swimming Pools A swimming pool is built in the...Ch. 7.5 - a. Draw a two-dimensional figure that can be cut...Ch. 7.5 - A sphere fits inside a cylinder as shown in the...Ch. 7.5 - Determine whether the statement is always true,...Ch. 7.5 - a. 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Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. Round to the nearest tenth of a...Ch. 7.6 - Use a calculator. 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Then set up an...Ch. 7.6 - As we noted in this section, angles can also be...Ch. 7.6 - As we noted in this section, angles can also be...Ch. 7.6 - As we noted in this section, angles can also be...Ch. 7.6 - As we noted in this section, angles can also be...Ch. 7.6 - Recall that the circumference of a circle is given...Ch. 7.6 - Recall that the circumference of a circle is given...Ch. 7.6 - Convert degree measure to radian measure. Find an...Ch. 7.6 - Convert degree measure to radian measure. Find an...Ch. 7.6 - Convert degree measure to radian measure. Find an...Ch. 7.6 - Convert degree measure to radian measure. Find an...Ch. 7.6 - Convert degree measure to radian measure. Find an...Ch. 7.6 - Convert degree measure to radian measure. Find an...Ch. 7.6 - Convert radian measure to degree measure. For...Ch. 7.6 - Convert radian measure to degree measure. For...Ch. 7.6 - Convert radian measure to degree measure. For...Ch. 7.6 - Convert radian measure to degree measure. For...Ch. 7.6 - Convert radian measure to degree measure. For...Ch. 7.6 - Convert radian measure to degree measure. For...Ch. 7.7 - Place two points A and B on a paper cup so that A...Ch. 7.7 - The only geodesics of a sphere are great circles....Ch. 7.7 - Write a sentence that explains how you know that...Ch. 7.7 - Excursion Exercises 4 to 6 require a world globe...Ch. 7.7 - Excursion Exercises 4 to 6 require a world globe...Ch. 7.7 - Excursion Exercises 4 to 6 require a world globe...Ch. 7.7 - The yellow surface at the left above is called a...Ch. 7.7 - State the parallel postulate for each of the...Ch. 7.7 - Name the mathematician who is called the...Ch. 7.7 - Name the mathematician who was the first to...Ch. 7.7 - What is the maximum number of right angles a...Ch. 7.7 - What name did Lobachevsky give to the geometry...Ch. 7.7 - Explain why great circles in Riemannian geometry...Ch. 7.7 - What is a geodesic?Ch. 7.7 - In which geometry can two distinct lines be...Ch. 7.7 - What model was used in this text to illustrate...Ch. 7.7 - In which geometry do all perpendiculars to a given...Ch. 7.7 - Find the exact area of a spherical triangle with...Ch. 7.7 - Find the area of a spherical triangle with three...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - City Geometry Find the Euclidean distance between...Ch. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - A Distance Conversion Formula The following...Ch. 7.7 - Explain why there is no formula that can be used...Ch. 7.7 - a. If dE(P,Q)=dE(R,S), must dC(P,Q)=dC(R,S)?...Ch. 7.7 - Plot the points in the city circle with center...Ch. 7.7 - Plot the points in the city circle with center...Ch. 7.7 - Plot the points in the city circle with center (0,...Ch. 7.7 - Plot the points in the city circle with center (0,...Ch. 7.7 - How many points are on the city circle with center...Ch. 7.7 - Which of the following city circles has the most...Ch. 7.7 - Apartment Hunting in a City Use the following...Ch. 7.7 - Apartment Hunting in a City Use the following...Ch. 7.7 - A Finite Geometry Consider a finite geometry with...Ch. 7.7 - A Finite Geometry Consider a finite geometry with...Ch. 7.8 - Use a strip of paper and the folding procedure...Ch. 7.8 - Use the left-right rule to draw stage 2 of the...Ch. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Use the left-right rule to determine the direction...Ch. 7.8 - Use an iterative process to draw stage 2 and stage...Ch. 7.8 - Use an iterative process to draw stage 2 and stage...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Use an iterative process to draw stage 2 of the...Ch. 7.8 - Draw stage 3 and stage 4 of the fractal defined by...Ch. 7.8 - Draw stage 3 and stage 4 of the fractal defined by...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compute, if possible, the similarity dimension of...Ch. 7.8 - Compare Similarity Dimensions Rank, from largest...Ch. 7.8 - The Peano Curve The Peano curve is defined by the...Ch. 7.8 - Explain why the similarity dimension formula...Ch. 7.8 - Stage 0 and stage 1 of LĂ©vys curve (see Exercise...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - For Exercises 1 to 5, convert one measurement to...Ch. 7 - The price of a beverage is $3.56 per liter. What...Ch. 7 - Given that in ma=74 and in mb=52, find the...Ch. 7 - Triangles ABC and DEF are similar. Find the...Ch. 7 - Find the volume of the geometric solid.Ch. 7 - Find the measure of x.Ch. 7 - Find the surface area of the rectangular solid.Ch. 7 - The length of a diameter of the base of a cylinder...Ch. 7 - Given that BC=11 cm and that AB is three times the...Ch. 7 - Given that mx=150, find the measures of w and y.Ch. 7 - Find the area of a parallelogram that has a base...Ch. 7 - Find the volume of the square pyramid.Ch. 7 - Find the circumference of a circle that has a...Ch. 7 - Given that l1l2, find the measures of angles a and...Ch. 7 - Find the supplement of a 32Â° angle.Ch. 7 - Find the volume of a rectangular solid with a...Ch. 7 - Two angles of a triangle measure 37Â° and 48Â°....Ch. 7 - The height of a triangle is 7 cm. The area of the...Ch. 7 - Find the volume of a sphere that has a diameter of...Ch. 7 - Framing The perimeter of a square picture frame is...Ch. 7 - Paint A can of paint will cover 200 ft2 of...Ch. 7 - Parks and Recreation The length of a rectangular...Ch. 7 - Patios What is the area of a square patio that...Ch. 7 - Landscaping A walkway 2 m wide surrounds a...Ch. 7 - Determine whether the two triangles are congruent....Ch. 7 - Find the unknown side of the triangle. Round to...Ch. 7 - In Exercises 31 and 32, find the values of sin ,...Ch. 7 - In Exercises 31 and 32, find the values of sin ,...Ch. 7 - Use a calculator. Round to the nearest tenth of a...Ch. 7 - Use a calculator. Round to the nearest tenth of a...Ch. 7 - Use a calculator. Round to the nearest tenth of a...Ch. 7 - Use a calculator. Round to the nearest tenth of a...Ch. 7 - Surveying Find the distance across the marsh in...Ch. 7 - Angle of Depression The distance from a plane to a...Ch. 7 - Angle of Elevation The angle of elevation from a...Ch. 7 - What is another name for Riemannian geometry?Ch. 7 - What is another name for Lobachevskian geometry?Ch. 7 - Name a geometry in which the sum of the measures...Ch. 7 - Name a geometry in which there are no parallel...Ch. 7 - Determine the exact area of the spherical...Ch. 7 - Determine the exact area of the spherical...Ch. 7 - Euclidean and City Distances Find the Euclidean...Ch. 7 - Euclidean and City Distances Find the Euclidean...Ch. 7 - Euclidean and City Distances Find the Euclidean...Ch. 7 - Euclidean and City Distances Find the Euclidean...Ch. 7 - Consider the points P( 1, 1), Q(4, 5), and R(â€“4,...Ch. 7 - Draw stage 0, stage 1, and stage 2 of the Koch...Ch. 7 - Draw stage 2 of the fractal with the following...Ch. 7 - For the fractal defined in Exercise 52, determine...Ch. 7 - Compute the similarity dimension of a strictly...Ch. 7 - Find the volume of a cylinder with a height of 6 m...Ch. 7 - Find the perimeter of a rectangle that has a...Ch. 7 - Find the complement of a 32Â° angle.Ch. 7 - Find the area of a circle that has a diameter of 2...Ch. 7 - In the figure below, lines l1 and l2 are parallel....Ch. 7 - In the figure below, lines l1 and l2 are parallel....Ch. 7 - Convert: 1.2 m = ________ cm.Ch. 7 - Find the volume of the figure. Give the exact...Ch. 7 - Triangles ABC and DEF arc similar. Find side BC.Ch. 7 - A right triangle has a 40Â° angle. Find the...Ch. 7 - Find the measure of x.Ch. 7 - Find the area of the parallelogram shown below.Ch. 7 - Surveying Find the width of the canal shown in the...Ch. 7 - Pizza How much more area is in a pizza with radius...Ch. 7 - Determine whether the two triangles are congruent....Ch. 7 - For the right triangle shown below, determine the...Ch. 7 - Find the values of sin , cos , and tan for the...Ch. 7 - Angle of Elevation From a point 27 ft from the...Ch. 7 - Trees Find the cross-sectional area of a redwood...Ch. 7 - Toolbox A toolbox is 14 in. long, 9 in. wide, and...Ch. 7 - Find the speed, in meters per second, of a car...Ch. 7 - State the Euclidean parallel postulate.Ch. 7 - What is a great circle, and what formula is used...Ch. 7 - Find the area of a spherical triangle with a...Ch. 7 - City Geometry Find the Euclidean distance and the...Ch. 7 - City Geometry How many points are on the city...Ch. 7 - Draw stage 2 of the fractal with the given...Ch. 7 - Draw stage 2 of the fractal with the given...Ch. 7 - Compute the replacement ratio, scale ratio, and...Ch. 7 - Compute the replacement ratio, scale ratio, and...

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34.

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