Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Chapter 3.1, Problem 82E

Find each exact function value. See Example 3.

cot ( − 2 π 3 )

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Chapter 3 Solutions

Trigonometry (11th Edition)

Ch. 3.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 3.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 3.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 3.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 3.1 - CONCEPT PREVIEW Each angle is an integer (e.g.,...Ch. 3.1 - CONCEPT PREVIEW Each angle is an integer (e.g.,...Ch. 3.1 - CONCEPT PREVIEW Each angle is an integer (e.g.,...Ch. 3.1 - CONCEPT PREVIEW Each angle is an integer (e.g.,...Ch. 3.1 - CONCEPT PREVIEW Each angle is an integer (e.g.,...Ch. 3.1 - CONCEPT PREVIEW Each angle is an integer (e.g.,...
Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Prob. 20ECh. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Prob. 24ECh. 3.1 - Convert each degree measure to radians. Leave...Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each radian measure to degrees. See...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Prob. 48ECh. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Prob. 52ECh. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Convert each degree measure to radians. If...Ch. 3.1 - Prob. 56ECh. 3.1 - Convert each radian measure to degrees. Write...Ch. 3.1 - Prob. 58ECh. 3.1 - Convert each radian measure to degrees. Write...Ch. 3.1 - Prob. 60ECh. 3.1 - Convert each radian measure to degrees. Write...Ch. 3.1 - Convert each radian measure to degrees. Write...Ch. 3.1 - Convert each radian measure to degrees. Write...Ch. 3.1 - Prob. 64ECh. 3.1 - 65. Concept Check The value of sin 30 is not ½....Ch. 3.1 - Prob. 66ECh. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example 3. secCh. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example...Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Find each exact function value. See Example 3....Ch. 3.1 - Concept Check The figure shows the same angles...Ch. 3.1 - 88. Concept Check What is the exact radian measure...Ch. 3.1 - Prob. 89ECh. 3.1 - Concept Check Give an expression that generates...Ch. 3.1 - 91. Rotating Hour Hand on a Clock Through how many...Ch. 3.1 - 92. Rotating Minute Hand on a Clock Through how...Ch. 3.1 - 93. Orbits of a Space Vehicle A space vehicle is...Ch. 3.1 - Rotating Pulley A circular pulley is rotating...Ch. 3.1 - 95. Revolutions of a Carousel A stationary horse...Ch. 3.1 - 96. Railroad Engineering Some engineers use the...Ch. 3.2 - CONCEPT PREVIEW Find the exact length of each...Ch. 3.2 - CONCEPT PREVIEW Find the exact length of each arc...Ch. 3.2 - CONCEPT PREVIEW Find the radius of each circle.Ch. 3.2 - CONCEPT PREVIEW Find the radius of each circle.Ch. 3.2 - CONCEPT PREVIEW Find the measure of each central...Ch. 3.2 - CONCEPT PREVIEW Find the measure of each central...Ch. 3.2 - CONCEPT PREVIEW Find the area of each...Ch. 3.2 - CONCEPT PREVIEW Find the area of each sector. 8....Ch. 3.2 - CONCEPT PREVIEW Find the measure (in radians) of...Ch. 3.2 - CONCEPT PREVIEW Find the measure (in degrees) of...Ch. 3.2 - CONCEPT PREVIEW Find the measure (in degrees) of...Ch. 3.2 - CONCEPT PREVIEW Find the measure (in degrees) of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Find the length to three significant digits of...Ch. 3.2 - Concept Check If the radius of a circle is...Ch. 3.2 - Concept Check Radian measure simplifies many...Ch. 3.2 - Distance between Cities Find the distance in...Ch. 3.2 - Distance between Cities Find the distance in...Ch. 3.2 - Distance between Cities Find the distance in...Ch. 3.2 - Distance between Cities Find the distance in...Ch. 3.2 - Latitude of Madison Madison, South Dakota, and...Ch. 3.2 - Prob. 28ECh. 3.2 - Work each problem. See Examples 3 and 4. Gear...Ch. 3.2 - Gear Movement Repeat Exercise 29 for gear radii of...Ch. 3.2 - Rotating Wheels The rotation of the smaller wheel...Ch. 3.2 - Rotating Wheels Repeat Exercise 31 for wheel radii...Ch. 3.2 - Rotating Wheels Find the radius of the larger...Ch. 3.2 - Prob. 34ECh. 3.2 - Pulley Raising a Weight Refer to the figure. (a)...Ch. 3.2 - 36. Pulley Raising a Weight Find the radius of...Ch. 3.2 - Bicycle Chain Drive The figure shows the chain...Ch. 3.2 - Car Speedometer The speedometer of Terrys Honda...Ch. 3.2 - Suppose the tip of the minute hand of a clock is...Ch. 3.2 - Suppose the tip of the minute hand of a clock is...Ch. 3.2 - Suppose the tip of the minute hand of a clock is...Ch. 3.2 - Suppose the tip of the minute hand of a clock is 3...Ch. 3.2 - If a central angle is very small, there is little...Ch. 3.2 - 44. Repeat Exercise 43 for a railroad track 2.7 mi...Ch. 3.2 - 45. Distance to a Boat The mast of a boat is 32.0...Ch. 3.2 - Repeat Exercise 45 for a boat mast 11.0m high the...Ch. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Prob. 50ECh. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Find the area of a sector of a circle having...Ch. 3.2 - Angle Measure Find the measure (in radians) of a...Ch. 3.2 - 56. Radius Length Find the radius of a circle in...Ch. 3.2 - 57. Irrigation Area A center-pivot irrigation...Ch. 3.2 - Irrigation Area Suppose that in Exercise 57 the...Ch. 3.2 - 59. Arc Length A circular sector has an area of...Ch. 3.2 - 60. Angle Measure In a circle, a sector has an...Ch. 3.2 - 61. Measures of a Structure The figure...Ch. 3.2 - Area Cleaned by a Windshield Wiper The Ford Model...Ch. 3.2 - 63. Circular Railroad Curves In the United...Ch. 3.2 - Land Required for a Solar-Power Plant A...Ch. 3.2 - 65. Area of a Lot A frequent problem in surveying...Ch. 3.2 - Nautical Miles Nautical miles are used by ships...Ch. 3.2 - Prob. 67ECh. 3.2 - 68. Longitude Longitude is the angular distance...Ch. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Prob. 71ECh. 3.2 - Prob. 72ECh. 3.2 - Prob. 73ECh. 3.2 - Prob. 74ECh. 3.2 - Prob. 75ECh. 3.2 - Prob. 76ECh. 3.3 - CONCEPT PREVIEW Fill in the blanks to complete...Ch. 3.3 - Prob. 2ECh. 3.3 - CONCEPT PREVIEW Fill in the blanks to complete the...Ch. 3.3 - Prob. 4ECh. 3.3 - CONCEPT PREVIEW Fill in the blanks to complete...Ch. 3.3 - Prob. 6ECh. 3.3 - CONCEPT PREVIEW Each figure shows an angle θ in...Ch. 3.3 - CONCEPT PREVIEW Each figure shows an angle θ in...Ch. 3.3 - CONCEPT PREVIEW Each figure shows an angle in...Ch. 3.3 - Prob. 10ECh. 3.3 - Find the exact values of (a) sin s, (b) cos s,...Ch. 3.3 - Find the exact values of (a) sin s, (b) cos s,...Ch. 3.3 - Find the exact values of (a) sin s, (b) cos s, and...Ch. 3.3 - Prob. 14ECh. 3.3 - Find the exact values of (a) sin s, (b) cos s, and...Ch. 3.3 - Find the exact values of (a) sin s, (b) cos s,...Ch. 3.3 - Find each exact function value. See Example 2. 17....Ch. 3.3 - Find each exact function value. See Example 2. cos...Ch. 3.3 - Find each exact function value. See Example 2. 19....Ch. 3.3 - Find each exact function value. See Example 2. 20....Ch. 3.3 - Find each exact function value. See Example 2. csc...Ch. 3.3 - Find each exact function value. See Example 2. cot...Ch. 3.3 - Find each exact function value. See Example 2. cos...Ch. 3.3 - Find each exact function value. See Example...Ch. 3.3 - Find each exact function value. See Example...Ch. 3.3 - Find each exact function value. See Example...Ch. 3.3 - Find each exact function value. See Example 2. sin...Ch. 3.3 - Find each exact function value. See Example 2. sin...Ch. 3.3 - Find each exact function value. See Example...Ch. 3.3 - Find each exact function value. See Example 2. csc...Ch. 3.3 - Find each exact function value. See Example 2. tan...Ch. 3.3 - Prob. 32ECh. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Prob. 34ECh. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Prob. 36ECh. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Prob. 38ECh. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Find a calculator approximation to four decimal...Ch. 3.3 - Prob. 44ECh. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Prob. 46ECh. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Prob. 50ECh. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Concept Check The figure displays a unit circle...Ch. 3.3 - Concept Check Without using a calculator, decide...Ch. 3.3 - Concept Check Without using a calculator, decide...Ch. 3.3 - Concept Check Without using a calculator, decide...Ch. 3.3 - Concept Check Without using a calculator, decide...Ch. 3.3 - Prob. 59ECh. 3.3 - Concept Check Without using a calculator, decide...Ch. 3.3 - Find the approximate value of s, to four decimal...Ch. 3.3 - Find the approximate value of s, to four decimal...Ch. 3.3 - Find the approximate value of s, to four decimal...Ch. 3.3 - Find the approximate value of s, to four decimal...Ch. 3.3 - Find the approximate value of s, to four decimal...Ch. 3.3 - Find the approximate value of s, to four decimal...Ch. 3.3 - Find the exact value of s in the given interval...Ch. 3.3 - Find the exact value of s in the given interval...Ch. 3.3 - Find the exact value of s in the given interval...Ch. 3.3 - Find the exact value of s in the given interval...Ch. 3.3 - Find the exact value of s in the given interval...Ch. 3.3 - Find the exact value of s in the given interval...Ch. 3.3 - Find the exact values of s in the given interval...Ch. 3.3 - Find the exact values of s in the given interval...Ch. 3.3 - Find the exact values of s in the given interval...Ch. 3.3 - Find the exact values of s in the given interval...Ch. 3.3 - Find the exact values of s in the given interval...Ch. 3.3 - Find the exact values of s in the given interval...Ch. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.3 - Prob. 81ECh. 3.3 - Prob. 82ECh. 3.3 - Concept Check For each value of s, use a...Ch. 3.3 - Prob. 84ECh. 3.3 - Concept Check For each value of s, use a...Ch. 3.3 - Prob. 86ECh. 3.3 - Prob. 87ECh. 3.3 - Prob. 88ECh. 3.3 - (Modeling) Solve each problem See Example 5. 89....Ch. 3.3 - Length of a Day The number of daylight hours H at...Ch. 3.3 - Maximum Temperatures Because the values of the...Ch. 3.3 - Temperature in Fairbanks Suppose the temperature...Ch. 3.3 - Prob. 93ECh. 3.3 - Prob. 94ECh. 3.3 - Prob. 1QCh. 3.3 - Convert each degree measure to radians. 2. –330° Ch. 3.3 - Prob. 3QCh. 3.3 - Prob. 4QCh. 3.3 - Prob. 5QCh. 3.3 - A central angle of a circle with radius 300 in....Ch. 3.3 - Prob. 7QCh. 3.3 - Find each exact circular function value. sin -56Ch. 3.3 - Find each exact circular function value. 9. tan...Ch. 3.3 - Prob. 10QCh. 3.4 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 3.4 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 3.4 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 3.4 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 3.4 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 3.4 - CONCEPT PREVIEW Fill in the blank to correctly...Ch. 3.4 - Suppose that point P is on a circle with radius r,...Ch. 3.4 - Suppose that point P is on a circle with radius r,...Ch. 3.4 - Suppose that point P is on a circle with radius r,...Ch. 3.4 - Suppose that point P is on a circle with radius...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula ω = to find the value of the...Ch. 3.4 - Use the formula ω = to find the value of the...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula ω = to find the value of the...Ch. 3.4 - Use the formula = t to find the value of the...Ch. 3.4 - Use the formula v = r to find the value of the...Ch. 3.4 - Use the formula v = rω to find the value of the...Ch. 3.4 - Use the formula v = rω to find the value of the...Ch. 3.4 - Use the formula v = rω to find the value of the...Ch. 3.4 - Use the formula v = rω to find the value of the...Ch. 3.4 - Use the formula v = r to find the value of the...Ch. 3.4 - The formula =t can be rewritten as = t....Ch. 3.4 - The formula =t can be rewritten as = t....Ch. 3.4 - The formula can be rewritten as θ = ωt....Ch. 3.4 - The formula can be rewritten as θ = ωt....Ch. 3.4 - The formula can be rewritten as θ = ωt....Ch. 3.4 - Prob. 32ECh. 3.4 - Find the angular speed for each of the following....Ch. 3.4 - Find the angular speed for each of the following....Ch. 3.4 - Find the angular speed for each of the following....Ch. 3.4 - Find the angular speed for each of the following....Ch. 3.4 - Find the linear speed v for each of the...Ch. 3.4 - Find the linear speed v for each of the...Ch. 3.4 - Find the linear speed v for each of the following....Ch. 3.4 - Find the linear speed v for each of the following....Ch. 3.4 - Find the linear speed v for each of the...Ch. 3.4 - Find the linear speed v for each of the...Ch. 3.4 - Speed of a Bicycle The tires of a bicycle have...Ch. 3.4 - Hours in a Martian Day Mars rotates on its axis at...Ch. 3.4 - Angular and Linear Speeds of Earth The orbit of...Ch. 3.4 - 46. Angular and Linear Speeds of Earth Earth...Ch. 3.4 - Speeds of a Pulley and a Belt The pulley shown has...Ch. 3.4 - Angular Speeds of Pulleys The two pulleys in the...Ch. 3.4 - Radius of a Spool of Thread A thread is being...Ch. 3.4 - Prob. 50ECh. 3.4 - 51. Angular Speed of a Motor Propeller The...Ch. 3.4 - Linear Speed of a Golf Club The shoulder joint can...Ch. 3 - 1. What is the meaning of “an angle with measure 2...Ch. 3 - Consider each angle in standard position having...Ch. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Convert each degree measure to radians. Leave...Ch. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Convert each degree measure to radians. Leave...Ch. 3 - Convert each radian measure to degrees. 54Ch. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - 21. Arc Length The radius of a circle is 15.2...Ch. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - 24. Angle Measure Find the measure (in radians) of...Ch. 3 - Area of a Sector Find the area of a sector of a...Ch. 3 - Area of a Sector A central angle of 74 radians...Ch. 3 - Diameter of the Moon The distance to the moon is...Ch. 3 - 28. Concept Check Using s = r θ and A = , express...Ch. 3 - Prob. 29RECh. 3 - 30. Concept Check What would happen to the central...Ch. 3 - Distance between Cities Assume that the radius of...Ch. 3 - 32. Two cities on the equator have longitudes of...Ch. 3 - Prob. 33RECh. 3 - Concept Check Find the measure of each central...Ch. 3 - Find each exact function value. tan3Ch. 3 - Find each exact function value. 36. Ch. 3 - Prob. 37RECh. 3 - Find each exact function value. tan(73)Ch. 3 - Find each exact function value. csc(116)Ch. 3 - Find each exact function value. cot(13)Ch. 3 - Prob. 41RECh. 3 - Concept Check Without using a calculator,...Ch. 3 - Concept Check Without using a calculator,...Ch. 3 - Concept Check Match each domain in Column II with...Ch. 3 - Find a calculator approximation to four decimal...Ch. 3 - Find a calculator approximation to four decimal...Ch. 3 - Prob. 47RECh. 3 - Find a calculator approximation to four decimal...Ch. 3 - Find a calculator approximation to four decimal...Ch. 3 - Find a calculator approximation to four decimal...Ch. 3 - Find the approximate value of s, to four decimal...Ch. 3 - Find the approximate value of s, to four decimal...Ch. 3 - Prob. 53RECh. 3 - Find the approximate value of s. to four decimal...Ch. 3 - Find the approximate value of s, to four decimal...Ch. 3 - Find the approximate value of s, to four decimal...Ch. 3 - Prob. 57RECh. 3 - Find the exact value of s in the given interval...Ch. 3 - Find the exact value of s in the given interval...Ch. 3 - Find the exact value of s in the given interval...Ch. 3 - Suppose that point P is on a circle with radius...Ch. 3 - Suppose that point P is on a circle with radius...Ch. 3 - 63. Linear Speed of a Flywheel Find the linear...Ch. 3 - Angular Speed of a Ferris Wheel A Ferris wheel has...Ch. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Convert each degree measure to radians. 1200Ch. 3 - Convert each degree measure to radians. - 450Ch. 3 - Convert each degree measure to radians. 3. 5° (to...Ch. 3 - Convert each radian measure to degrees. 34Ch. 3 - Convert each radian measure to degrees. 5. Ch. 3 - Convert each radian measure to degrees. 6. 4(to...Ch. 3 - 7. A central angle of a circle with radius 150 cm...Ch. 3 - 8. Rotation of Gas Gauge Arrow The arrow on a...Ch. 3 - Find each exact function value. 9. Ch. 3 - Prob. 10TCh. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - 15. Determine the six exact circular function...Ch. 3 - 16. Give the domains of the six circular...Ch. 3 - 17. (a) Use a calculator to approximate s in the...Ch. 3 - Prob. 18TCh. 3 - Orbital Speed of Jupiter It takes Jupiter 11.86 yr...Ch. 3 - Ferris Wheel A Ferris wheel has radius 50.0 ft. A...
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