Question

1. Determine two coterminal angles (one positive and one negative) for each angle. Give your answers...

1. Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answers as a comma-separated list.)

(a) 5π 6

(b) − 7π 3

2. Convert the degree measure to radian measure. Round to three decimal places.

75°    radians

3. Convert each angle measure to decimal degree form.

(a)    52° 45'

°

(b)    −134° 30'

°

4.Find the length of the arc on a circle of radius r intercepted by a central angle θ. (Round your answer to two decimal places.)

Radius r      Central Angle θ
12 inches    300°

------------------ in

5. A carousel with a 50-foot diameter makes 3 revolutions per minute.

(a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.)
radians-------- per minute

(b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)
feet --------per minute

6. A car is moving at a rate of 55 miles per hour, and the diameter of its wheels is 1.8 feet. (Round your answers to three decimal places.)

(a) Find the number of revolutions per minute the wheels are rotating.
revolutions --------per minute

(b) Find the angular speed of the wheels in radians per minute.

Please help me with this problems.
radians -------per minute

Math   Precalculus   
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