A car tire has a diameter of 70 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates 0 radians. Assume to be positive and consider only its magnitude. (So, its position on the circle is not relevant.) Assume also that the distance x is positive. x (a) Find as a function of x. Use exact values in the formula, not decimal approximations. 0(x) = (b) If the car rolls forward 44 cm, what is the angle that the tire rotates (in degrees)? Round your answer to the nearest tenth of a degree. 0=0° DO x e G

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
Question
A car tire has a diameter of 70 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates 0 radians.
Assume to be positive and consider only its magnitude. (So, its position on the circle is not relevant.) Assume also that the distance x is positive.
x
(a) Find as a function of x. Use exact values in the formula, not decimal approximations.
0(x) =
(b) If the car rolls forward 44 cm, what is the angle that the tire rotates (in degrees)? Round your answer to the nearest
tenth of a degree.
0=0°
DO
x
e
G
Transcribed Image Text:A car tire has a diameter of 70 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates 0 radians. Assume to be positive and consider only its magnitude. (So, its position on the circle is not relevant.) Assume also that the distance x is positive. x (a) Find as a function of x. Use exact values in the formula, not decimal approximations. 0(x) = (b) If the car rolls forward 44 cm, what is the angle that the tire rotates (in degrees)? Round your answer to the nearest tenth of a degree. 0=0° DO x e G
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