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A bicycle tire has a radius of 13 1/4 inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest tenth.

A bicycle tire has a radius of 13 14 inches How far will the bicycle travel in 40 rotations of the tire Round to the nearest tenth class=

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Answer:

the bicycle will travel 277.5 feet or 3,330.1 inches.

Step-by-step explanation:

the circumference(distance around a tire) is calculated by multiplying a circles diameter by pi. the diameter is twice the length of the radius.

so if you multiply 13 1/4 by 2 you get 26 1.5 if you multiply that by pi than you get the circumference. then multiply this by 40 to get the inches traveled and divide that by 12 to get the number of feet traveled.

boffeemadrid

The distance traveled by the tire in 40 rotations is required.

The tire will travel 3330.1 inches.

r = Radius of wheel = [tex]13\dfrac{1}{4}=13.25\ \text{in}[/tex]

The circumference of the tire is the distance traveled in one rotation

Circumference of circle is given by

[tex]c=2\pi r=2\pi13.25\\\Rightarrow c=26.5\pi\ \text{in}[/tex]

For 40 rotations

[tex]40c=40\times 26.5\pi=3330.08\approx 3330.1\ \text{in}[/tex]

Learn more:

https://brainly.com/question/10921927?referrer=searchResults

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