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A car odometer works by counting the number of revolutions in the tires. The car tires have a 13-inch radius. It goes 675,135 tire revolutions in a month. The distance traveled in that month is ___ miles.

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Eduard22sly

The distance travelled in that month is 870.92 miles

How to determine the circumferene of the tyre

We'll begin by calculating the circumference of the tyre. This can be obatined as follow:

  • Radius (r) = 13 in
  • Pi (π) = 3.14
  • Circumference (C) =?

C = 2πr

C = 2 × 3.14 × 13

C = 81.64 in

How to convert 81.64 inches to mile

63360 inches = 1 mile

Therefore,

81.64 inches = (81.64 inches × 1 mile) / 63360 inches

81.64 inches = 0.00129 mile

How to determine the distance travelled

  • Circumference of tyre (C) = 0.00129 mile
  • Number of revolution (n) = 675135 tire revolutions
  • Distance (d) = ?

Distance = number × circumference

Distance = 0.00129 × 675135

Distance = 870.92 miles

Thus, the distance travelled in that month is 870.92 miles

Learn more about revolutions of tyre:

https://brainly.com/question/23298088

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