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HELPPPPPP PLEASE Jerrod's mountain bike has a tire diameter of 26 inches, How far will the

bike travel in 100 rotations of its tires?

User Kzg
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2 Answers

7 votes

Final answer:

To find the distance Jerrod's bike will travel in 100 rotations, calculate the tire's circumference and then multiply by the number of rotations, resulting in 680 feet traveled.

Step-by-step explanation:

To calculate the distance Jerrod's mountain bike will travel in 100 rotations of its tires, we can use the formula for the circumference of a circle (C = πd), where 'd' is the diameter of the tire. Jerrod's bike has a tire diameter of 26 inches.

First, we find the circumference of one tire:

C = πd

C = π × 26 inches

C = 81.68 inches (assuming π is approximately 3.14)

Next, we multiply the circumference by the number of rotations to find the total distance traveled:

Distance = C × number of rotations

Distance = 81.68 inches × 100

Distance = 8168 inches

Now, if we want the distance in feet, we convert inches to feet (there are 12 inches in a foot):

Distance in feet = 8168 inches × (1 foot / 12 inches)

Distance in feet = 680 feet

Therefore, Jerrod's bike will travel 680 feet in 100 rotations of its tires.

User Jbwharris
by
4.5k points
3 votes

Answer:

Step-by-step explanation:

The process here is to find out how far the tire travels in one rotation, then multiply that by 100. That means we need to find the circumference of the tire since the circumference tells us how far around the outside of the tire it is in inches.

C = πd where d is the diameter of the tire.

C = 3.1415(26) so

C = 81.679 inches. Multiply that by 100 to get

8167.9 inches, which in miles is a little over 1.5 miles

User Yoav Kadosh
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5.1k points