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Animallover100
13.04.2020 •
Mathematics
A mountain bike tire completes 40 revolutions and travels 272 feet. Rounded to the nearest inch, what is the diameter of the bike's tire? Use 3.14 for pi.
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Ответ:
Explanation:
When the tire does not slip, each revolution means that the bike advance a distance equal to the circumference of the tire.
Thus, when 40 revolutions are completed, the bike will advance a distance equal to 40 times the circumference of the bike:
distance = 40 × circumferenceThe circumference is equal to:
circumference = 2π × radiusUsing π = 3.14:
272 feet = 40 × 2 × 3.14 × radiusradius = 1.0828 feetdiameter = 2 × radius = 2.1656 feetConvert to inches: 1 feet = 12 inches:
diameter = 2.1656 feet × 12 inches/feet = 25.9872 inches ≈ 26inchesОтвет: