Problem

City workers are using a snowplow to clear a street. A tire on the snowplow is $1.7 \mathrm{~m}$ in diameter and has to turn 31 times in traveling the length of the street. How long is the street?
Use the value 3.14 for $\pi$. Round your answer to the nearest tenth. Do not round any intermediate steps.
$\square \mathrm{m}$
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\times \quad S
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Answer

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Answer

Final Answer: The length of the street is \(\boxed{165.6}\) meters.

Steps

Step 1 :Given that the diameter of the tire is 1.7 m and it rotates 31 times to travel the length of the street.

Step 2 :The distance a wheel travels in one rotation is equal to its circumference. The formula for the circumference of a circle is \(C = \pi d\), where \(d\) is the diameter of the circle.

Step 3 :Substitute the given values into the formula to find the circumference: \(C = \pi \times 1.7\) m.

Step 4 :Since the tire rotates 31 times to travel the length of the street, the length of the street is \(31 \times C\).

Step 5 :Calculate the length of the street to get the final answer.

Step 6 :Final Answer: The length of the street is \(\boxed{165.6}\) meters.

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