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Leno4ka [110]
3 years ago
6

A tire travels about 75 inches in one full rotation. What is the Demeter of the tire, to the nearest inch?

Mathematics
2 answers:
Gnesinka [82]3 years ago
5 0

Answer:

\boxed {\boxed {\sf 24  \ inches}}}

Step-by-step explanation:

We want to find the diameter of the tire given the distance traveled in 1 full rotation.

The circumference of a circle is the distance all the way around. If a wheel or tire makes 1 full rotation, the distance traveled is equal to the circumference.

The circumference is the product of pi and the diameter.

c=\pi \times d

We know the circumference (distance traveled in 1 full rotation) is 75 inches. We can substitute this value for c.

75 \ in =\pi \times d

We want to find the diameter, so the variable must be isolated. It is being multiplied by pi. The inverse of multiplication is division, so we divide both sides by pi.

\frac {75 \ in}{\pi}= \frac{\pi \times d}{\pi}

\frac {75 \ in}{\pi}=d

23.8732415 \ in=d

Round to the nearest inch. The 8 in the tenths place tells us to round the 3 up to a 4.

24 \ in \approx d

The diameter of the tire is approximately <u>24 inches.</u>

adelina 88 [10]3 years ago
3 0

Answer:

<h2>24 inches</h2>

Step-by-step explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches

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