Question
5. [-/4.54 Points] DETAILS MY NOTES AUFQR2 3.2.002. Convert between the two measurements. \( 10,032 \mathrm{ft}= \) mi \( \square \mathrm{mi} \)
Ask by Deleon O'Quinn. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(10,\!032 \text{ ft} = 1.9 \text{ mi}\)
Solution
1. The conversion factor between feet and miles is:
\[
1\text{ mi} = 5280\text{ ft}
\]
2. To convert \(10,\!032 \text{ ft}\) to miles, we divide by \(5280\):
\[
10,\!032\text{ ft} \div 5280\text{ ft/mi} = \frac{10,\!032}{5280}\text{ mi}
\]
3. Notice that:
\[
5280 \times 1.9 = 10,\!032
\]
Thus:
\[
\frac{10,\!032}{5280} = 1.9\text{ mi}
\]
4. Therefore, the conversion is:
\[
10,\!032\text{ ft} = 1.9\text{ mi}
\]
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Simplify this solution Beyond the Answer
To convert feet to miles, remember that there are 5,280 feet in a mile. So, to convert 10,032 feet to miles, simply divide 10,032 by 5,280. This gives you approximately 1.897 miles. When converting units, it's easy to make mistakes with zeros or miscalculating division. A handy tip is to simplify the numbers if you can, or use a calculator for accuracy. Also, double-check to ensure you're using the right conversion factor – it’s a common oversight!
