Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

required information a mile is 5280 ft long, and a foot is approximatel…

Question

required information a mile is 5280 ft long, and a foot is approximately 0.305 m. note: this is a multi - part question. once an answer is submitted, you will be unable to return to this part. how many kilometers (km) are there in a mile? one mile equals \boxed{} km.

Explanation:

Step1: Convert miles to feet

We know 1 mile = 5280 ft. So we start with the number of feet in a mile.

Step2: Convert feet to meters

Since 1 foot = 0.305 m, we multiply the number of feet in a mile by the conversion factor for feet to meters. So, \(5280 \text{ ft} \times 0.305 \frac{\text{m}}{\text{ft}}\)
Calculating that: \(5280\times0.305 = 1609.4\) meters.

Step3: Convert meters to kilometers

We know that 1 km = 1000 m, so to convert meters to kilometers, we divide by 1000. So, \(\frac{1609.4 \text{ m}}{1000 \frac{\text{m}}{\text{km}}}\)
Which gives \(1.6094\) km.

Answer:

\(1.6094\)