Question

1. convert the measuring units as indicated.

a. 72 in = ______ ft
b. 4 mi = ______ ft
c. 30 ft = ______ yd
d. 10 560 ft = ______ mi
e. 9 ft = ______ in
f. 7 yd = ______ in

Explanation:

Part a

Step1: Recall the conversion factor

We know that \( 1\) foot (\( \text{ft} \)) is equal to \( 12\) inches (\( \text{in} \)), so the conversion factor from inches to feet is \( \frac{1\ \text{ft}}{12\ \text{in}} \).

Step2: Perform the conversion

To convert \( 72\ \text{in} \) to feet, we multiply by the conversion factor: \( 72\ \text{in} \times \frac{1\ \text{ft}}{12\ \text{in}}=\frac{72}{12}\ \text{ft} = 6\ \text{ft} \).

Step1: Recall the conversion factor

We know that \( 1\) mile (\( \text{mi} \)) is equal to \( 5280\) feet (\( \text{ft} \)), so the conversion factor from miles to feet is \( 5280\ \text{ft/mi} \).

Step2: Perform the conversion

To convert \( 4\ \text{mi} \) to feet, we multiply by the conversion factor: \( 4\ \text{mi} \times5280\ \text{ft/mi} = 21120\ \text{ft} \).

Step1: Recall the conversion factor

We know that \( 1\) yard (\( \text{yd} \)) is equal to \( 3\) feet (\( \text{ft} \)), so the conversion factor from feet to yards is \( \frac{1\ \text{yd}}{3\ \text{ft}} \).

Step2: Perform the conversion

To convert \( 30\ \text{ft} \) to yards, we multiply by the conversion factor: \( 30\ \text{ft} \times\frac{1\ \text{yd}}{3\ \text{ft}}=\frac{30}{3}\ \text{yd}=10\ \text{yd} \).

Answer:

\( 6 \)

Part b