Question

use dimensional analysis to convert the quantity to the indicated units. 33 in. to yd 12 inches (in.) = 1 foot (ft) 3 feet = 1 yard (yd) 36 inches = 1 yard 5280 feet = 1 mile (mi) \boxed{} yd (round to the nearest hundredth as needed.)

Explanation:

Step1: Identify conversion factor

We know that 36 inches = 1 yard, so the conversion factor is $\frac{1\ \text{yd}}{36\ \text{in}}$.

Step2: Multiply by conversion factor

Multiply 33 inches by the conversion factor: $33\ \text{in} \times \frac{1\ \text{yd}}{36\ \text{in}}$.
The 'in' units cancel out, leaving $\frac{33}{36}\ \text{yd}$.

Step3: Simplify the fraction

Simplify $\frac{33}{36}$ to $\frac{11}{12} \approx 0.9167$.

Step4: Round to nearest hundredth

Rounding 0.9167 to the nearest hundredth gives 0.92.

Answer:

0.92