Question

do not just put these problems in your calculator!!! you want to be able to write these problems out using dimensional analysis! 1.) 5.2 min = seconds (1 point) 310 s.087 s 2.) 2.89 yd = feet (1 point) 8.67 ft 0.963 ft 3.) 4.09 oz = pound (1 point) 0.256 oz 65.4 oz 4.) 32,558 in = feet (1 point) 2713.2 ft 390,696 ft 5.) 2.2 years = seconds (1 point) 7×10^7 sec 6.9×10^7 sec

Explanation:

Step1: Recall conversion factor for minutes to seconds

1 minute = 60 seconds. So for 5.2 min, we multiply by 60: $5.2\times60 = 312$ s. But the closest option is based on correct - factor use.

Step2: Recall conversion factor for yards to feet

1 yard = 3 feet. For 2.89 yd, we calculate $2.89\times3=8.67$ ft.

Step3: Recall conversion factor for ounces to pounds

1 pound = 16 ounces. For 4.09 oz, we divide by 16: $4.09\div16 = 0.255625\approx0.256$ lb.

Step4: Recall conversion factor for inches to feet

1 foot = 12 inches. For 32558 in, we divide by 12: $32558\div12 = 2713.166\cdots\approx2713.2$ ft.

Step5: Recall conversion factors for years to seconds

1 year = 365 days, 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds. So for 2.2 years:
\[

$$\begin{align*} 2.2\times365\times24\times60\times60&=2.2\times365\times86400\\ &=2.2\times31536000\\ & = 69379200\approx6.9\times 10^{7}\text{ s} \end{align*}$$

\]

Answer:

1. 310 s (closest option to correct value)
2. 8.67 ft
3. 0.256 oz (should be lb but closest option)
4. 2713.2 ft
5. $6.9\times 10^{7}$ sec