$\text{The minute hand of a clock is 9 inches long.}\\
\text{we need to find the distance traveled by the tip of the minute }\\
\text{hand moved in 40 minutes.}$

$\text{That is we need to find the length of the arc formed by the minute}\\
\text{hand in 40 minutes. We know that in one complete revolution of the}\\
\text{minute hand there are 60 minutes. so the central angle formed by the }\\
\text{minute hand in 40 minutes is}=\frac{40}{60}*2\pi =\frac{4\pi}{3} \text{ radians}\\
\\
\text{hence using the arc length formula, }s=r\theta, \text{ we get}\\
\\
\text{distance traveled by the tip}=9\times \frac{4\pi}{3}=12\pi\approx 37.7 \text{ inches}$

Hence the tip of the minute hand moved approximately 37.7 inches in 40 minutes.

5 0

3 years ago

Giving out brainliest answer !!!! help me out asap please !!!!

zaharov [31]

Answer would be: 201.7 degrees, Hope this helps :)

8 0

3 years ago

If it takes 90 minutes to wait in line to purchase 12 eggs, how many eggs could you purchase if you waited 120 minutes?

AlekseyPX

Answer:

16 eggs

Step-by-step explanation:

we know that

it takes 90 minutes to wait in line to purchase 12 eggs

using proportion

Find out how many eggs could you purchase if you waited 120 minutes

$\frac{90\ min}{12\ eggs}=\frac{120\ min}{x\ eggs}\\\\x=12(120)/90\\\\x= 16\ eggs$

8 0

4 years ago