Question

Hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during each time interval?
9 min
35 min
45 min
Please explain i need help!

Answer 1

A clock has sixty minutes for every one rotation. One full rotation has 360°. Knowing this, we can set up a ratio:
$\frac{60min}{360} = \frac{6min}{36} = \frac{1min}{6}$
So, for every 1 minute, a clock hand moves 6°.

Next, all we have to do is multiply the number of minutes by 6°:
$9min*6degrees=54degrees \\ 35min*6degrees= 210degrees \\ 45min*6degrees=270degrees$

So:
In 9 minutes, a clock-hand moves 54°
In 35 minutes, a clock-hand moves 210°
In 45 minutes, a clock-hand moves 270°

Hope this helps!