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!
A clock has sixty minutes for every one rotation. One full rotation has 360°. Knowing this, we can set up a ratio: [tex] \frac{60min}{360} = \frac{6min}{36} = \frac{1min}{6} [/tex] So, for every 1 minute, a clock hand moves 6°.
Next, all we have to do is multiply the number of minutes by 6°: [tex]9min*6degrees=54degrees \\ 35min*6degrees= 210degrees \\ 45min*6degrees=270degrees[/tex]
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°