MATH SOLVE

4 months ago

Q:
# A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. How much has the polygonrotated after 7 minutes?142135

Accepted Solution

A:

In 7 minutes, the clock has rotated 42 degreesSolution:Given, A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. As there will be 60 minutes in clock, and this clock has 60 sides, each minute represents a side. Now we know that, in a clock, 1 hour = 60 minutes60 minutes = 360 degreesThen, 7 minutes = “n” degreesSo, by criss cross multiplication,[tex]\begin{array}{l}{n \times 60=360 \times 7} \\\\ {\rightarrow n=6 \times 7} \\\\ {\rightarrow n=42}\end{array}[/tex]Hence, in 7 minutes, the clock has rotated 42 degrees