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miss Akunina [59]
3 years ago
7

A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. How much has the polygon

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

In 7 minutes, the clock has rotated 42 degrees

<u>Solution:</u>

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 minutes

60 minutes = 360 degrees

Then, 7 minutes = “n” degrees

So, by criss cross multiplication,

\begin{array}{l}{n \times 60=360 \times 7} \\\\ {\rightarrow n=6 \times 7} \\\\ {\rightarrow n=42}\end{array}

Hence, in 7 minutes, the clock has rotated 42 degrees

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