A board is 24 ft. long and is cut into two parts. If one piece is twice the length of the other, find he length of both pieces.
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Answer:
Step-by-step explanation:
<u>Complete Question:</u>
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?
<u>Solution:</u>
First Swing:
24 m
Second Swing:
Half of first, so
24(1/2)
Third Swing:
Half of second, so:
24(1/2)(1/2)
Fourth Swing:
24(1/2)(1/2)(1/2)
So we see the general formula as:
<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1
where n is the number of swings