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suppose that eight terms of a wire are wrapped around a pipe with a length of 60 in and a circumference of 4 inches so that the word reaches from the bottom of the pipe to the top what is the length of the wire the question is the wire is how many inches long

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The length of the wire is the length of the hypotenuse of a triangle with one leg 60 inches and the other leg 8*4 in = 32 inches.

√(60² +32²) = √4624 = 68

The wire is 68 inches long.

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Consider what happens if you wrap a paper triangle of those dimensions around the pipe. The hypotenuse edge traces the path of the wire.
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