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lara [203]
3 years ago
9

2. A coffee shop sign is in the shape of a circle. The sign measures 18 inches across

Mathematics
1 answer:
Katen [24]3 years ago
3 0

Answer:J

Step-by-step explanation:

Area= pi times radios squared

3.14 times 9 squared

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A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same
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The length of the wire is 37.15 ft

<u>Explanation:</u>

The figure is attached for the reference.

tan (71) = \frac{y}{x}

tan (36) = \frac{y}{36+x}

So,

tan(36) (36 + x) = y

tan(71) = \frac{tan (36) (36 + x )}{x}

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Substituting x = 12.11 ft in equation 1:

tan (71) = \frac{y}{12.11} \\\\2.9 X 12.11 = y\\\\y = 35.119 ft

Length of the wire, z = \sqrt{x^2 + y^2}

So,

z = \sqrt{(12.11)^2 + (35.119)^2} \\\\z = \sqrt{146.6521 + 1233.3442} \\\\z = 37.15 ft

Therefore, the length of the wire is 37.15 ft

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