sotoalexandria sotoalexandria
  • 23-08-2020
  • Mathematics
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What is the degree measure of an arc 471 ft. long in a circle of radius 10 ft.?

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Аноним Аноним
  • 23-08-2020

Answer:

2700°

Step-by-step explanation:

[tex]Length = 471\:ft\\radius = 10\:ft\\\\L = \frac{\alpha }{360} \times 2\pi r\\\\471 = \frac{x}{360} \times 2 \times 3.14 \times 10\\ \\471 = \frac{x}{360 } \times 62.8\\Cross\:Multiply\\\\471 \times 360 = 62.8x\\169560 = 62.8x \\\\\frac{169560}{62.8} = \frac{62.8x}{62.8} \\\\2700\° = x[/tex]

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