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Tems11 [23]
2 years ago
9

The double number lines show the ratio of feet to miles.

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

  • 15840 feet

Step-by-step explanation:

  • 10560 feet ⇒  2 miles
  • 10560/2 feet ⇒ 2/2 miles         Divide both by 2 to find the unit ratio
  • 5280 feet ⇒ 1 mile
  • 5280*3 feet ⇒ 1*3 miles           Triple both to find required number
  • 15840 feet ⇒ 3 miles
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Answer:

  96 yards

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The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

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<em>Additional comment</em>

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.

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I need help with this PLEASE
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