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rodikova [14]
3 years ago
13

1. Kyle has a baseball game after school. He drives 6 miles due west from his home to school. After school, he drives 5 miles du

e north to the baseball field, as shown on the grid below What is the straight-line distance from the baseball field to Kyles home, to the nearest tenth of a mile? A. 3.3 miles B. 5.5 miles C. 7.4 miles D. 7.8 miles

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

D. 7.8 miles.

Step-by-step explanation:

So, to solve this, you need to use the Pythagorean theorem to find the distance from the baseball field to his home. You know two of the sides of the triangle formed, 6 and 5. The Pythagorean theorem is a² + b² = c². In this case, it would be 6² + 5² = c². If you solve this, you would find that c is 7.81024967591. Just round it to the nearest tenth like instructed. This would get you 7.8 as the answer.

Extra work just in case:

6² + 5² = c²

36 + 25 = c²

61 = c²

\sqrt{61} = \sqrt{c^{2} }

7.8 ≈ c

Visual just in case:

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A train heads south out of Bloomington an hour after a northbound train
ahrayia [7]

9514 1404 393

Answer:

  • northbound: 2.5 hours
  • southbound: 1.5 hours

Step-by-step explanation:

When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...

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7 0
3 years ago
Two polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is 1/
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Answer:

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Step-by-step explanation:

Given that:

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(Smaller perimeter / larger perimeter) = (smaller side / larger side)

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4 0
3 years ago
Please help me. It’s geometry
Verizon [17]

Option 3:

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m∠ECB = m∠HCB = 18°

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m∠FAB = m∠BHC

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<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>

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Option 3 is the correct answer.

4 0
3 years ago
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