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WITCHER [35]
3 years ago
9

Cora takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 15 i

nches long and 8 inches wide, how long is the diagonal cut that Cora made? (This is pythagorean theorem btw)
​
Mathematics
1 answer:
Bogdan [553]3 years ago
7 0
Answer: 17 inches

Explanation: so we have a triangle with the two side lengths 8 and 15 and we’re trying to find the hypotenuse. so using the pythagorean theorem, we have 8^2 + 15^2 = c^2. when we solve we get 64 + 225 = c^2, which is 289 = c^2. next, we find the square root of both sides and c = 17 inches.

hope this helped!
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Tatiana [17]
The answer would be B. All you would do is subtract 6.4 - 2.06 and you would annex a zero after the four. Then you would get 4.34
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2 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
  • r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0
2 years ago
What is 2+5-71=I need help with that
Alex787 [66]
2+5-71
7-71
-64
answer is -64
6 0
3 years ago
Please help!!! I need anybody help who knows the answer.
Tpy6a [65]

Your answer should be C sorry if i'm wrong, hope it helps tho

4 0
2 years ago
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7 0
3 years ago
Read 2 more answers
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