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Luda [366]
3 years ago
6

The height of a trapezoid is 8 in. and its area is 80 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases? Complete the explanation of how you found your answer.

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:40

Step-by-step explanation:

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Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

\tan( \alpha )  =  \frac{34}{122}

\alpha  =  { \tan }^{ - 1}  \frac{34}{122}  = 15.57

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3 years ago
If ON = MN, find MN.
Furkat [3]
Use Pythagorean theorem.

[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}

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