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inysia [295]
3 years ago
12

Answer please!! Thanks!

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0

Answer: 9.6 units

<u>Step-by-step explanation:</u>

The formula for the length of a diagonal (d) for a rectangular prism given length (L), width (w), and height (h) is: d² = L² + w² +  h²

Given: L = 8, w = 2, h = 5

 d² = 8² + 2² + 5²

 d² = 64 + 4 + 25

 d² = 93

√d² = √93

 d = 9.6

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Step-by-step explanation:

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In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

\displaystyle A = \frac{1}{2} xy

We can write the following ratios:

\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}

Solve for <em>x</em> and <em>y</em>:

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Substitute:

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