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Natasha2012 [34]
4 years ago
8

What is the volume of the rectangular prism? 6 cm 9 cm 1 cm

Mathematics
1 answer:
s2008m [1.1K]4 years ago
7 0
6x9x1
V=54
Multiply them all together
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Solve for m and n<br> I been stuck on this question for an hour
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Answer:

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Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = \frac{1}{\sqrt{2} } and tan45° = 1 , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5\sqrt{2} }{m} = \frac{1}{\sqrt{2} } ( cross- multiply )

m = 5\sqrt{2} × \sqrt{2} = 5 × 2 = 10

-----------------------------------------

tan45° = \frac{opposite}{adjacent} = \frac{n}{5\sqrt{2} } = 1 , then

n = 5\sqrt{2}

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