Can you please help me with this and thank you

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

Step-by-step explanation:

The volume of a rectangular prism is found using V = l*w*h. Using the formula, substitute V - 288, l = 6 and h = 8. Then solve for the width w.

V = l*w*h

288 = 6*w*8

288 = 48w

288/48 = w

6 = w

The width is 6 feet.

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Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, $\sin(45^{\circ}) = \frac{\sqrt{2}}{2}$

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You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve $x^2+x^2 = 1$ for x and you should get $x = \frac{\sqrt{2}}{2}$ as the length of each leg.