Mathematics, 29.01.2020 00:47 nathangirnet
The volume, v, of a rectangular prism is determined using the formula , where l is the length, w is the width, and h is the height of the prism. carltren solves for w and writes the equivalent equation w = . using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches?
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= w
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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The volume, v, of a rectangular prism is determined using the formula , where l is the length, w is...
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