Mathematics, 02.04.2020 15:59 jameslinimk
One pound of grout is enough to grout a tiled area that is 110 sq. Ft. Alyssa's kitchen counter is made up of two rectangular segments. One is 10.3 ft by 2.5 ft, and the other is 3.1 ft by 2 ft. Which expression represents the number of pounds of grout Alyssa will need? (Hint: Area 1st Rectangle = (10.3)(2.5); Area 2nd Rectangle = (3.1)(2); Total Area = Area 1st + 2nd) 10.3(2.5) + (3.1(2) ÷ 110) 10.3(2.5) + 3.1(2) ÷ 110 (10.3 (2.5) + 3.1 (2)) ÷ 110 3.1(2) + (10.3)(2.5) ÷ 110
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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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One pound of grout is enough to grout a tiled area that is 110 sq. Ft. Alyssa's kitchen counter is m...
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