In order to factor the sum of the cubes, we need to use this form a³ + b³ = (a + b)(a² - ab + b²). Let a³ = 27x³ and b³ = 343y³. Then, a = 3x and b = 7y. Perform substitution of these terms for the form, and we obtain:
27x3 + 343y3 = (3x + 7y)(9x2 - 21xy + 49y2)
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If a 27 ft tall pole casts an 18 foot shadow, a 63 ft tall pole casts an x foot shadow.Put 27/18 and 63/x.Cross multiply, get 27x=1134Divide by 27 on both sides, a 63 foot tall pole casts a 42 foot long shadow.
The answer depends on the depth of the layer.1 yard of river rock actually means "1 cubic yard" of river rock.A cubic yard is 3 ft x 3 ft x 3 ft = 27 cubic ftIf you want a layer that is 3 ft deep, it would cover 9 square ft (i.e. 3 ft x 3 ft = 9 sq ft)If you want a layer that is 4 inches deep, it would cover 81 square ftx^2 * (4"/12") = 27x^2 = 27 * 12/4 = 81x = sqrt (81)x = 99 ft x 9ft = 81 sf