Solve the problem.The strength S of a wooden beam with rectangular cross section is given by the formula S = kd3 sin2 ? cos ?where d is the diagonal length, ? the angle illustrated, and k is a constant that varies with the type of wood used.  Let d = 1 and express the strength S in terms of the constant k for ? = 45°, 50°, 55°,  and 65°. Does the strength always increase as ? gets larger?

What will be an ideal response?


0.354k; 0.377k; 0.385k; 0.375k and 0.347k; No, it reaches a maximum near 55°.

Mathematics

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Use the distributive property to multiply. Then, if possible, simplify the resulting expression.3(7 + m)

A. 21m B. 21 + m C. 21 + 7m D. 21 + 3m

Mathematics

Solve the problem.Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 1993?

A. 500 B. 650 C. 600 D. 250

Mathematics

Expand the expression using the Binomial Theorem.(x - 9)5

A. x5 - 45x4 + 810x3 - 7290x2 + 32,805x - 9 B. x5 - 45x4 + 1620x3 - 14,580x2 + 32,805x - 59,049 C. x5 - 45x4 + 1620x3 - 14,580x2 + 32,805x - 9 D. x5 - 45x4 + 810x3 - 7290x2 + 32,805x - 59,049

Mathematics

Solve the inequality.x2 - 3x - 10 ? 0

A. (-?, -2] B. [-2, 5] C. (-?, -2] or [5, ?) D. [5, ?)

Mathematics