Solve the problem.Suppose that a pendulum of length 285 mm swings through an arc of length 111 mm. Through how many degrees does the pendulum swing?

A. 147°
B. 0.389°
C. 44.6°
D. 22.3°


Answer: D

Mathematics

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Choose the ordered pair which is a solution of the inequality.2x + 3y < 5

A. (2, 2)
B.
C. (1, 1)
D. (3, 2)

Mathematics

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20

A. Maximum: 59; at (2, 5) B. Maximum: 70; at (10, 0) C. Maximum: -28; at (4, 0) D. Maximum: 42; at (6, 0)

Mathematics

Find the flux of the curl of field F through the shell S.F = (z - y)i + (x - z)j + (z - x)k; S: r(r,? ) = r cos?i + r sin?j + (25 - r2)k, 0 ? r ? 5 and 

A. -50? B. 100? C. -100? D. 50?

Mathematics

Multiply. × 

A.
B.
C.
D.

Mathematics