Use the figure below to answer the problem. Assume AC\\DE and BD//CF .






Mathematics

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Find the curvature of the curve r(t).r(t) = (3 + cos 7t - sin 7t)i + (9 + sin 7t + cos 7t)j + 2k

A. ? = 
B. ? = 
C. ? = 
D. ? = 

Mathematics

For the given pair of points, find the equation of the line  that goes through the points by solving a system of equations.(-3, -2) and (4, 19)

A. y = 3x + 7 B. y = 3x - 2 C. y = 6x + 7 D. y = 3x - 11

Mathematics

Solve the problem.Find the expected number of girls in a family of 7.

A. 4 B. 3.25 C. 3 D. 3.5

Mathematics

Solve triangle ABC. If necessary, round the answer to the nearest tenth.B = 12.8°, C = 113.5°, b = 19.2 inches

A. A = 51.7°, a = 79.5 in., c = 69.8 in. B. A = 53.7°, a = 71.80 in., c = 81.50 in. C. A = 53.7°, a = 69.8 in., c = 79.5 in. D. A = 51.7°, a = 81.50 in., c = 71.80 in.

Mathematics