Solve the problem.Mary lives on a corner lot. The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonal distance across the lawn is  and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting across the lawn? Round to the nearest foot if necessary.

A. 17 ft
B. 13 ft
C. 10 ft
D. 40 ft


Answer: C

Mathematics

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Find the average velocity of an object which follows the position function s(t) over the given interval.s(t) = -3t2 - t, [5, 6]

A.
B. -34
C. -2
D. - 

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Identify the constant term, leading term, and leading coefficient of the polynomial.t - 4t2 + 5t3 + 7

A. 7 ; t ; 1 B. 7 ; -4t2 ; -4 C. 7 ;  7 ; 7 D. 7 ; 5t3 ; 5

Mathematics

Provide an appropriate response.Find the indicated part of triangle ABC. Round to the nearest 0.1°. Find A if b = 16.8 cm and a = 7.2 cm. 

A. 23.2° B. 2.2° C. 0.4° D. 66.8°

Mathematics

Solve the problem.An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. In how many ways can the awards alternate between men and women with the first award being presented to a man?

A. 1008 B. 144 C. 72 D. 12

Mathematics