A = 7, c = 11, B = 123 degree A = 38 degree, b = 14 meters, c = 12 meters A) 52

Question

A = 7, c = 11, B = 123 degree A = 38 degree, b = 14 meters, c = 12 meters A) 52 square meters B) 106 square meters C) 26 square meters D) 104 square meters a = 8 inches, b = 14 inches, c = 8 inches A) 30 square inches B) 28 square inches C) 47 square inches D) 49 square inches coordinates of a point are given. Find the rectangular coordinates of the point. (-7, 120 degree) A) [-7/2, -7 Squareroot 3/2] B) [-7/2, 7 Squareroot 3/2] C) [7/2, -7 Squareroot 3/2] rectangular coordinates of a point are given. Find polar coordinates of the point. (7, -7) A) [7, - 7 pi/4] B) [7, pi/4] C) [7 Squareroot 2, -7 pi/4]

Explanation / Answer

6) area = bcsinA = 14 x 12 x sin38= 103.43 m2 (option D) 104 m2 )

7) s = (8+14+8)/2 = 15 in

area = sqrt[s(s-a)(s-b)(s-c)] = sqrt[15 x 7 x 1 x 7] = 27.111 square inch (B)

8) x = -7cos120 = 7/2

y = -7sin120 = -7sqrt(3)/2 (C)

9) rcos(A) = 7

rsin(A) =-7

tan(A) = -1 => A = -pi/4 (D)

r = 7sqrt(2)

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