Solve. Use ? = 3.14159 as needed.Calculate the area (in square feet) of a concert hall stage shaped like a circular sector with radius 110 ft and central angle 85°. (Round to the nearest whole number, if necessary.)
A. 8975 ft2
B. 242,000 ft2
C. 17,951 ft2
D. 9280 ft2
Answer: A
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Evaluate the cylindrical coordinate integral.
A. 6? + ln 2 B. 3? + ln 2 C. 3 - ln 2 D. 6 - ln 2
Solve the problem.The length of the ellipse x = a cos t, y = b sin t, 0 ? t ? 2? is Length = 4awhere e is the ellipse's eccentricity.Use Simpson's Rule with n = 6 to estimate the length of the ellipse when a = 2 and e = 1/3.
A. 11.8956 B. 12.1751 C. 11.2546 D. 12.2097
Solve the problem.A plate shaped like an equilateral triangle 1 m on a side is placed on a vertical wall 2 m below the surface of a pool filled with water. On which plate in the figure is the force greater? Try to anticipate the answer and then compute the force on each plate. Round to three decimal places when appropriate.
A. plate 2 plate 1: 4856.024 N plate 2: 5468.524 N B. plate 1 plate 1: 10,937.049 N plate 2: 9712.049 N C. plate 2 plate 1: 9712.049 N plate 2: 10,937.049 N D. plate 1 plate 1: 5468.524 N plate 2: 4856.024 N
Provide an appropriate response.The diagonals of a intersect at their common midpoint.
A. trapezoid B. pentagon C. parallelogram D. rhombus