Given A = 25°, B = 32°, and ? = 15, use the Law of Sines to solve the triangle for the value ofb. Round your answer to two decimal places.
?
A. b = 11.59
B. b = 10.16
C. b = 8.26
D. b = 10.71
E. b = 9.48
Answer: E
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Write the system of inequalities that describes the possible solutions to the problem.The Pen-Ink Company manufactures two ballpoint pens: silver and gold. The silver requires 9 minutes in a grinder and 8 minutes in a bonder. The gold requires 11 minutes in a grinder and 8 minutes in a bonder. The grinder can be run no more than 390 minutes per day and the bonder no more than 180 minutes per day. Let x represent the number of silver pens, and let y represent the number of gold pens. Including the system inequalities and
, find the remaining
inequalities that best represent this company's daily production of silver and gold pens. A. 0 ? 17x + 19y ? 570 B. 9x + 8y ? 390, 11x + 8y ? 180 C. x + y ? 390, x + y ? 180, x + y ? 570 D. 9x + 11y ? 390, 8x + 8y ? 180
Sketch a graph of a hyperbola, centered at the origin, with the foci, vertices, and asymptotes shown in the figure. Find an equation of the hyperbola.y = ± x; F(±2
, 0); V(±6, 0)
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Graph the solution set on a number line.{x|-4 < x < 0}
A.
B.
C.
D.
Convert. When necessary, round the answer to two decimal places.132 inches to feet
A. 11 B. 396 C. 44 D. 0.92