Solve the triangle. Find the angles ? and ? first.

A. ? = 109.5°, ? = 31.6°, ? = 38.9°
B. ? = 38.9°, ? = 109.5°, ? = 31.6°
C. ? = 109.5°, ? = 38.9°, ? = 31.6°
D. ? = 38.9°, ? = 31.6°, ? = 109.5°


Answer: C

Mathematics

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Solve the problem.A trough is to be made with an end of the dimensions shown. The length of the trough is to be  long. Only the angle ? can be varied. What value of ? will maximize the trough's volume?

A. 8° B. 30° C. 52° D. 32°

Mathematics

Find the domain of the rational function.f(x) =  

A. All real numbers except 13, -3, and 
B. All real number except -13 and -3
C. All real numbers except 13 and -3
D. All real numbers except 13, -3, , and 0

Mathematics

Factor by grouping.x2 + dx + 2d + 2x

A. x(x + d) B. x(x + d) + 2 C. (x + 2)(x + d) D. x(x + 2)

Mathematics

Provide the proper response.To graph  -  = 1 on a graphics calculator, we must consider the union of the graphs of the two functions. y1 = 6 and y2 = -6. Using the graph of y =  - 1, explain (a) how the solution set of 

src="https://sciemce.com/media/4/ppg__10627191645__f1q252g6.jpg" style="vertical-align: -17.0px;" /> - 1 ? 0 can be determined graphically and (b) how it relates to the domain of the hyperbola.

What will be an ideal response?

Mathematics