Given the side lengths of a right triangle, find the indicated value. adj = 7, hyp = Find tan ?.

A. tan ? = 
B. tan ? = 
C. tan ? = 
D. tan ? = 


Answer: D

Mathematics

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Calculate the flux of the field F across the closed plane curve C.F = xi + yj; the curve C is the closed counterclockwise path around the rectangle with vertices at    and 

A. 32 B. 0 C. 24 D. 40

Mathematics

Factor completely. If the polynomial is prime, state so.125x2 - 5

A. 10(5x + 1)(5x - 1) B. 5(5x + 1)(5x - 1) C. 5(5x + 1)2 D. 5(5x - 1)2

Mathematics

Perform the indicated operation. Simplify if possible. + 

A.
B.
C.
D.

Mathematics

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 4 minutes in a grinder and 3 minutes in a bonder. The gold requires 14 minutes in a grinder and 13 minutes in a bonder. The grinder can be run no more than 470 minutes per day and the bonder no more than 260 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. 4x + 3y ? 470, 14x + 13y ? 260 B. x + y ? 470, x + y ? 260, x + y ? 730 C. 0 ? 7x + 27y ? 730 D. 4x + 14y ? 470, 3x + 13y ? 260

Mathematics