The picture below shows a right-triangle-shaped charging stand for a gaming system:

The side face of a charging stand is a right triangle labeled ABC. The measure of angle ACB is 90 degrees, and the measure of angle ABC is 60 degrees. The length, BC, of the side adjacent to the angle ABC is 8 inches.

Which expression shows the length of side AB?

8(cos 60°)
8 over sin 60 degrees
8 over cos 60 degrees
8(tan 60°)

If sin θ=24/25 and 0 less than or equal to θ less than or equal to π/2, find the exact value of tan 2θ. answers; a) -527/336 b) -336/527 c)7/24 d) 24/7

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Suppose y varies directly with x. write a direct variation equation that relates x and y. then find the value of y when x=12 y=7 when x=3