In △ABC, AB = 7, BC = 12, and m∠ABC = 82˚. In △DEF, DE = 7, EF = 12, and m∠DEF = (2x − 6)˚. AC > DF. What is the range of possible values for x?

One integer is 8 times another. if the product is 72, then find the integers

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle. tiles : cosb sinb tanb sincposs matches: c/b b/a b/c c/a

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters