As modeled below, a movie is projected onto a large outdoor screen. the bottom of the 60-foot-tall screen is 12 feet off the ground. the projector sits on the ground at a horizontal distance of 75 feet from the screen. determine and state, to the nearest tenth of a degree, the measure of theta.

The graph of which of the following will be parallel to the graph of 4x – 3y = –12? a.y= 4/3x -3/2 b.6x-4y=-8 c. y=3/4x+1 d.4x- 2y=-12

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?