The tiles on the left contain functions written using function notation. Match each function with its input .

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Evaluate cos2θ for cosθ = square root of 3/2

Solve the triangle. a = 21°, c = 105°, c = 5