Achild looks up in front of himself and sees a hot air balloon in the sky. the angle of elevation from the child to the balloon is 52. the distance from the child to the spot of the ground directly under the balloon is 75 ft. how high is the balloon? (disregard the distance from the ground to the child’s eyes.)

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

Write an equation for the function that includes the points (1,4/5) and (2,2/3)

Points a, b, and c form a triangle. complete the statements to prove that the sum of the interior angles of triangle abc is 180