Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much money did Doug pay for each picture?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? а . 1: 2 в. 2: 1 с. 2: 1 d. 1: 1

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters