Larry and Gary are trying to solve for the height of the oblique regular pentagonal prism below. What value should they get for the height of the prism if the volume is 4,185 cm? 12cm 46.5 cm 72.6 cm 73.2 cm 46.2 cm 27+12x

If a triangle that has an area of 110 square feet has a base that is two feet less than twice the height, what is the length of its base and height?

Solve by completing the square: y2+8y=11 .

If a triangle that has an area of 110 square feet has a height that is two feet less than twice the width, what are its dimensions?

Given that the area of the rectangle shown is 66, find the width w and length w+5 by solving the equation ww+5=66.

A meditation garden is in the shape of a right triangle, with one leg 7 feet. The length of the hypotenuse is one more than the length of one of the other legs. Find the lengths of the hypotenuse and the other leg.

Gina is standing near a building and notices that the angle of elevation to the top of the building is 68. She then walks 72 feet further away from the building and notices that the angle of elevation to the top of the building is now only 51. Find the height of the building. a. 2511 b. 56ft c. 149ft d. l80ft

A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can use the Pythagorean Theorem to find the length of guy wire needed. The square of the distance between the wire on the ground and the pylon on the ground is 423,500423,500 feet. . The square of the height of the pylon is 12,100 feet.

Amal is painting the main street of a model town. The street is 24 inches long by 1.5 inches wide, until it turns at an angle. The angle forms a triangle with one side of 2 inches and two sides of 1.5 inches that form a right angle. Then the street, still is 1.5 inches wide, continues on for another 11 inches. What calculations will Amal need to do to find the area of each shape? How big is the area Amal wants to paint?

Lorena and Karla are creating an art project in the shape of a right triangle. They have a 92 cm long piece of wood, which is to be used for the hypotenuse. The two legs of the triangular support are of equal length. Approximately how many more centimeters of wood do they need to complete the support? Round your answer up if necessary.