i think this is the answer Simplifying h(t) = -16t2 + 20t + 6 Multiply h * t ht = -16t2 + 20t + 6 Reorder the terms: ht = 6 + 20t + -16t2 Solving ht = 6 + 20t + -16t2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 't'. h = 6t-1 + 20 + -16t Simplifying h = 6t-1 + 20 + -16t Reorder the terms: h = 20 + 6t-1 + -16t
The diagonal of a right rectangular prism is the line that connect opposite vertices. In other word is the distance from corner to corner in the right rectangular prism. Since the diagonal of a right rectangular prism is the hypotenuse of a right triangle, we are going to use a variation of the Pythagorean theorem to find it. In essence, we just need to add another dimension to the Pythagorean theorem; in this case the height of our prism:
We can conclude that the formula to calculate the length of the diagonal of a right rectangular prism is:

where

is the length of the diagonal.

is the length of the rectangular base of the prism.

is the width of the rectangular base of the prism.

is the height of the prism.
The width of the deck woul be 5 feet because, the deck is a rectangle, meaning it has 4 sides. If you know two of thoses sides are 10 feet in lenghth, that adds up to 20 ft in perimeter. You subtract 20 from the perimeter of 30 ft, and get 10. You divide the ten by the two remaining sides of the deck and get the answer of 5 ft