A building contractor is building a backyard playground and wishes to put down rubber mulch to provide safety from falls. The contractor wishes to put the mulch in a pit in the shape of a rectangular solid 21 feet long, 14 feet wide, and 9 inches deep.
a) Determine the volume, in cubic feet, of mulch the contractor will need.
b) If mulch costs $11 per cubic foot, what will the cost of mulch be?

Step-by-step explanation:

a) The volume of a rectangular prism can be calculated by multiplying its dimensions.

In this case, you know the rectangular solid has 21 feet long, 14 feet wide, and 9 inches deep.

Since , then its depth in feet is:

 Therefore, its volume is:

b) Knowing that each cubic foot of mulch costs $11, you can calculate the total cost of the mulch the contractor needs to buy, multiplying the volume by the $11.

Then, you get:

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: