Awindow box shaped like a rectangular prism has a length of 12 feet, a width of 9 feet, and a height of 9 feet. if one bag contains 2 cubic feet of soil, how many bags of soil must you buy to fill the window box? if each bag of soil costs $4.97, what is the cost of filling the window box? (show work)

Number of bags required = 486

Total cost to fill the window box = $2415.42.

Step-by-step explanation:

Volume of the rectangular prism = l × b × h

= 12 × 9  × 9 cubic feet

Volume of 1 bag of soil = 2 cubic feet

Number of bags required =

= 486

Cost of one bag = $4.97

Cost of 486 bags = 486 × 4.97 = 2415.42

Hence, total cost of filling the window box = 2415.42.

it would be a on edgenuit y

the diagram below is your final answer

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west