To solve this problem you must apply the proccedure shown below:
1- You have that the area of the living room is:
A=lw (Area of the rectangle); where l is the lengt and w is the width.
A=(21 feet)(15 feet)
A=315 feet²
2- The cost is:
Cost=315 feet²x$9
Cost=$2835
The answer is: He will need 315 feet² and it will cost $2835
Distance from tip of shadow to lamp post = 13 +9 feet = 22 ft
Height of lamp post = x
tan 50 = x /22 = 1.192
x = 22 * 1.192 =.26.2 ft. rounded = 26ft
,Okay, so here is how to calculate the amount of the trade discount:
I: $149,500 * .10 (10%) = 14,950 (this is the 10% discount)
149,500 - 14,950 = 134,550 (how much it costs with a 10% discount)
II: 134,550 * .5 (5%) = 6727.50
134,550 - 6727.50 = 127,822.50
III: 127,822.50 * .4 (4%) = 5112.90
The amount of the trade discount is: $14,950 + $6727.50 + $5112.90 = 26,790.40 dollars.
Answer:

Step-by-step explanation:
Starting with :
m g + r g = 2 H
extract "g" as a common factor on the left of the equal sign:
g (m + r) = 2 H
Now, in order to solve for "g" , divide both sides of the equal sign by the binomial (m + r):
g = (2 H )/(m + r)

The volume of the display is 900 cubic inches.
The formula for the volume of a prism is L x W x H.
In the small shape, we have: 5 x 5 x 12 = 300
In the large shape, we have: 5 x 5 x 24 = 600
Add them together and we have 900 cubic inches.