For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
Answer:
Step-by-step explanation:
step 1
Find the circumference of the complete circle
The circumference is equal to
we have
substitute
step 2
Find the measure of the arc length for a central angle of 280 degrees
Remember that the circumference subtends a central angle of 360 degrees
so by proportion
step 3
Find the perimeter of the playground
Multiply by 3
Round to the nearest integer
Answer:
0.9101523758 ≈ 1 year
Step-by-step explanation:
The population of a small town is 40,740.
Its population falls by 8% per year.
Given: Compound interest Amount (A) = P( 1 + 
14,550 = 40,740(1 + 
14,550 = (40,740 - 3259.2
14,550 = (37,480.8
t * log 37,480.8 = log 14,550
t = 
= 0.9101523758 ≈ 1 year
Answer:
Step-by-step explanation:
the answer is d hope it helps
