Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
Well the term would be +8. for 3, 11
Then +14.
finally +20
hope that helped
The best way to answer this question is to simplify each faction individually. 18/72 can be reduced to 1/4, and 4/16 can be reduced to 1/4. Since both of these are the same fraction the are proportional.
Answer:
The most cost-effective company is Painting USA .
Step-by-step explanation:
Given as :
The charges applied by the Painting USA = $ 75 + $ 25 per hour labor charge
The charges applied by the Upscale Home Painting = $ 40 per hour
The total time required to paint the Paul's house = 25 hours
Now, Let the charges applied by the Painting USA = $ x
And charges applied by the Upscale Home Painting = $ y
So, x = $ 75 + $ 25 × 25 hour
Or, x = $ 75 + $ 625
∴ x = $ 700
So, The charges applied by the Painting USA = x = $ 700
And y = $ 40 × 25 hour
∴ y = $ 1,000
So , The charges applied by the Upscale Home Painting = y = $ 1,000
As $ 700 
$ 1000
So, x y
Hence The most cost-effective company is Painting USA . Answer
