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nikitadnepr [17]
2 years ago
12

How to solve for shaded area

Mathematics
1 answer:
tamaranim1 [39]2 years ago
5 0

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

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nlexa [21]

Answer:

190 ft^2

Step-by-step explanation:

So first we need to find which equation we're using and since it's a rectangular prism we're going to use:

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Now what we need to do is plug in the values

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Now just multiply everything and then add it together.

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Once you add everything together you get:

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The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)

If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:

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3 years ago
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GuDViN [60]

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sergiy2304 [10]
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the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth o
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Answer:

8.5 inches

Step-by-step explanation:

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