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Marianna [84]
3 years ago
7

I will mark brainliest to whoever gets this answer! Please help!

Mathematics
2 answers:
ra1l [238]3 years ago
5 0

Answer: 20 yards.

Step-by-step explanation:

To find the area of the shaded region (in blue), first find the area of the right triangle and the rectangle.

Rectangle.

Use a = lw (area = length x width) since you are already given the values

a = lw = 3*4=12

Right triangle.

Use a= \frac{1}{2} ab to find the area of a right triangle, in which a and b are legs (not the hypotenuse.

a = \frac{1}{2} ab = \frac{1}{2} *8*8 = 32

Subtract the area of the rectangle from the right triangle to find the area of the shaded region.

32-12=20

The answer is 20 yards.

lisov135 [29]3 years ago
4 0

Answer:

20 yd²

Step-by-step explanation:

This problem is really easy once you break it down!

First, find the area of the triangle.

A = \frac{1}{2}bh

b = 5 + 3 = 8

h = 4 + 4 = 8

A = \frac{1}{2}*8*8

A = 32

Now find the area of the square.

A = lw

A = 4*3

A = 12

The last step is to subtract.

Area of triangle - area of rectangle =

32 - 12 = 20

20 yd²

Hope this helped! :)

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3 0
3 years ago
A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 21 inches. The scoop is used to transfer molten st
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Answer:

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Step-by-step explanation:

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  • Volume of a cylinder = \pir²h
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First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:

Volume = (2/3)\pi x 21³ = 6174\pi in³

Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:

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 Divide both sides by \pi:        196h = 6174

Divide both sides by 196:          h = 31.5

Therefore, the height of the molten steel in the storage tank is 31.5 in

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