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Nadya [2.5K]
3 years ago
6

How many unit cubes are in the bottom layer of this prism?

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

D. 24

Step-by-step explanation:

Kaylis [27]3 years ago
3 0
The answer is 24.
3×8=24
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klasskru [66]
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Vitek1552 [10]

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The volume of a cylinder is given by the formula v= m'h. where r is the radius of the cylinder and h is the height.
Verdich [7]

Answer:

The Volume of cylinder is: \mathbf{Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi }

Option B is correct option.

Step-by-step explanation:

We are given:

Volume of cylinder = h = 2x+7

Radius of cylinder = r = x-3

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Putting values and finding volume

Volume=\pi r^2h\\Volume=\pi (x-3)^2(2x+7)\\Volume=\pi (x^2-6x+9)(2x+7)\\Volume=\pi (2x(x^2-6x+9)+7(x^2-6x+9))\\Volume=\pi (2x^3-12x^2+18x+7x^2-42x+63)\\Volume=\pi (2x^3-12x^2+7x^2-42x+18x+63)\\Volume=\pi (2x^3-5x^2-24x+63)\\Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi \\

So, The Volume of cylinder is: \mathbf{Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi }

Option B is correct option.

8 0
2 years ago
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3 years ago
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spayn [35]
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f(x)=-x^2-7x+30
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0=-x^2-7x+30
-x^2-7x+30=0
Step 2. Multiply both sides of the equation by -1
(-1)(-x^2-7x+30)=0(-1)
x^2+7x-30=0
Step 3. Factor the left side: 
(x+10)(x-3)=0
Step 4. Set each factor equal to 0 and solve for x:
x+10=0 and x-3=0
x=-10 and x=3
Since distances can't be negative, the zero of our function is x=3.
<span>We can conclude that the zero </span>x=3 represents that when the horizontal distance of the diver is 3 ft, he is is in the surface of the pool. In other words, his vertical distance is zero. 

Part B. To factor our quadratic equation 9x^2+3x-2=0, we are going to use the method for simple cases because a \neq 0:
Step 1. Find tow numbers whose product is ac and its sum is b:
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Step 2. Rewrite the middle term 3x using those numbers:
9x^2+6x-3x-2=0
Step 3. Factor the expression:
(9x^2+6x)-(3x+2)=0
3x(3x+2)-(3x+2)=0
(3x+2)(3x-1)=0







8 0
3 years ago
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