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maks197457 [2]
3 years ago
10

Find the volume for this shape

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

The area of this triangular prism is equal to 144yd^{3}

Step-by-step explanation:

As it says in the question, the formula for the volume of this shape (triangular prism) can be found by the following formula...

V = Bh (where B is the area of the triangular base, and h is the length between the two triangular bases of the prism)

Now we need to find out to what B equals to. In order to do this we need to know that area of a triangle can be found by using the following formula...

B = \frac{bh_{1}}{2} (where "b" is the base of the triangle, and h_{1} is the height of the triangle. Now we just substitute the values and get...

B = \frac{bh_{1}}{2} = \frac{(6)(4)}{2} = \frac{24}{2} = 12yd^{2}

Now that we know what B equals, we just substitute the values in the first formula and get...

V = Bh = (12)(12) = 144yd^{3}

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Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

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3 years ago
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y = 4x + b, where b is any number

Step-by-step explanation:

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Every line parallel to y = 4x + 1 has the slope 4.

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uysha [10]

Answer:

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Step-by-step explanation:

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Then

CD = 16.355388523507 - 12.753369333168 = 3.602019190339

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