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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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the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?
GalinKa [24]
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3 0
3 years ago
Solve the equation. 33 = p – 6.71<br> A. –39.71 <br> B. –26.29 <br> C. 39.71 <br> D. 26.29
jeka57 [31]

<u>Answer</u>

C. 39.71


<u>Explanation</u>

33 = p - 6.71

The first step is to make the like terms to be on the same side.

Add 6.71 on both sides of the eqution

33 +  6.71 = p - 6.71 + 6.71

39.71 = p


∴ p = 39.71

4 0
3 years ago
What is the perimeter of this pentagon?
exis [7]

Answer:

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Step-by-step explanation:

add each side together in decimal form

8 0
3 years ago
16x 2 + 8x - 15 Mathematics?
Gala2k [10]
If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

4x(4x + 5) - 3(4x + 5)

Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)
5 0
3 years ago
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