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3 years ago

Find the volume of this figure.

Mathematics

1 answer:

Bogdan [553]3 years ago

4 0

Answer:

The volume of the figure is $320\ units^{3}$

Step-by-step explanation:

we know that

The figure is a pyramid

The volume of a pyramid is equal to

$V=(1/3)BH$

where

B is the area of the rectangular base of pyramid

H is the height of pyramid

The area of the base B is equal to

$B=AB*AC$

we have that

$AB=8\ units$ ---> see the graph

$AC=10\ units$ ---> see the graph

substitute

$B=8*10=80\ units^{2}$

we have

$H=EF=12\ units$ ---> see the graph

<em>Find the volume</em>

$V=(1/3)(80*12)=320\ units^{3}$

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mestny [16]

Answer:

203 square inches.

Step-by-step explanation:

First you have to find the area of the triangles, and you do so by using the formula A = (B·H)/2, where the a represents area, b represents base, and h represents height. Assuming all of the triangles are the same, you multiply 7 by 11 and then divide by 2 (which equals 38.5) and then multiply that by 4 (which equals 154) and then you have the area of all four triangles combined. Then to find the area of the cube you simply square 7, which results in 49, and then add that to the area of the triangles, which leaves you at 203. 203 square inches is your answer.

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Sladkaya [172]

Answer:

C. 8x - 16

D. $x^2$ + 6x + 8

A. 2 (x + 3)

B. 7(2 - x)

C. -8x

D. 7x

Step-by-step explanation:

To solve this problem, first, one must distribute, multiply every term inside the parenthesis by the term outside,

2(4x - 8)

=(2)(4x) + (2)(-8)

= 8x - 16

To solve this problem, distribute, multiply every term inside one parenthesis by every term in the other, the combine like terms,

(x + 4)(x + 2)

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Factor, write the given expression as the product of two expressions. Take out a common factor that both terms have,

2x + 6

= 2(x + 3)

Factor this expression, take out a common factor, and rewrite the expression as the product of two other expressions,

14 - 7x

7(2 - x)

Combine like terms,

2x - 10x

= -8x

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3 years ago

deanna gets 3 problema incorrect on her math quiz. her score is 85%. how many questions are on the quiz

never [62]

Let's start by seeing what percentage is incorrect.
100-85=15
So, 15% is incorrect when answering 3 problems wrong. So let's divide 15 by 3.
15÷3=5
So, each problem is worth 5%, let's divide 100 by 5. The reason I'm doing thiis is to find how many questions are on the quiz, since if you got them all right, it's 100.
100÷5
20
There are 20 questions, let's make sure this is correct.
If she got 3 wrong, she got 17 right. Let's calculate her percentage and make sure it is the right one.
17÷20
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85%
So, there are 20 questions on the math quiz.

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Answer:

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Step-by-step explanation:

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