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nadya68 [22]
2 years ago
7

Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2

)(4.4)(5) – one-third (one-half)(2)(4.4)(3.9) one-half(2)(4.4)(5) one-third (one-half)(2)(4.4)(3.9)
Mathematics
2 answers:
larisa86 [58]2 years ago
6 0

The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

<h3>What will be the volume of the composite figure?</h3>

The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.

Volume of the cube = length*breadth*height

So, the volume of the cube = 8*6*4

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 8*6

Height of the pyramid = total height - height of the cube

Height of the pyramid = 10-4 =6

So, the volume of the pyramid = 1/3 * 8*6*6

So, total volume = (8*6*4)+ 1/3 * (8*6*6)

Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

To get more about prism visit:

brainly.com/question/23963432

Alisiya [41]2 years ago
5 0

Answer:

D. One-half(2)(4.4)(5) + One-third (One-half)(2)(4.4)(3.9)

Step-by-step explanation:

E2020

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200.96

Step-by-step explanation:

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

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What is the range in interval notation of the function graphed below?
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Answer:

Range tells you how high and low the graph of this parabola goes in the “y” (vertical) directions.

1. We can see that the parabola peaks on the y-axis at y = 4. That’s as HIGH as it goes.

2. We also see that both sides of the parabola descend to the level of y = -7. That’s as LOW as it is shown to go.

So putting these together, we say the Range is given by:

-7 <= y <= 3

AMBIGUITY WARNING:

Because the two branches of the parabola go fall right down to the edge of the picture boundary, it’s UNCLEAR whether the parabola truly stops at y = -7 or CONTINUES on (to negative infinity).

In THAT case, the RANGE simplifies to:

Y <= 4

Done.

Step-by-step explanation:

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