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AysviL [449]
4 years ago
14

50 POINTS! What is the volume of this?

Mathematics
2 answers:
NeX [460]4 years ago
8 0
(4 times 4 times 5) + (5 times 10 times 8) = 480 in cubed.
aleksandr82 [10.1K]4 years ago
8 0

To find the volume of a rectangular prism, we use a certain formula.

Volume = Length × Width × Height

Let's first find the volume of the rectangular prism on the right.

Length = 4 in.

Width = 4 in.

Height = 5 in.

(4) (6) (6) = 80 in.³

Now, let's find the volume of the rectangular prism on the left.

Length = 8 in.

Width = 10 in.

Height = 5 in.

(8) (10) (5) = 400 in.³

400 in.³ + 80 in.³ = 480 in.³

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an
ExtremeBDS [4]

Answer:

y\geq x-2

x+2y

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

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(0,-2) and (2,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0+2}{2-0}

m=\frac{2}{2}

m=1

The equation in slope intercept form is equal to

y=mx+b

we have

m=1

b=-2 ---> the y-intercept is given

substitute

y=x-2

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

y\geq x-2

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0-2}{4-0}

m=\frac{-2}{4}

m=-\frac{1}{2}

The equation in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{2}

b=2 ---> the y-intercept is given

substitute

y=-\frac{1}{2}x+2

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

y

Rewrite

Multiply by 2 both sides

2y

x+2y

therefore

The system of inequalities is

y\geq x-2

x+2y

see the attached figure to better understand the problem

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djyliett [7]

Answer:

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Step-by-step explanation:

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ale4655 [162]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)

           = (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i +  0j + (2 \times 1)k)\\\\ = 3i +  0j + 2k \\

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