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2 years ago

Graph the equation. 2x + 3y = 12

Mathematics

2 answers:

lukranit [14]2 years ago

7 0

Well, put x=0 then y=4
x=6 y=0
x=3 y=2
Now plot the graph :)

Leni [432]2 years ago

5 0

Yea fr no cap that be da one

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

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azamat

Answer:

Step-by-step explanation:

3 0

2 years ago

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grin007 [14]

Divide them by 64 and 36 to get the answer

8 0

2 years ago

HELP ME PLZ I don't get math

Finger [1]

Answer:

9/10 would be $1.80

2 would be $2.90

3 and 1/10 would be $4

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Step-by-step explanation:

Youre welcome bud im not sure how to explain tho

7 0

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Compare the value of 9 in $916 and $791

nexus9112 [7]

916=900
791=90
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3 years ago

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