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3 years ago

What is the exact volume of the cylinder

Mathematics

2 answers:

sergejj [24]3 years ago

7 0

The volume of a cylinder is $\pi$ r^2h. Using the actual value of pi, let's set up an equation by filling in the variables.

$\pi$ (12^2)20 = volume of the cylinder

This gets you $\pi$ (144 x 20) = $\pi$ 2880 in^3

This is your final answer. $\pi$ 2880 in^3

GrogVix [38]3 years ago

3 0

V=hpir^2
h=20
r=12

v=20pi12^2
v=20pi144
v=2880pi

2nd one is answer

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1. What is an equation for the line with slope 2/3 and y-intercept 9?

Monica [59]

Question 1:

The generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
$y = \frac{2}3}x + 9
$
Answer:
an equation for the line with slope 2/3 and y-intercept is:
$y = \frac{2}3}x + 9$

Question 2:

The standard equation of the line is given by:
$y-yo = m (x-xo)
$
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{1-(-3)}{3-1}$
$m = \frac{1+3}{3-1}$
$m = \frac{4}{2}$
$m = 2
$
We choose an ordered pair:
$(xo, yo) = (3, 1)
$
Substituting values:
$y-1 = 2 (x-3)
$
Rewriting:
$y = 2x - 6 + 1

y = 2x - 5$
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
$y = 2x - 5
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Question 3:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We then have the following equation:
$-4y = 8x
$ Rewriting we have:
$y = \frac{8}{-4}x
$
$y = -2x
$ Therefore, the constate of variation is given by:
$k = -2
$
Answer:
the constant of variation is:
$k = -2$

Question 4:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
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y = 24 when x = 8
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$24 = k8
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$k = \frac{24}{8} 
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$k = 3
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Therefore, the equation is:
$y = 3x
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$y = 3 (10)

y = 30$ Answer:
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6 0

3 years ago

Read 2 more answers

What is the equation of a line, in point-slope form, that passes through (-8, 1)and has a slope of ?

Serggg [28]

Answer:

y-1 = 5(x+8)

Step-by-step explanation:

The standard equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Given

Slope m = 5 (assumed value)

Point (-8,1)

Substitute the given data's into the formula

y -1 = 5(x-(-8))

y-1 = 5(x+8)

Hence the required equation is y-1 = 5(x+8)

8 0

3 years ago