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Darya [45]
3 years ago
9

The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is V=\pi r^2h. Since we were given the volume and radius, we can plug them in and solve for height.

675\pi =\pi (5^2)h              [divide both sides by π]

675 = (5^2)h                  [exponent]

675=25h                     [divide both sides by 25]

h=27

Now, we know that the height is 27 cm.

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2 years ago
One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other end
Arturiano [62]

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2

__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given  is  (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2             and   7 = (4+y)/2

=> -2*2 = -6+x                 => 7*2 = 4+y

=> -4 = -6+x                    => 14 = 4+y

=> -4+6 = x                     => 14-4 = y

=> x = 2                           => 10 = y

Thus, coordinates of the other endpoint is(2,10)

6 0
3 years ago
A ​$300 suit is marked down by ​%20. Find the sale price
avanturin [10]

Answer:

1499

5

(Decimal: 299.8)

Step-by-step explanation: =

300

1

−

20

100

=

300

1

+

−20

100

=

300

1

+

−1

5

=

1500

5

+

−1

5

=

1500+−1

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7 0
2 years ago
Read 2 more answers
Need Help Answering this question.?!
sladkih [1.3K]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Help me please! Will give 20 Brainly points!
Vitek1552 [10]
The first one would be 5 and the second is 3 thanks and mark as brainiliest
3 0
3 years ago
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