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Rudiy27
3 years ago
7

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer

to the nearest hundredth.
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

  Volume  = π r ² h

Insert the given parameters and solve;

  Volume  = 3.14 x 18² x 18

  Volume  = 18312.5mm³

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In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
2 years ago
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The speed limit on a highway is 60 mph write and graph an inequality that describes the situation
kirza4 [7]
<span>speed limit < = 60
I don't really remember how to graph it though sorry

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3 0
3 years ago
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A line passes through the point (-7, 5) and has a sloe of 1/2. Which is another point that the line passes through?
Mekhanik [1.2K]

The point through which the same line is passing will be (9,13) so option (C) will be correct.

<h3>What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The equation of any line with slope m can be given as

y = mx + c

Given,

slope m = 1/2

Point of passing  (-7, 5)

So,

5 = -7/2 + c ⇒ c = 17/2

So the equation will be,

y = x/2 + 17/2

2y = x + 17

Now checking all points (9,13) is satisfying.

2(13) = 9 + 17

26 = 26

Hence point (9,13) is passing through the line.

For more about line segment

brainly.com/question/25727583

#SPJ1

7 0
2 years ago
B is the midpoint of a segment AC. AB = 5x, BC = 3x+4 Find x, AB, BC, and AC.
Shalnov [3]

Given below is the answer

5 0
2 years ago
Convert the following common fractions to decimals. Round to three decimal places if necessary. 5/6 = A)0.83 B)5.6 C)0.56 D)0.83
Umnica [9.8K]

Answer:

D

Step-by-step explanation:

If we divide 5 by 6 we'll come up with 8.333 repeating. It is necessary that we round to three decimal places since we have an endless amount of digits that can only be represented with 3 digits

7 0
3 years ago
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