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timurjin [86]
4 years ago
9

A cylinder has a height of 13 millimeters and a radius of 15 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer

to the nearest hundredth.
Mathematics
1 answer:
Butoxors [25]4 years ago
5 0

Answer: The volume of the cylinder is 9,184.5 cubic millimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given and solving for v (Volume)

V = 3.14 x 15² x 13

V = 9,184.5 mm3

In conclusion, the volume of the cylinder is 9,184.5 cubic millimeters.

Feel free to ask for more if needed or if you did not understand something  

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Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )
Anna007 [38]

Answer:

y=2x+3

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

y-y_1=m(x-x_1)

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

y-7=2(x-2)

Solve for y. Distribute the right:

y-7=2x-4

Add 7 to both sides. Hence, our equation is:

y=2x+3

6 0
3 years ago
Which point(s) lie on the line whose equation is - 4x + 5y - 12 = 8 Select all that apply. A (5, 0) В (- 2, 2.4) (8, 5) D (10, 1
STALIN [3.7K]

Answer:

Options B, D and E

Step-by-step explanation:

Given equation is,

-4x + 5y - 12 = 8

-4x + 5y = 20

If a point given in the options lie on the line, point will satisfy the equation.

Option A.

For a point (5, 0),

-4(5) + 5(0) = 20

-20 = 20

False

Therefore, (5, 0) will not lie on the given line.

Option B

For (-2, 2.4)

-4(-2) + 5(2.4) = 20

8 + 12 = 20

20 = 20

True.

Therefore, (-2, 2.4) will lie on the given line

Option C

For (8, 5),

-4(8) + 5(5) = 20

-32 + 25 = 20

-7 = 20

False

Therefore, (8, 5) will not lie on the line.

Option D

For (10, 12)

-4(10) + 5(12) = 20

-40 + 60 = 20

20 = 20

True.

Therefore, (10, 12) will lie on the line.

Option E

For (0, 4)

-4(0) + 5(4) = 20

20 = 20

True.

Therefore, (0, 4) will lie on the line.

Options B, D and E are correct.

5 0
3 years ago
F(n)=n-2<br> g(n)=4n-1<br> f{g(n)}=?
Dennis_Churaev [7]

9514 1404 393

Answer:

  f(g(n)) = 4n-3

Step-by-step explanation:

f(g(n)) = f(4n -1) = (4n -1) -2

f(g(n)) = 4n -3

3 0
3 years ago
Alkena and Hsu together earn $84,369 per year, If alkena earns $12,468 more per year than Hsu, the how much of them earn per yea
scoray [572]

Answer:

Hsu makes $35,950.50 and Alkena makes $48,418.50

Step-by-step explanation:

Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:

a + h = 84,369

a = h + 12,468

Solve by substitution by plugging in h + 12,468 as a:

h + 12,468 + h =  84,369

2h + 12,468 = 84,369

2h = 71,901

h = 35,950.50

Plug this into the equation, a = h + 12,468 , to solve for a

a = 35,950.50 + 12,468

a = 48,418.50

So, Hsu makes $35,950.50 and Alkena makes $48,418.50

3 0
3 years ago
PLZ HELP!!!
djyliett [7]

Answer:

Step-by-step explanation:

Where's the problem?

7 0
4 years ago
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