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3 years ago

Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer: first option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This is:

$Volume\ ratio=(\frac{6cm}{18cm})^3\\\\Volume\ ratio=\frac{1}{27}$

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

$V_{smaller}=\frac{1}{27}(40,635\ cm^3)\\\\V_{smaller}=1,505\ cm^3$

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1. What is the solution of the system?

andreyandreev [35.5K]

Answer:

The given system of equations has solutions below:

1) The solution is (2,3)

2) The solution is ( $\frac{-8}{7}, \frac{5}{7}$ )

3) The solution is infinitely many solutions

4) No solution

Step-by-step explanation:

Given system of equation are

$-x+2y=4\hfill (1)$

$-4x+y=-5\hfill (2)$

To solve equation by using elimination method

Multiply eqn (2) into 2

$-8x+2y=-10\hfill (3)$

Now subtracting (1) and (3)

$-x+2y=4$

$-8x+2y=-10$

_________________

7x=14

x= $\frac{14}{7}$

$x=2$

Substitute x=2 in equation (1)

-2+2y=4

2y=4+2

$y=\frac{6}{2}$

y=3

Therefore the solution is (2,3)

2) Given equation is

$-2x+y=3\hfill (1)$

4y-4=x

Rewritting as below

$x-4y=-4\hfill (2)$

To solve equation by using elimination method

multiply (2) into 2

$2x-8y=-8\hfill (3)$

Adding (1) and (3)

-2x+y=3

2x-8y=-8

________

-7y=-5

$y=\frac{5}{7}$

substitute $y=\frac{5}{7}$ in (1)

$-2x+\frac{5}{7}=3$

$-2x=3-\frac{5}{7}$

$-2x=\frac{21-5}{7}$

$x=-\frac{8}{7}$

Therefore the solution is ( $\frac{-8}{7},\frac{5}{7}$ )

3) Given equation is $6x+2y=10\hfill (1)$

$3x+y=5\hfill (2)$

equation (1) can be written as

2(3x+y)=10

$3x+y=\frac{10}{2}$

3x+y=5

Therefore equations (1) and (2) are same therefore it has infinitely many solutions

4) Given equation is $-x-2y=14\hfill (1)$

$-2x-4y=12\hfill (2)$

multiply equation (1) into 2

$-2x-4y=28\hfill (3)$

To solve equation by using elimination method

subtracting (2) and (3)

-2x-4y=28

-2x-4y=12

_______

$28\neq -12$

therefore it has no solution

4 0

2 years ago

suppose the probality that it will rain tomorrow is 0.59. what is the probality that it will not rain tomorrow

kykrilka [37]

Answer: 0.41

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3 years ago

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jenyasd209 [6]

Answer:

52.5

Step-by-step explanation:

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2 years ago

D 2.<br> The sum of 3x2 – 8x – 2 and 4x – 2 is

maw [93]

Answer:

3x^2 -4x -4

Step-by-step explanation:

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Combine like terms

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8 0

3 years ago

Read 2 more answers

A larger number is five more than twice the smaller number their sum is 80 find the number

Oksana_A [137]

Answer:

L= 5+2s

Step-by-step explanation:

Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

L + S = 80

5 + 2S + S = 80

L = 5 + 2S

3 0

3 years ago