If you would like to solve for x: 3x - 24 = 81, you can do this using the following steps:

3x - 24 = 81
3x = 81 + 24
3x = 105
x = 105 / 3
x = 35

The correct result would be 35.

4 0

3 years ago

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The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.

valentina_108 [34]

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

ii. for the sphere, radius = 3x cm

iii. volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

volume = $\frac{1}{3}$ $\pi$ $r^{2}$ h

where: r is its base radius and h the height

volume of the given cylinder = $\frac{1}{3}$ $\pi$ x $(2x)^{2}$ x h

= $\frac{1}{3}$ $\pi$ x 4 $x^{2}$ x h

= $\frac{4}{3}$ $\pi$ $x^{2}$ h

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

where r is the radius.

volume of the given sphere = $\frac{4}{3}$ $\pi$ x $(3x)^{3}$

= $\frac{4}{3}$ $\pi$ x 9 $x^{3}$

= 12 $\pi$ $x^{3}$

Since,

volume of the cylinder = volume of the sphere

Then we have;

$\frac{4}{3}$ $\pi$ $x^{2}$ h = 12 $\pi$ $x^{3}$

4 $\pi$ $x^{2}$ h = 36 $\pi$ $x^{3}$

subtract $x^{2}$ from both sides

4 $\pi$ h = 36 $\pi$ x

divide both sides by 4 $\pi$

h = $\frac{36\pi x}{4\pi }$

= 9x

h = 9x

5 0

2 years ago

You roll a 6-sided die two times. What is the probability of rolling a 2 and then rolling a 3?

docker41 [41]

Answer:

The answer is 1/3 or 4 out 12

Step-by-step explanation:

3 0

3 years ago

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-40-2(3m+1/2)=7m-2 Solve for m please Thank you.

Anvisha [2.4K]

Answer:

{-3}

Step-by-step explanation:

Раскроем скобки:

- 40 - 6m - 1 = 7m - 2

Перенесем все, что с m, в левую часть:

- 13m = 39

m = -3

4 0

2 years ago

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