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3 years ago

Workout this equation X(x+2)(x+4)

Mathematics

2 answers:

rewona [7]3 years ago

4 0

Answer:

x^3 <-- exponent, x to the power of three

Explanation:

x(x+2)(x+4)

=(x(x+2))(x+4)

=(x(x+2))(x)+(x(x+2))(4)

=x^3+2x^2+4x^2+8x

=x^3+6x^2+8x

lara31 [8.8K]3 years ago

4 0

Step-by-step explanation:

x(x+2)(x+4)

first get rid of the bracket

x square +2x+x+4

x^2 + 3x + 4

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The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the

jek_recluse [69]

The biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>

If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is $x$ , the diameter and the height of the cylinder are also $x$
If the side length of a cube is $x$ unit, then its diagonal will be $x\sqrt{3}$ unit.
The formula for the volume of a cylinder is $V=\pi r^2h$ , where $r$ is the radius and $h$ is the height of the cylinder. If $d$ is the diameter, then $r=\frac{d}{2}$ .

Now, given that the diagonal of the cube is $24$ cm. So, if the side length of the cube is $x$ cm, then we must have

$x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}$

Thus, the side length of the cube is $8\sqrt{3}$ cm.

So, the height of the cylinder with maximum volume will be $h=8\sqrt{3}$ cm and the diameter will be $d=8\sqrt{3}$ cm i.e. the radius will be $r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}$ cm.

So, using the above formula for the volume of a cylinder, we get

$V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3$ .

Therefore, the biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

To know more about volume, refer: brainly.com/question/1972490

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2 years ago

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Grant finds the difference of 360 and 127 as shown. What is Grant's

pychu [463]

Answer:

D. Grant did not regroup the 4 tens when he subtracted 7.

Step-by-step explanation:

In the process of subtraction, regrouping is important so that each digit in the given numbers are placed appropriately before the required arithmetic operation is performed.

The correct step to Grant's solution are:

360 - 100 = 260

260 - 20 = 240

240 - 7 = 233

Grant's final answer ought to have been 233.

Going through his solution, he made a mistake while subtracting 7 from 240. He failed to regroup the 4 tens when he subtracted 7 from 240. Thus the essence of his wrong answer.

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3 years ago

Find the selling price is a store pays $12 for a book and the markup is 25%.

Brut [27]

Answer:

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Step-by-step explanation:

use a calculator and type 25%x12 and you will get 3

so 3 is 25% of 12

add 12 and 3 together to get your answer. $15

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Answer:

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Taya2010 [7]

A. Let us assume the width of the pool = x
Then
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= 6x + 6 - 7
= 6x - 1
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