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Zielflug [23.3K]
3 years ago
11

Set up equation and solve for x! 25x = 24X+4

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

the 2 given angles are corresponding angles and are congruent , then

25x = 24x + 4 ( subtract 24x from both sides )

x = 4

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dilation

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What is an equation of the line that passes through the points (-8, 2) and<br> (–4,-3)?
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1/4

Step-by-step explanation:

 

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A car listens plate is made up of 7letters or numbers, where the numbers are whole numbers 0-9.
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4 years ago
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

#SPJ9

4 0
2 years ago
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Schach [20]

15r means that she burns 15 calories per min, for as many mins as she ran.  EG: if she ran for 10 min, then she burned 150 cals.  The other one I'm not so sure.

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