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3 years ago

Need help with my math!

Mathematics

1 answer:

kykrilka [37]3 years ago

7 0

12x+7+6x-7=90
12x+6x=90
18x=90
x=5

6(5)-7=
30-7=23

Q=23

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What is the coefficient of q in the sum of these two expressions?

a_sh-v [17]

Answer: 1/2

Step-by-step explanation:

3 0

3 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

Read 2 more answers

Find the distance between the ordered pairs.<br><br> A (-1, 7) , B (5, 7)

Ber [7]

6 units because 5 is 6 units away from -1

6 0

3 years ago

Plz help! Will mark brainliest :3

svet-max [94.6K]

So this is using slope-intercept form (y=mx+b)

m is slope and b is the y-intercept

Looking at the graph, the line goes through the y-axis at (0,-5) so -5 is your y-intercept.

The slope of the line can be determine by using "rise over run". Find two points on the graph (I used 0,-5 and 1, -2). Count up from -5 to -2 (you get 3), count over from 0 to 1 (you get 1). Rise over run means that the slope equals 3.

Now, you just have to plug the numbers in.

Slope = 3; y-intercept = -5

y = 3x -5

The answer is A.) Y= 3x - 5

Hope this helps. Lmk if you need any more help :)

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3 years ago

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Match each expression with its factored form<br><br>5× + 15<br>

yuradex [85]

Answer : 5(-3+x)

Step on Step equation:

5x-15

Simplifying
5x + -15

Reorder the terms:
-15 + 5x

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + x)

Final result:
5(-3 + x)

Give Brainlest plz

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3 years ago