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Karolina [17]
3 years ago
10

Which value of x is a solution of the inequality? ​

Mathematics
1 answer:
Goryan [66]3 years ago
8 0
3X -3 => 9
3X => 9+3
3X => 12
3X/3 => 12/3
X => 4
tell me if you don't understand
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(I've been trying to figure this out for 3 days and I really need help)
liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

1)

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7

2)

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55

3)

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

4)

pretty much the same thing, we get the volume of the cone and its top, add them up.

\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^

8 0
3 years ago
The volume of a cylinder with a height of 25cm and a radius of 20cm
pentagon [3]

Answer:

5652 cm³

Step-by-step explanation:

V = 2πr² + 2πrh

  = (2 × 3.14 × 3.14 × 20 ×20) + (2 × 3.14 × 20 × 25)

  = 2512 + 3140

  = 5652 cm³

7 0
3 years ago
A basketball backboard set that sold for $79 is discounted 15%. what is the sale price​
Georgia [21]

Answer:

67.15

Step-by-step explanation:

Procedure:

The rate is usually given as a percent.

To find the discount, multiply the rate by the original price.

To find the sale price, subtract the discount from original price.

8 0
3 years ago
Sarah is wrapping the rectangular prism box for her Valentine. She calculated how many square meters of wrapping paper she would
AnnyKZ [126]

Answer:

She probably was supposed to multiply, instead of add.

Step-by-step explanation:

First multiply 24 and 32, which is 768.

Second multiply 768 and 12, which is 9216

9216 is the answer.

7 0
2 years ago
6 x 2/3 x 2 1/2 = what plss help
Afina-wow [57]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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