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vlabodo [156]
3 years ago
6

Solve the inequality. 22−2x<38 Which answer represents the solution set?

Mathematics
1 answer:
algol [13]3 years ago
3 0

Answer:

x >-8

Step-by-step explanation:

22−2x<38

Subtract 22 from each side

22-22−2x<38-22

-2x < 16

Divide each side by -2, remembering to flip the inequality

-2x/-2 > 16/-2

x >-8

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What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

5 0
3 years ago
Read 2 more answers
Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95.
Salsk061 [2.6K]

Answer: Diego buys about 3 pounds of blueberries, b

Step-by-step explanation: Lets write an equation to solve for b, how many pounds of blueberries he bought.

4.99b=14.95

Solve:

4.99b divided by 4.99 = 14.95 divided by 4.99

b = 3

6 0
3 years ago
Find the value of each variable in the circle to the right. The dot represents the center of the circle.
MrMuchimi

9514 1404 393

Answer:

  a = 57.5

  b = 90

  c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

__

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

__

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

  (a, b, c) = (57.5, 90, 65)

4 0
2 years ago
What is (15x-12)+(5x-18)=180 what is x
MissTica
<span>x = 21/2

or if you want it a decimal

x = 10.500</span>
8 0
3 years ago
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
zaharov [31]
Next time study more! I know its hard but you can do it keep trying ur best :)
5 0
3 years ago
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