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Black_prince [1.1K]
3 years ago
6

How to solve 4|x+6|greater than or equal to 20

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer: x greater than or equal to -1

Step-by-step explanation:

4|x + 6| greater than or equal to 20

4x + 24 greater than or equal to 20

4x greater than or equal to -4

x greater than or equal to -1

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Find the volume of the composite solid. Round your answer to the nearest tenth
Vesna [10]

Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = \pir^{2} x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = \pi x 8^{2} x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

7 0
3 years ago
What's does nine square equal
Alecsey [184]
To square a number means to multiply it by itself. So 9 squared would be:

9x9

Which is

81

I hope this Helps!
5 0
3 years ago
Read 2 more answers
What is the distance between the points?! round to the nearest tenth i need to show work
Contact [7]

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

5 0
3 years ago
Find the quotient 7.980 divided by 0.19
Advocard [28]
The answer 7980 divided by .19 =/is 42.  
5 0
3 years ago
What is the least common denominator of the four fractions listed below 20 7/10, 20 3/4, 18 9/10, 20 18/25
Feliz [49]
So what you do is see all the denomenators and factor them (denomenaotrs are the bottom numbres)

10,4,10,25
10=2 times 5
4=2 times 2
10=2 times 5
25=5 times 5
we need to include all of them so we need at leas two 2's, and two 5's
2 times 2 times 5 times 5=100
leact common denomator is 100
7 0
3 years ago
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