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Rashid [163]
3 years ago
6

Which of the following sets show all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4

< 29?
{4, 5, 6}
{3, 4 , 5}
{3, 4 }
{3}​
Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer:

3,4

Step-by-step explanation:

Vesna [10]3 years ago
4 0

Replace x with the possible answers and solve to see which ones make the equation true:

5(3) = 15 + 4 = 19. 19 is < 29 so 3 works.

5(4) = 20 + 4 = 24. 24 is < 29, so 4 also works.

5(5) = 25 + 4 = 29. 29 is not less than 29 so doesn't work.

Only 3 and 4 will work.

The answer would be {3,4}

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Step-by-step explanation:

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3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
4 years ago
How do you find the surface area and volume of a cylinder ​
galina1969 [7]
<h2>Answer:</h2>

The surface area of a shape is the sum of the area of all of its faces. To find the area of a cylinder, you need to find the area of its bases and add that to the area of its outer wall. The formula for finding the area of a cylinder is A = 2πr2 + 2πrh.

<h2>Step-by-step explanation:</h2>
  • Surface area of a cylinder = 2πr 2 + 2πrh
  • Volume of a cylinder = πr 2 h
  • You need to know the radius and height to figure both the volume and surface area of a cylinder.
  • Answers for volume problems should always be in cubic units.
  • Answers for surface area problems should always be in square units.
5 0
2 years ago
Read 2 more answers
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