<h3>
Answers: 48 and 72</h3>
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Explanation:
The number 12 is a multiple of 3 because 3*4 = 12.
So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.
The multiples of 12 are:
- 12, 24, 36, 48, 60, 72, 84, 96, 120, ...
We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.
Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.
844/12 = 70.333 approximately.
This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.
Only 48 and 72 are multiples of 12 (and also multiples of 3).
Answer:
x = 5
Step-by-step explanation:
4x + 3 = 23
Subtract 3 from both sides;
4x = 20
Divide both sides by 4;
x = 5
Answer:
10/12
Step-by-step explanation:
3/4=9/12
(3*3 and 4*3)
and 9/12<10/12
The volume of the region R bounded by the x-axis is: 
<h3>What is the volume of the solid revolution on the X-axis?</h3>
The volume of a solid is the degree of space occupied by a solid object. If the axis of revolution is the planar region's border and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.
In the graph, the given straight line passes through two points (0,0) and (2,8).
Therefore, the equation of the straight line becomes:

where:
- (x₁, y₁) and (x₂, y₂) are two points on the straight line
Thus, from the graph let assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8), we have:

y = 4x
Now, our region bounded by the three lines are:
Similarly, the change in polar coordinates is:
where;
- x² + y² = r² and dA = rdrdθ
Now
- rsinθ = 0 i.e. r = 0 or θ = 0
- rcosθ = 2 i.e. r = 2/cosθ
- rsinθ = 4(rcosθ) ⇒ tan θ = 4; θ = tan⁻¹ (4)
- ⇒ r = 0 to r = 2/cosθ
- θ = 0 to θ = tan⁻¹ (4)
Then:


Learn more about the determining the volume of solids bounded by region R here:
brainly.com/question/14393123
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