The answer is 7/8 so you would round it to 1.
The volume of the region R bounded by the x-axis is: 
<h3>What is the volume of the solid (R) on the X-axis?</h3>
If the axis of revolution is the boundary of the plane region 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.
From the given graph:
The given straight line passes through two points (0,0) and (2,8). Thus, the equation of the straight line becomes:

here:
- (x₁, y₁) and (x₂, y₂) are two points on the straight line
Suppose we assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8) from the graph, 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
Therefore;
- 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:


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Factor -20x+32
which comes out to 4(-5x+8)
answer: 4(-5x+8)
hope this helped :)
Answer:
$900
Step-by-step explanation:
the steps are above
Given the number of the people attending the football game, the percentage supporters for the home team is 37%.
<h3>What is Percentage?</h3>
Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given the data in the question;
- Number of home team supporters nH = 1369
- Number of visting team supporters nV = 2331
- Percentage of supporters for home team PH = ?
For we determine the total number of people attending the football game;
nT = nH + nV
nT = 1369 + 2331
nT = 3700
Now, using the perecentage formula above, we find the Percentage of supporters for home team PH
Percentage = ( Part / Whole ) × 100%
PH = ( nH/ nT) × 100%
PH = ( 1369/ 3700) × 100%
PH = 0.37 × 100%
PH = 37%
Therefore, given the number of the people attending the football game, the percentage supporters for the home team is 37%.
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