Choose the solution to this inequality.
2 answers:
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Answer:
The area of a horizontal cross section at a height is
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data
Put the value into the formula
We need to calculate the area of a horizontal cross section at a height y
Using formula of area
Put the value into the formula
Hence, The area of a horizontal cross section at a height is
First, ignore the inequality symbols and graph the equation normally. Taking random values of x, you get corresponding values of y. Plot the y values against x. The line is graphed as shown in the picture.
Next, you test the inequality. Choose any random point in the graph that is not along the line. Suppose the point is at (2,0). Substituting to the equation
<span>y</span>≤<span>2/3x+1
0 ? 2/3(2) + 1
0 </span>≤<span> 2.333
It makes the given equation true. This means point (2,0) and everything in that area under the line are part of the solution. So, we shade this part which means all points within that area are part of the solution.</span>
Next, you test the inequality. Choose any random point in the graph that is not along the line. Suppose the point is at (2,0). Substituting to the equation
<span>y</span>≤<span>2/3x+1
0 ? 2/3(2) + 1
0 </span>≤<span> 2.333
It makes the given equation true. This means point (2,0) and everything in that area under the line are part of the solution. So, we shade this part which means all points within that area are part of the solution.</span>