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jeka94
4 years ago
13

If the volume of the cylinder is represented by 5x2 + 15x + 2 and the height is 5x, which expression represents the area of the

base?
Mathematics
1 answer:
Gwar [14]4 years ago
4 0
Given:
V = 5x² + 15x + 2,  the volume
h = 5x,  the height

Let A = the area of the base.
Because V = Ah, therefore
A*(5x) = 5x² + 15x + 2
A =  \frac{5x^{2}+15x+2}{5x}

Answer:
A=x+3+ \frac{2}{5x}
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Answer:

<em>Choice B. 16 feet.</em>

<em>The height of the tree is 16 ft</em>

Step-by-step explanation:

<u>Similar Triangles</u>

Similar triangles have their corresponding side lengths proportional by a fixed scale factor.

We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.

Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.

Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.

Choice B. 16 feet

The height of the tree is 16 ft

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N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m
Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

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First, we use the formula below to find the slope of the line

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10

Therefore, the time needed is 10 months.

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