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lilavasa [31]
2 years ago
11

The area of the base of a cylinder is found by dividing the volume of the cylinder by its height. 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? x2 + 3x + 5x (5x2 + 15x + 2) x + 3 + x (x2 + 3x +2)
Mathematics
2 answers:
babymother [125]2 years ago
6 0
<h2><u>Answer:</u></h2>

The Volume of a cylinder is calculated by the following formula (equation 1):


V_{cylinder}=\pi r^{2}h     (1)



Where r is the radius of the circle that is the base of the cylinder  and  h the height.



If we divide equation (1) by h we obtain the area of the circle, as shown in equation (2):



A_{circle}=\pi r^{2}     (2)



Now, we know the volume of the cylinder in this problem is expressed as:


V_{cylinder}=5x^{2}+15x+2     (3)



And its height as:


h=5x     (4)



Knowing this, let’s find the area of the base (area of a circle):



\frac{5x^{2}+15x+2}{5x}



If we divide each term by the common denominator we have:


\frac{5x^{2}}{5x}+\frac{15x}{5x}+\frac{2}{5x}



Simplifying we finally have:


x+3+\frac{2}{5x}  >>>>> This is the expression of the area of the base





stiks02 [169]2 years ago
4 0
The answer is x+3+2/5x
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Answer:

Option A will be the answer.

Step-by-step explanation:

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6 0
2 years ago
Benito wrote the equations shown about the figure. Explain Benito’s errors.
Minchanka [31]

Answer:

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Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

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