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zaharov [31]
2 years ago
12

Suppose that you want to design a cylinder with the same volume as a given cylinder but you want to use a diff radius and height

in general terms can you change r and h to produce the same volume for both cylinders
Mathematics
1 answer:
Anton [14]2 years ago
5 0

Answer:

Yes, r and h can be changed to produce same volume by;

Increasing "r" and decreasing "h" or by decreasing "r" and increasing "h".

Step-by-step explanation:

What the question is simply asking is if we can get same volume of a particular cylinder if we change the radius and height.

Now, volume of a cylinder is;

V = πr²h

Now, for the volume to remain the same, if we increase "r", it means we have to decrease "h", likewise, if we decrease "r", we now have to increase "h".

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2 years ago
Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
2 years ago
There are 3000 people at a concert you survey a random sample of 200 people and find that for 35 of them this is their first con
Ipatiy [6.2K]
Ok so
ratio
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7/40=x/3000
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2100=4x
divide both sides by 4
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aprox 525 people
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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