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kirill115 [55]
3 years ago
8

Two similar cylinders have radii of 7 and 1, respectively. What is the ratio of their volumes? Two similar cylinders have radii

of 7 and 1, respectively. What is the ratio of their volumes? B. 343:1 D. 112:1

Mathematics
2 answers:
Stella [2.4K]3 years ago
7 0

the answers would be B thats what I got for apex

Mnenie [13.5K]3 years ago
3 0
When can we say that two objects are similar? It's when they coincide with at least one dimension. For this case, imagine two concentric cylinders as shown in the attached figure. Both of the figures are similar. The left side coincide with their heights and base circles, while the right side only coincide in the bases of the circles. Since the heights are not specified, let's suppose the heights are equal, denoted as h.

The volume of the cylinder is equal to: V = πr²h. If you want to find the bigger volume to the smaller volume, all you have to do is divide them. Therefore, the ratio is

Ratio = π(7)²h/π(1)²h

Cancel out like terms: π and h. It leaves us with 7² and 1². So, the final answer would be

Ratio = 49

However, the answer is not given in the choices. Therefore, the heights of the cylinders are not equal. There is no way for us to know the exact ratio without the dimensions of the heights. What we can do here is apply reverse engineering. Let's conform the answer to our solution. Suppose the answer is 112:1.

Ratio: 7²*h₂/1²*h₁ = 112
That means h₂/h₁ = 2.285714286

Suppose the answer is 343:1,
Ratio: 7²*h₂/1²*h₁ = 343
That means h₂/h₁ = 7

So, I think the answer is 343:1, because the ratio's of the heights is an exact whole number. This is logical because the dimensions of the heights are also whole numbers.

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ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is (7,2834)

Y-intercept is (0,4682)

X-intercept is (17.73,0)

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

y= -264\ x+4682

where y is the number of stores and x represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution (7,?)

For the ordered pair, we are given the x value which is =7 i.e 7 years after 1990. Thus we will plugin x=7 in the linear equation to get the y value which is number of stores after 7 years from 1990.

y= -264\ (7)+4682

y= -1848+4682

y= 2834

Thus the ordered pair is (7,2834)

To find y-intercept which is the point where the line touches the y-axis, we would plugin x=0 in the equation as the x-coordinate is 0 at y-axis.

y= -264\ (0)+4682

y= 0+4682

y=4682

Thus y-intercept is at point (0,4682)

To find x-intercept which is the point where the line touches the x-axis, we would plugin y=0 in the equation as the y-coordinate is 0 at x-axis and thus for x

0= -264\ x+4682

Subtracting both sides by 4682.

0-4682= -264\ x+4682-4682

-4682= -264\ x

Dividing both sides by -264

\frac{-4682}{-264}= \frac{-264\ x}{-264}

17.73= x

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Thus x-intercept is at point (17.73,0)

5 0
3 years ago
Which model represents 2 x 0.9?
rjkz [21]

Answer:

<h2>Model B</h2>

Step-by-step explanation:

The model needs to show 1.8 because 2 x 0.9 = 1.8. Model B is the only model that shows this.

<em>Hope this helps</em>

5 0
3 years ago
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tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

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<u />

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Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
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20 POINTSSSSSSSSSSS AND BRAINLIESTTTTTTTTTTTTTSSSSSSSSSSSSSS
Setler79 [48]
The answer is C!

2.5, move the decimal four places to the left. You are left with .00025
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Hope this helps!
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