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zepelin [54]
3 years ago
9

Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0

Given:

The scale factor between two circles is \dfrac{2x}{5y}.

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2

\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}

\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}

Therefore, the correct option is D.

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Estimate the perimeter and the area of the shaded figure to the nearest whole number
ollegr [7]

Answer:

See below ~

Step-by-step explanation:

<u>Perimeter</u>

  • 2(6 + 8)
  • 2(14)
  • <u>28</u> units

<u>Area</u>

  • 2(4 x 2) + 2(8)
  • 4(8)
  • <u>32</u> square units
7 0
1 year ago
What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
Read 2 more answers
Camille stopped at the grocery store to buy milk. While at the store, she spotted cans of soup on sale for $2.25 each. If the mi
Mrrafil [7]
$2.25x+$3.50=$35

so, $35-$3.50=$31.50

Then you divide $31.50 by $2.25

That equals 14

So, x=14
8 0
3 years ago
Kristy ran a mile in 6.58 minutes. She ran her second mile in 7.15 minutes. What was the time difference between her first and s
Veseljchak [2.6K]

Answer:

17 seconds

Step-by-step explanation:

7.15 minus 6.58 is .17 or 17 seconds

6 0
3 years ago
Read 2 more answers
Need help on graphing problem
aivan3 [116]
J is your answer.

Slope is rise over run + your Y intercept.

Your y- intercept is the point in the graph in which the line passes through, the line passes through -2, so you know -2 is going to be your answer at the end. And slope is rise/run.

From one point to another, you rise 1 time , and run over 3 so you know your answer is

y = 1/3x - 2

hope this helps :)
3 0
2 years ago
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