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avanturin [10]
2 years ago
6

Diagonal of a square is 4 root 2. Find the length of a side of a square

Mathematics
1 answer:
rosijanka [135]2 years ago
4 0

Check the picture below.

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}

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Artist 52 [7]

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

The best way to decide the appropriate interval would be to find the range of the numbers.

We have given a data set,

<h3>What is the smallest value in the data?</h3>

The minimum is the smallest value in the data set. The maximum is the largest value in the data set.

<h3>What is the largest minus the smallest? </h3>

This would be 69-42=27.

If you need six intervals you would need to round 27 up to 30 to be able to divide it out evenly and include all of the data.

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

This way you are one over and one under the highest and lowest values.

Therefore, The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

To learn more about the interval visit:

brainly.com/question/12221823

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4 0
2 years ago
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ddd [48]
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4 0
2 years ago
What is 3/b=5/20 b=?
MArishka [77]

Answer:

b= 12

Step-by-step explanation:

3/b = 5/20

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3 years ago
Zachary's final project for a collage course took a semester to write and had 95,234 words. Zachary wrote 35,295 words he first
Nina [5.8K]
Okay so I don't know what you're trying to find out here, but if you're trying to find out how many words he has left after writing those two months, all you have to do is add. 35, 295 + 19, 240 and should get 54, 535. Then you subtract 95,234 - 54,535 and get 40,699.. So Zachary has 40,699 words left to write
6 0
3 years ago
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