Hello.
The answer choice that is correct is answer choice "B.)"
Let's explain why.
For starters, our original image starts in the first quadrant of the graph. Our transformation is on the second quadrant. Let's take a look at our sharp edges of the first image: (4,2); (7,5); (3,7); and (2,4). If we were to turn it 90 degrees counterclockwise, we end up with our transformation image that has the sharp edges of (2,4); (5,7); (7,3); and (4,2). If you'd like to make this a more simple concept, put out your hand and turn it counterclockwise of 90 degrees and imagine your original image.
I hope this helps!
Coefficient of variation is the ratio of the standard deviation to the mean (average)
Coefficient of variation = (standard deviation/mean) × 100
![CV= \frac{30}{40}](https://tex.z-dn.net/?f=CV%3D%20%5Cfrac%7B30%7D%7B40%7D%20)
×
![100](https://tex.z-dn.net/?f=100)
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Answer:
Step-by-step explanation:
7,802 in
You need to do 7 divided by 3 so that you get a third of 7 and therefore your answer.
Answer:
The length of the hypotenuse of this triangle is 150√2 mm.
Step-by-step explanation:
Consider the square ABCD shown in the image below.
The sides are 150 mm each.
All the angles of a square are 90°.
Now The square is folded in half along the diagonal BD.
The angles A, B and D are: 45°, 45° and 90°.
The hypotenuse of the right angled triangle is BD.
Compute the length of BD using the pythagoras theorem as follows:
![BD^{2}=AB^{2}+AD^{2}\\=150^{2}+150^{2}\\=2\times 150^{2}\\BD=\sqrt{2\times 150^{2}}\\=150\sqrt{2}](https://tex.z-dn.net/?f=BD%5E%7B2%7D%3DAB%5E%7B2%7D%2BAD%5E%7B2%7D%5C%5C%3D150%5E%7B2%7D%2B150%5E%7B2%7D%5C%5C%3D2%5Ctimes%20150%5E%7B2%7D%5C%5CBD%3D%5Csqrt%7B2%5Ctimes%20150%5E%7B2%7D%7D%5C%5C%3D150%5Csqrt%7B2%7D)
Thus, the length of the hypotenuse of this triangle is 150√2 mm.