Answer:
Option 2 is right
Step-by-step explanation:
Given that
We can write this in polar form with modulus and radius
Hence angle = 60 degrees and
Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360
Using Demoivre theorem we get 5th root would be
5th root of 2 multiplied by 1/5 th of 60, 420, 780,....
![z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%5B5%5D%7B2%7D%20%28cos12%2Bisin12%29%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos84%2Bisin84%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos156%2Bisin156%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos228%2Bisin228%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos300%2Bisin300%29%5C%5C)
Out of these only 2nd option suits our answer
Hence answer is Option 2.
Being that the triangle has a center of dilation at (0,0) you must contract the points towards (0,0). The scale factor is 1/3 so you must divide the difference in location of the points on the X and Y axis by a scale of 1/3.
1/3 of 9 = 3 , y = 3
1/3 of -6 = -2 , x = -2
by changing these points a new triangle will be formed
46 burgers is the minimum amount, because there are 23 people who will each eat two burgers.
The answer would be letter B
Answer:
A=2(1+2)a2=2·(1+2)·22≈19.31371
Step-by-step explanation:
hope this helps!
