Answer:
y = -8
Step-by-step explanation:
y+2=-6
-2 -2
y=-8
<span>Draw a triangle and label is ABC.
Let angle A = x
let angle B = x
let angle C = 2x - 36
2x - 36 means that angle C is 36 degrees less than the sum of angle A and B.
Since the sum of the interior angles of a triangle is 180 degrees, then 2x + 2x - 36 = 180.
combine like terms in that equation and you get 4x - 36 = 180
add 36 to both sides of that equation and you get 4x = 216
divide both sides of that equation by 4 and you get x = 54 degrees
angle A = 54 degrees
angle B = 54 degrees
angle C = 108 - 36 = 72 degrees
54 + 54 + 72 = 108 + 72 = 180 degrees so the angles are good because
they add up to 180 degrees and the third angle is 36 degrees less than
the sum of the other 2.
</span>
Answer:
Hello how are you?
Step-by-step explanation:
The product is equal to:
![\frac{18}{25}(cos(165) + i*sin(165))](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B25%7D%28cos%28165%29%20%2B%20i%2Asin%28165%29%29)
<h3>
How to solve the product?</h3>
Remember that we can write a complex number in polar form as:
![R*e^{i*a} = R*(cos(a) + i*sin(a))](https://tex.z-dn.net/?f=R%2Ae%5E%7Bi%2Aa%7D%20%3D%20R%2A%28cos%28a%29%20%2B%20i%2Asin%28a%29%29)
Then the given product:
![\frac{6}{5}*(cos(120) + i*sin(120))*\frac{3}{5}*(cos(45) + i*sin(45))](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B5%7D%2A%28cos%28120%29%20%2B%20i%2Asin%28120%29%29%2A%5Cfrac%7B3%7D%7B5%7D%2A%28cos%2845%29%20%2B%20i%2Asin%2845%29%29)
can be rewritten to:
![(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B5%7D%2Ae%5E%7Bi%2A120%7D%29%2A%28%5Cfrac%7B3%7D%7B5%7D%2Ae%5E%7Bi%2A45%7D%29)
Now is easier to solve the product:
![(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})\\\\= \frac{6}{5} *\frac{3}{5} *e^{i*(120 + 45)}\\\\= \frac{18}{25}*e^{i*165}\\\\= \frac{18}{25}(cos(165) + i*sin(165))](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B5%7D%2Ae%5E%7Bi%2A120%7D%29%2A%28%5Cfrac%7B3%7D%7B5%7D%2Ae%5E%7Bi%2A45%7D%29%5C%5C%5C%5C%3D%20%5Cfrac%7B6%7D%7B5%7D%20%2A%5Cfrac%7B3%7D%7B5%7D%20%2Ae%5E%7Bi%2A%28120%20%2B%2045%29%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B18%7D%7B25%7D%2Ae%5E%7Bi%2A165%7D%5C%5C%5C%5C%3D%20%20%5Cfrac%7B18%7D%7B25%7D%28cos%28165%29%20%2B%20i%2Asin%28165%29%29)
If you want to learn more about complex numbers:
brainly.com/question/10662770
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