Equation: 3x+9=42
3x=42-9=33
<span>Answer: x=33/3=11
Hope this helps!!
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Answer:
angle B: 39
AC: 7.288
AB: 11.58
(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)
Step-by-step explanation:
To solve this we will use SOH, CAH, TOA
we have the angle and the one opposite to it which means we can use either SOH or TOA
let's use TOA
tan(51)=(9/x)
x= 7.288
We can now use pahtagaryous theroem to solve for the hyptonouse
we have
9²+7.288²=C²
C=11.58
Finally, to find angle B we will recall that the angles of a triangle must add to 180.
51+90+a=180
a=39
The expression that represents the value of z is ![\sqrt[3]{3 + i\sqrt 3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%20%2B%20i%5Csqrt%203%20%7D)
<h3>What are complex numbers?</h3>
Complex numbers are numbers that have real and imaginary parts
A complex number (n) is represented as:

From the above expression, we have:
- a represents the real part
- bi represents the imaginary part
Given that:

Rewrite the above expression as:

Take the cube roots of both sides
![z = \sqrt[3]{3 + i\sqrt 3 }](https://tex.z-dn.net/?f=z%20%3D%20%5Csqrt%5B3%5D%7B3%20%2B%20i%5Csqrt%203%20%7D)
The letters are not given.
Hence, the expression that represents the value of z is ![\sqrt[3]{3 + i\sqrt 3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%20%2B%20i%5Csqrt%203%20%7D)
Read more about complex numbers at:
brainly.com/question/11089283