<span>we have that
the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]
we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]
z1=3[cos 110° + i sin 110°]
cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]
z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is
</span>z1=3[cos 110° + i sin 110°]<span>
</span>z2=3[cos 230° + i sin 230°]
z3=3[cos 350° + i sin 350°]<span>
</span>
Answer:
I think its rational
Step-by-step explanation:
Volume of a cylinder is (pi) times radius to the second power times height. <em></em><em />
Radius is half of the diameter, which would be 7.
Volume would be 2770.88<span />
Answer:
Step-by-step explanation:
Let's bring the line in the classical 
form
At this point we have the two values 
for the slope and 
for the intercept
Answer: x=-3
Step-by-step explanation:
First you add 3x+5x cause they are both variables.They equal 8x.
Then you subtract 7x from both sides to get x+17=10
then you subtract 17 from both sides.
you will get x= -3
Hope that helps!
