<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: ABC seem to be equilateral
so A=B=C=60
D=42
E=35
F=35
G=55
H=45
I=45
j=15
k=15
L=75
M=180
N=11
O=35
P=11
Q=55
R=55
S=32
T=32
U=69
Step-by-step explanation:
Hey user!!
your answer is here (-:
given :- eleven less than x ( x - 11 ) = twenty three
final answer = x - 11 = 23
correct option is D. x - 11 = 23
if u need the value of x too, then Answer is :-
x - 11 = 23
x = 23 + 11
x = 34
cheers!!
The answer would be c (w = 12 feet)!