<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:
a. 6
b. 7
c. (b) Kira's
why? b. it has the large sample size
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
12% is also known as 0.12 which we can multiply by $98 to get the answer.
(hope this helps)
Answer:
The answer is 8
Step-by-step explanation:
12*10=120 120/15=8
5.) Answer: 0.45
Step-by-step explanation:
There is 1.5 quarts of paint, and 30% is yellow.
30% of 1.5 is 0.45.
6.) Answer: 7.198
Step-by-step explanation:
$499.99 is 100%. We need to find $35.99 off of it in percentage.
499.99/35.99 = 100/x
499.99x = 3599, x = 3599/499.99
x ≈ 7.198
