<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:
The answer would be C) 64 and 112
Step-by-step explanation:
If you go through each answer and find which perimeters they would have, you would get 108 for A, 312 for B, 352 for C, and 372 for D. The question says the perimeter is equal to 352 therefore C is the answer.
Answer:
A minimum of 16 rows are needed
Step-by-step explanation:
Here, we want to calculate the number of rows minimum that could seat 382 people in rows of 24 seats.
Mathematically, what we need to do here is to make a division.
We shall divide the number of people by the number of seats in a row so that we can get the number of rows needed.
Mathematically, that would be; 382/24 = 15 22/24
We are looking at a minimum number.
So we can see that 15 rows will be filled, with an extra 22 seats in the next row leaving only 2 seats in the next row unoccupied.
So we can see that the minimum number of rows required is 16 rows
Answer:105 thats with reducing to
Step-by-step explanation: 15(21/3)
then 15/1 x 21/3 then simplify
15 x 21 over 1 x 3 then simplify 315/3 then reduce then get 105 is your anwser
Was there a typo in the possible answers by any chance? B is closest to the possible answer, but only if the division sign was a multiplication sign.
102 <span>÷ 6 = 17
102 </span><span>÷ 17 = 6
17 x 6 = 102
6 x 17 = 102</span>
