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Firlakuza [10]
3 years ago
14

NEED HELP HERE ASAP 6. Find the cube roots of 27(cos 330° + i sin 330°).

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0
<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>
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216 seats are filled

Step-by-step explanation:

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24+216=240

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A line passes through (-1,5) and (1,3) what is the equation of the line
chubhunter [2.5K]

Answer:

y = -x + 4

Step-by-step explanation:

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(1,3)....x2 = 1 and y2 = 3

slope(m) = (y2 - y1) / (x2 - x1) = (3 - 5) / (1 - (-1) = -2 / (1 + 1) = -2/2 = -1

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u can use either of ur points...I will use (1,3)...x = 1 and y = 3

now we sub and find b, the y int

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4 0
3 years ago
Please help........................
VashaNatasha [74]

Answer:

<h2>m∠ABD = 20°</h2>

Step-by-step explanation:

If m∠ABC = 40° and BD is the bisector of ∠ABC, then

(1) m∠ABD = m∠DBC

(2) m∠ABC = m∠ABD + m∠DBC

From (1) and (2) we have:

m∠ABC = 2m∠ABD

Therefore

2m∠ABD = 40°       <em>divide both sides by 2</em>

m∠ABD = 20°

3 0
3 years ago
7.8 billion pounds of candy per year how much per month per person with 303 million people
likoan [24]
7.8 billion/12 is how much per month:
7,800,000,000/12 = 650,000,000 candy per month.


To find out per person, divide the total amount of candies by the months in a year, then divide that amount to the population.
7,800,000,000/12 = 650,000,000
650,000,000/303,000,000 = 2.14 (Round down) = 2

Answers:
Per month: 650,000,000 candies
Per person: 2 candies
8 0
3 years ago
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