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Masteriza [31]
3 years ago
14

The 12th roots of unity have arguments that are multiples of _____.

Mathematics
2 answers:
vodomira [7]3 years ago
6 0

Unity is any complex number which when raised to the power 'n' gives 1. Unity means angle around a point.

the angle is 360

for 12th root of unity, we divide the angle in 12 parts, so each part = 360/12= 30

so the arguments of 12th root of unity are multiples of 30 degrees.

kirill [66]3 years ago
5 0
360/12 = 30deg...so the arguments are multiples of 30deg.

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Combine like terms. 3w-3w=0. 8+2-8=2. So the answer is 2. I hope this helps!
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3 years ago
A season has96 home games. If you purchase a season ticket in the bleacher section, what is the cost per game,in dollars, for th
sattari [20]

Answer:

$8.4375 per game

Step-by-step explanation:

From. The picture attached :

Season long Ticket cost for the bleachers sitting area is : $810

Given that the number of home games in a season is 96

The cost per unit of game could be calculated as :

Cost of season long Ticket / number of home games

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5 0
3 years ago
Find the final amount. ​$4000 invested at 11​% APR compounded quarterly for 5 years The final amount is ​$ nothing. ​(Do not rou
Angelina_Jolie [31]
<h3>The final amount is $ 6881.71</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1 + \frac{r}{n})^{nt}

Where,

A = the future value of the investment

P = the principal investment amount\

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 4000

t = 5

r = 11 \% = \frac{11}{100} = 0.11

n = 4 ( compounded quarterly )

<em><u>Substituting the values in formula,</u></em>

A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71

Thus the final amount is $ 6881.71

5 0
3 years ago
Can someone help me with this ? Thanks
olasank [31]

Answer:

Type of angle - Obtuse

Key information - 180° - 82° = 98° (missing angle)

Equation - (5y+12)=98 y=17.2

Step-by-step explanation:

Let's solve for the missing angle first! 180° - 82° = 98°. 180 represents the total among the angles so we use 180 degrees.

then use the statement to solve for y and make it equal to 98°

(5y+12)=98

(5y-12)  = -12          subtract 12 from both sides

(5y)           =  86        Now solve for y by dividing 86 ÷ 5

y = 17.2                      

5 0
3 years ago
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Multiplications that give 35

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3 0
2 years ago
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