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Ipatiy [6.2K]
3 years ago
12

HELP IM SO SORRY IJAGEHQKSHAQHGSVWHSBWBSNSJWBSBEJEJEJEJJEEJ JUST HELP. JUST HELP ME OGMFBSBSBGSGSBSBANSJSJSJS NUMBERS 13 and 14!

?!!,!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
14.The answer is 10 Celsius
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What are the fourth roots of 6+6√(3i) ?
Helen [10]

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

8 0
3 years ago
The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

6 0
3 years ago
What’s the inequality of N<-1
Juliette [100K]

Answer:

ℎℎ ℎ

Step-by-step explanation:

ℎℎℎℎ ℎ <em /><em /><em /><em /><em /><em /><em /><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u> </u></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em><em><u> </u></em><em><u>ℎ</u></em><em><u /></em><em><u /></em><em><u /></em><em><u /></em>

7 0
2 years ago
How many solutions does 2(x-3)=10x-6-8x
Step2247 [10]

Answer: Infinitely many

Step-by-step explanation: 2(x-3)=10x-6-8x

2x-6=10x-6-8x

2x-6=2x-6

4 0
3 years ago
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