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3 years ago

Can someone tell me what the blue lines mean?

Mathematics

2 answers:

Radda [10]3 years ago

7 0

Answer:

It means the two lines are equal in length.

solmaris [256]3 years ago

5 0

It means that they’re equal to each other, length wise.

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Express the fifth roots of unity in standard form a + bi. with 1 + 0i

marishachu [46]

Answer:

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

Step-by-step explanation:

Fifth Root is given by:

$\sqrt[5]{z}=1+0i$

The above equation will become:

$z=(1+0i)^5$

It can be written as:

$z=[cos(0)+isin(0)]^5$

|z|=1,

According to De-moivre's Theorem:

$z=cos(\frac{0}{5})+isin(\frac{0}{5})\\ z=cos(0)+isin(0)$

Now, Fifth Roots of unity in standard form a + bi :

$\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}$

k=0,1,2,3,4

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

6 0

3 years ago

Use the distributive property to remove the parentheses.<br> -5(-6y+4x-5)

Vitek1552 [10]

Answer:

Distributive property means to multiply the number outside the parentheses to the numbers & variables inside the parentheses.

-5(-6y+4x-5)

= 30y-20x+25

8 0

3 years ago

A regular pentagon has an apothem of 7.3 inches and a perimeter of 53

Vesna [10]

Answer:

The area of the pentagon is 193.45 square inches.

Step-by-step explanation:

In order to solve this question we need to use the appropriate formula for the pentagon's area shown below:

area = (p*a)/2

Where p is the perimeter for the pentagon and a is it's apothem.

area = (53*7.3)/2 square inches

area = 386.9/2 square inches

area = 193.45 square inches

The area of the pentagon is 193.45 square inches.

4 0

4 years ago

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___________: next to or adjoining to something else.

OverLord2011 [107]

Adjacent? i think it’s adjacent

4 0

3 years ago

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How much water is needed to fill a cylinder? This question is asking you to calculate the _____.

densk [106]

Answer:

The answer is volume!!!!!

Step-by-step explanation:

i have the same exact question. Hope this helps!!! :)

7 0

3 years ago