3 years ago

Find the area of each circle round to the nearest tenth use 20 yard

Mathematics

1 answer:

stiv31 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

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Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}

miskamm [114]

Answer:

$-3+i\sqrt{3} , 1+\sqrt{3}$

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

$\alpha = x+iy\\\beta = x-iy$

since they are conjugates

$\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}$

$\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}$

Imaginary part of the above =0

i.e. $\sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1$

So the value of alpha = $-3+i\sqrt{3} , 1+\sqrt{3}$

3 0

3 years ago

If I had n dollars in my bake account and deposited $132 what's an expression to represent the total amount I have

Deffense [45]

Answer:

T = n + 132

Step-by-step explanation:

Initially you have n dollars in your bank account.

Since the question doesn't ask or concern the future or present value of money, after depositing $132 you will totally (T) have:

T = n + 132

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3 years ago

Please help me!! I’ll give brainliest

Natasha2012 [34]

Answer:

the sinθ is 4√17 / 53.6

Step-by-step explanation:

All the steps are on the image :)

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3 years ago

If the area of a circle is 81π, then what is the diameter of the circle?

viva [34]

Answer:

Step-by-step explanation:

81π=πr^2

r= 9,-9

9+9=18

7 0

3 years ago

In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her

Furkat [3]

20-10= 10 + 25 = 35!!!

5 0

3 years ago