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2 years ago

Really confused with this one it is related with similar triangles please help

Mathematics

1 answer:

Nonamiya [84]2 years ago

6 0

Answer:

x=20

y=70/3 which is about 23.3

Step-by-step explanation:

Write a proportion of all similar sides

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Use DeMoivre's theorem to evaluate the expression

natima [27]

Answer:

B. $\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}$

Step-by-step explanation:

DeMoivre's theorem:

If the complex number $z=r(\cos \alpha+i\sin\alpha),$ then for natural number n

$z^n=r^n(\cos n\alpha+i\sin n\alpha).$

In your case,

$z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)$

and you have to evaluate $z^4.$

By DeMoivre's theorem,

$z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.$

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2 years ago

Which situation can be modeled by the equation y=3x+25

Gnesinka [82]

For this case we have the following situation:

The monthly cost of a gym in the city is $ 3. The initial registration is $ 25. Write a mathematical expression that models the problem.

So we have to define variables:

x: number of months

y: total cost

The mathematical expression that models the problem is:

$y = 3x + 25$

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2 years ago

Hello i need urgent help with this assignment.

Mars2501 [29]

Answer:

AD = 1 3/4y + 5/8x - 3

Step-by-step explanation:

AD = 1/4x + 2y + 3 - 1/4y + 3/8x - 6

combine like terms:

AD = 1 3/4y + 5/8x - 3

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Fudgin [204]

Answer:

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Step-by-step explanation:

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2 years ago

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bagirrra123 [75]

The answer is two numbers

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