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2 years ago

animals at a petting zoo: chickens 2, deer 4, donkey3, goats6 what is the ratio of goats to the number of animals

Mathematics

1 answer:

vitfil [10]2 years ago

3 0

6:15 is the ratio of goats to anumals

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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

How can ΔABC be mapped to ΔXYZ?

avanturin [10]

Answer: (B) vertex B vertex Y

Step-by-step explanation:

Just Thought I Should Help Anyone Out For GEOMETRY ; ) BTW im a girl

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2 years ago

Read 2 more answers

Que alguien me ayude cuanto hace q yo sali de escuela

swat32

Answer:

a=20 m²

b=21 cm²

c=36 dm²

Step-by-step explanation:

A) 12²+16²=a²

144+256=a²

400=a²

√400=a

a=20

B) 28²+b²=35²

784+b²=1225

b²=1225-784

b²=441

b=√441

b=21

C) c²+15²=39²

c²+225=1521

c²=1296

c=√1296

c=36

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2 years ago

Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.

LiRa [457]

3x - y = 0 . . . (1)
5x + 2y = 22 . . . (2)

From (1), y = 3x . . . (3)

Putting (3) into (2) gives:
5x + 2(3x) = 22
5x + 6x = 22
11x = 22
x = 2

From (3), y = 3(11) = 33

x = 11, y = 33.

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2 years ago

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Monica [59]

Answer:

idk im dumb just like you dude

Step-by-step explanation:

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2 years ago