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AURORKA [14]
3 years ago
10

The Venn diagram represents the relationship between the sets and subsets of rational numbers.

Mathematics
2 answers:
Pani-rosa [81]3 years ago
8 0

Answer:

D or c

Step-by-step explanation:

Done this in 5th grade my guy

mina [271]3 years ago
3 0

Answer:

its c

Step-by-step explanation:

took the test

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Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ \sqrt[n]{z} =  \sqrt[n]{a} \ (cos \  \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )
k= 0, 1 , 2, ..... , (n-1)


For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = \sqrt[4]{z} =  \sqrt[4]{81} = 3

Part (b) find the angle for each of the four roots

The angle of the given complex number = \frac{3 \pi}{8}
There is four roots and the angle between each root = \frac{2 \pi}{4} =  \frac{\pi}{2}
The angle of the first root = \frac{ \frac{3 \pi}{8} }{4} =  \frac{3 \pi}{32}
The angle of the second root = \frac{3\pi}{32} +  \frac{\pi}{2} =  \frac{19\pi}{32}
The angle of the third root = \frac{19\pi}{32} +  \frac{\pi}{2} =  \frac{35\pi}{32}
The angle of the  fourth root = \frac{35\pi}{32} +  \frac{\pi}{2} =  \frac{51\pi}{32}

Part (C): find all of the fourth roots of this

The first root = z_{1} = 3 ( cos \  \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})
The second root = z_{2} = 3 ( cos \  \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})

The third root = z_{3} = 3 ( cos \  \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})
The fourth root = z_{4} = 3 ( cos \  \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})
7 0
3 years ago
What are the solution
AleksandrR [38]

Answer:

B

Step-by-step explanation:

We can get two equations from the inequality:

3x+2>9\\3x+2>-9

We just need to simplify both equations to get our answers:

3x+2>9\\3x>7\\x>\frac{7}{3}

3x+2>-9\\3x>-11\\x>\frac{-11}{3}

The two answers we get are:

x\frac{7}{3}

Which is also B.

3 0
2 years ago
A patient was ordered to receive 2 pints of blood via a transfusion. How much blood is to be transfused in milliliters?
vagabundo [1.1K]

Answer:

2 pints of blood =946mililiters

Step-by-step explanation:

1 Pint =473mililters

so either 473+473=

or 473x2

2 pints of blood =946mililiters

6 0
3 years ago
A pastry chef bought a 0.26 liter container of vanilla extract for baking. If she uses 1 millimeter of vanilla in each batch of
Lynna [10]
Multiple 0.001*26 to get the answer of 0.026 

6 0
3 years ago
Read 2 more answers
12. Find the values of x and y in the diagram below.
ehidna [41]

Answer:

x = 15

y = 19

8 0
2 years ago
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