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AleksandrR [38]
3 years ago
12

Please answer this question

Mathematics
1 answer:
Anarel [89]3 years ago
8 0
The answer is C. 4.1¯6
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Let z= -5 sqrt 3/2 + 5/2i and w=1 + sqrt 3i
MrRissso [65]

a.

z=-\dfrac{5\sqrt3}2+\dfrac52i=5\left(-\dfrac{\sqrt3}2+\dfrac12i\right)=5e^{i5\pi/6}

w=1+\sqrt3\,i=2\left(\dfrac12+\dfrac{\sqrt3}2i\right)=2e^{i\pi/3}

b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying z and w is as simple as multiplying the moduli and adding the arguments:

zw=5\cdot2e^{i(5\pi/6+\pi/3)}=10e^{i7\pi/6}

c. Similar to (b), except now you divide the moduli and subtract the arguments:

\dfrac zw=\dfrac52e^{i(5\pi/6-\pi/3)}=\dfrac52e^{i\pi/2}

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3 years ago
What is a rational number between -1/4 and 2/5
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.20 is a rational number between -1/4 and 2/5.

It can be part of a ratio.

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A fraction

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I hope this helps!
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