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NNADVOKAT [17]
3 years ago
11

Plz help and thank you:)

Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

I believe it is D at least I hope so

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Find the product of z1 and z2, where z1 = 2(cos 80° + i sin 80°) and z2 = 9(cos 110° + i sin 110°)
nekit [7.7K]
ANSWER

z_1 z_2=18( \cos( 190 \degree  )  + i \sin( 190 \degree) )


EXPLANATION

The given complex numbers are;

z_1 = 2( \cos(80 \degree)  + i \sin(80 \degree) )

and


z_2= 9( \cos(110 \degree)  + i \sin(110 \degree) )


Recall the binominal identity for complex numbers in polar form.



z_1 z_2=r_1 r_2( \cos( \theta_1 +\theta_2)  + i \sin(\theta_1 +\theta_2) )



We apply this property to obtain,


z_1 z_2=2 \times 9( \cos( 80 \degree +  110 \degree  )  + i \sin(80 \degree +  110 \degree) )



z_1 z_2=18( \cos( 190 \degree  )  + i \sin( 190 \degree) )

4 0
4 years ago
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mr_godi [17]
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3 years ago
A person invested $510 in an account growing at a rate allowing the money to double every 9 years. How long, to the nearest tent
serg [7]

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The answer would be
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What property is illustrated in the following statement? If DF= FG and FG=GH, then DF=GH. pls help
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Its a parallelogram

Step-by-step explanation:

Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.

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