3 years ago

In a box of sweet 1/4 of sweets are green.The rest are orange.What is the ratio of orange sweets to green sweats

Mathematics

1 answer:

melomori [17]3 years ago

7 0

1:3 is the ratio because if 1/4 are green then 3/4 are orange

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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,

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

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

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4 years ago

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Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0.55x to determine the cost, c, for x cupcakes. Which

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