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3 years ago

Please help needed immediately

Mathematics

1 answer:

lukranit [14]3 years ago

5 0

All of them or a specific one?

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Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).

Oduvanchick [21]

For two complex numbers $z_1=re^{i\theta}=r(\cos\theta+i\sin\theta)$ and $z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi)$ , the product is

$z_1z_2=rse^{i(\theta+\varphi)}=rs(\cos(\theta+\varphi)+i\sin(\theta+\varphi))$

That is, you multiply the moduli and add the arguments. You have $z_1=7e^{i40^\circ}$ and $z_2=6e^{i145^\circ}$ , so the product is

$z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}$

3 0

3 years ago

Read 2 more answers

Anna bowled 5 games today. All of her scores were within 15 pins of her average score of 222. The absolute value equation that c

KiRa [710]

Answer:

237

Step-by-step explanation:

7 0

3 years ago

How do I solve this problem ?

Nonamiya [84]

Answer:

$19.99 for each cartridge.

Step-by-step explanation:

For this problem, we are finding the cost of the three printer cartridges. Since the problem says that the tax was 5.95, we can subtract that from 90.91.

90.91-5.95=

84.96

Next, since we know that the software package was 24.99, we can subtract that from 84.96.

84.96-24.99=

59.97

Finally, since there are three printer cartridges, we can divide 59.97 by 3, and get our answer.

59.97/3=

19.99

Each printer cartridge would cost $19.99.

Hope this helps and have a good day! :D

8 0

1 year ago

What percentage is equal to the fraction 4 over 25?

Vikki [24]

4/25 = 0.16. 0.16 is equal to 16%

5 0

3 years ago

On a number line, suppose point E has a coordinate of 4, and EG = 11. What are the possible coordinates of point G?

navik [9.2K]

Answer:

-7, 15

Step-by-step explanation:

The positive difference between E and G is 11.

<h3>Solution</h3>

G - E = 11

G = 11 + E = 11 + 4

G = 15 . . . . . . . . . . . . . when G is right of E

E - G = 11

E - 11 = G = 4 - 11

G = -7 . . . . . . . . . . . . when G is left of E

Possible coordinates for G are -7 and 15.

4 0

2 years ago