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jek_recluse [69]
3 years ago
13

Find the product of z1 and z2, where z1 = 2(cos 70° + i sin 70°) and z2 = 4(cos 200° + i sin 200°)

Mathematics
2 answers:
Scilla [17]3 years ago
6 0

Answer: <u>-8i</u>

2(cos 70 + i sin 70) * 4(cos 200 +isin 200)

8 (cos (70+200) + i sin (70+200)     factor a i sin 70 out

8 (cos(270) + i sin (270))

cos 270 is (0,-1)   sin 270 is -1 from the unit circle

cos 270 is 0

8 (0 -i)

<u>-8i</u>

vazorg [7]3 years ago
5 0

Answer:

-8i

Step-by-step explanation:

To multiply numbers is polar form

z1 = r1 ( cos theta 1 + i sin theta 1)

z2 = r2 ( cos theta 2 + i sin theta 2)

z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)

z1 = 2(cos 70° + i sin 70°)

z2 = 4(cos 200+ i sin 200)

z1z2 = 2*4 (cos (70+200) + i sin (70+200)

z1z2 = 8 (cos(270) + i sin (270))

       = 8 (0 + i (-1))

       =-8i

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3 years ago
At a pizza competition, Davonne at two more than twice as many slices as the runner-up. If davonne at 11 slices, then how many s
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5 0
3 years ago
A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting
Zanzabum

Using linear functions, we have that:

A.

For Company A: S_A(n) = 31000 + 3000n

For Company B: S_B(n) = 38000 + 2000n

B. The salaries will be the same after 7 years.

A linear function is given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the initial value.

Item a:

  • For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, b = 31000, m = 3000, and the salary after n years is given by:

S_A(n) = 31000 + 3000n

  • For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, b = 38000, m = 2000, and the salary after n years is given by:

S_B(n) = 38000 + 2000n

Item b:

  • They will be the same after n years, for which:

S_A(n) = S_B(n)

Then

31000 + 3000n = 38000 + 2000n

1000n = 7000

n = \frac{7000}{1000}

n = 7

The salaries will be the same after 7 years.

A similar problem is given at brainly.com/question/24282972

7 0
2 years ago
Brainliest to whom ever answers 100% correctly!!​
s2008m [1.1K]
The answer is A

Hope this helps!
6 0
3 years ago
Read 2 more answers
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