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damaskus [11]
3 years ago
10

Find the absolute value of the complex number 4 + 4i.

Mathematics
2 answers:
nadezda [96]3 years ago
8 0
4+4i
(4)^2+(4)^2=32
sqrt(32)=5.66
So your answer would be D
tester [92]3 years ago
5 0
The absolute value of a complex number is called the modulus. This represents the DISTANCE to the origin from the point on the imaginary + real plane. 

the real horizontal distance is 4 and the imaginary vertical distance is also 4. So to figure out this just use the Pythagorean theorem.

4^2 + (4)^2 = c^2 

16+16 = c^2 

c^2 = 32
c = 4sqrt2 = 5.66 or option D.
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3 years ago
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
spin [16.1K]
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.

Explanation

1) Simulate the counting of the bills:

number of bills counted          value              ones digit

1                                             5                         5

2                                             5 + 5 = 10           0

3                                             10 + 5 = 15         5

4                                             15 + 5 = 20         0

5                                              20 + 5 = 25        5

6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
4 0
4 years ago
Kayla has 14.5% of her salary placed into an Individual Retirement Account. What fraction is this?
Monica [59]
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14.5\% = .145
2. Convert Decimal to fraction
\frac{.145}{1000}

4 0
3 years ago
Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added o
Elena-2011 [213]

Answer:

  $793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

  A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

  A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

4 0
2 years ago
Find the direction angle of 3i+1j.<br><br> Please help me. Thank you
Alekssandra [29.7K]

Answer:

Correct answer:  ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

God is with you!!!

4 0
3 years ago
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