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4 years ago

Which agency is responsible for promoting the welfare and opportunities of wage earners?

Mathematics

2 answers:

Art [367]4 years ago

4 0

The Department of Labor or DOL

Alja [10]4 years ago

3 0

"The department of labor fosters"

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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.

slava [35]

Answer:

After solving the power:

$\bold{2(cos60^\circ+isin60^\circ)}$

Rectangular form:

$\bold{1+i\sqrt3}$

Step-by-step explanation:

Given the complex number:

$2(cos20^\circ+isin20^\circ)^3$

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as $a+ib$ where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

$(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )$

First of all, let us solve:

$(cos20^\circ+isin20^\circ)^3$

Let us apply the De Moivre's Theorem:

Here, n = 3

$(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ$

Now, the given complex number becomes:

$2(cos60^\circ+isin60^\circ)$

Let us put the values of $cos60^\circ = \frac{1}{2}$ and $sin60^\circ = \frac{\sqrt3}{2}$

$2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }$

So, the rectangular form of the given complex number is:

$\bold{1+i\sqrt3}$

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3 years ago

Find the value of x. Then classify the triangle

vredina [299]

So basically what you have to do is

5 0

3 years ago

After 12 days you have 800 lbs of plutonium left to fuel your nuclear reactor. After 30 days you have 755 lbs. Find the equation

Fantom [35]

M=(755-800) /30-12
m= -45/18 or -2.5

y-800 = -2.5(x-12)
y-800 = -2.5x + 30
y = -2.5x + 830

y = -2.5(120) + 830
y = 530 lbs

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3 years ago

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Lelechka [254]

In standard form it would be 693.

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algol [13]

Answer:

Step-by-step explanation:

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