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2 years ago

I will give you a brainlyist if you salve and 50 points and 5 stars plz help

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

4 0

Answer:

1. X= 56

2. X= -11/2 (When you solve you get this if you need it as a mixed number it's X= -5 1/2

Step-by-step explanation:

simplifying means: Reducing to lowest terms.

To solve for x simplify both sides of the equation, then isolate the variable.

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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:

$\bold{1+i\sqrt3}$

3 0

3 years ago

Find the are of the ABC triangle

Shtirlitz [24]

The answer is for the question is 7

6 0

2 years ago

Read 2 more answers

Plz do it for meee x

SpyIntel [72]

Answer:

2,400cm²

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID = L×B× H

WHERE L is LENGTH =20cm

B=15cm

H= 8cm

:• VOLUME=20cm ×15cm ×8cm

=2,400cm²

6 0

3 years ago

Read 2 more answers

In your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and yo

Contact [7]

Answer:

1/2

Step-by-step explanation:

There are 12+12 = 24 socks in the drawer

P(yellow) = number of yellow socks/ total socks

= 12/24

=1/2

6 0

3 years ago

(Variables on both sides of an equation)

kompoz [17]

Start by expanding the left side of the equation: -2(4x-7) is equal to -8x + 14.

This brings you to -8x+14 = -8x + 14.

Now add 8x to both sides. This brings you to 14 = 14

Now subtract 14 from both sides. This brings you to 0 = 0.

Thus your answer is 0 = 0, which is a true statement.

Hope this helps.

7 0

3 years ago

Read 2 more answers