All categories

3 years ago

Please Help with this question !!!

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

4 0

The correct answer is choice B.

You might be interested in

HELP! <br> What is the measure of angle BGC??

sp2606 [1]

Answer:

90 degrees

Explanation:

I’m not 100% sure, but it’s opposite to a 90 degree.

3 0

3 years ago

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

Convert 30/20 into decimal

vekshin1

The answer for this would be 1.5

7 0

4 years ago

Read 2 more answers

Work out the area of this circle,<br>Take pi to be 3.142 and give your answer to 1 decimal place.

Westkost [7]

Answer:

Step-by-step explanation:

radius (r) = 4 cm

area of the circle

= π * r²

= 3.14 * 4 * 4

=50.24 cm²

hope it will help :)

6 0

3 years ago

Read 2 more answers

The number name of 98745632 in indian system of numeration is

nikklg [1K]

Step-by-step explanation:

ddndudsmwsnnddssmssndhdd

4 0

3 years ago