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3 years ago

Please answer this correctly

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

Total sides = 6

Number 5 and all even numbers = 1+3

=> 4

P(5 or even ) = 4/6

=> 2/3

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On the eighth day the temperature dropped 8 degrees. If the total change in the temperature was -43 degrees, what integer repres

Mariulka [41]

Answer:

Step-by-step explanation:

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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

Can someone help me with this

Sauron [17]

I think it’s 90 but not sure

5 0

3 years ago

Can someone please help me

oksian1 [2.3K]

Answer: 19

Step-by-step explanation:

8 0

3 years ago

Please answer! 40 points! (It will give you half of that)

SVETLANKA909090 [29]

Answer:

1-1

2-2

3-4

4-3

5-6

6-5

Step-by-step explanation:

Just simplify each equation to its simplest form

eg,: #1

4/3 = 1 1/3

4 0

3 years ago

Read 2 more answers