3.0 plzzzzzz help thank you

C. <3

pls give brainlyist

[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]

"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"

"This theorem gives a formula for computing powers of complex numbers.

[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "

For given question,

We need to divide two complex numbers.

[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex]

Consider,

[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))][/tex]                 ...........(i)

Consider the first complex number.

[tex](cos(33^{\circ}) + i sin(33^{\circ}))[/tex]

We can write this complex number as,

[tex]cos(3(11^{\circ}) )+ i sin(3(11^{\circ}))[/tex]

By De Moivre's theorem,

[tex]cos(3(11^{\circ}) )+ i~ sin(3(11^{\circ}))\\\\=(cos(11^{\circ})+ i~ sin(11^{\circ}))^3[/tex]

Substitute this value in (i),

[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^3 \div 7(cos(11^{\circ}) + i~ sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^2]\\\\=8[(cos(2\times 11^{\circ}) + i~ sin(2\times 11^{\circ}))]~~~~~~~~~.............(De~Moivre's~theorem )\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]

Therefore, [tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex] is [tex]8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]

Learn more about the De Moivre's theorem here:

brainly.com/question/17211848

#SPJ3

Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.

Step-by-step explanation: yay

b = 0

To solve make b the subject so:

4b + 6 = 2 - b + 4

5b + 6 = 6

5b = 0

5 = 0/5

= 0

Answer:

m∠1 = 140°

m∠2 = 40°

m∠3 = 65°

m∠4 = 75°

m∠5 = 115°

Step-by-step explanation:

We will use a few different methods to find the angles:

A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:

∠1+∠2+∠3=180°

60+80+∠3=180°

Let x represent the value of ∠3. Simplify addition:

[tex]140+x=180[/tex]

Subtract 140 from both sides:

[tex]140-140+x=180-140\\\\x=40[/tex]

The unknown angle is 40°. With this information, we can find the

m∠1:

m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.

∠1+∠2=180°

Insert the value we know:

40°+∠2=180

Let x represent the value of ∠2. Subtract 40 from both sides:

[tex]40-40+x=180-40\\\\x=140[/tex]

There fore:

m∠1=140°

We can use this same rule to find the m∠2:

∠1+∠2=180°

or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:

m∠2=40°

To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:

∠1+∠2=180°

Insert the known values, substituting x for the unknown angle:

[tex]x+105=180[/tex]

Subtract 105 from both sides:

[tex]x+105-105=180-105\\\\x=75[/tex]

The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:

m∠2+m∠3+75=180

Insert the m∠2, make m∠3 be x:

[tex]40+x+75=180[/tex]

Simplify addition:

[tex]115+x=180[/tex]

Subtract 115 from both sides:

[tex]115-115+x=180-115\\\\x=65[/tex]

Therefore:

m∠3=65°

To find m∠4, use the vertical angle rule.

Therefore:

m∠4=75°

To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:

[tex]75+40=115[/tex]

Therefore:

m∠5=115°

:Done

It's neither prime or composite.

1 only has a single factor which is 1, so you can't really say.

One is a prime number because it can only be gotten in multiplication equation by using 1x1 to get 1! If it was 12 where multiple equations could get it like 3x4 then it would be composite!

Hope this helps, if not, comment below please!!!

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

Answer:

t = 4 or t = -16

Step-by-step explanation:

Let's solve your equation step-by-step.

2+|t+6|=12

|t+6|+2=12

Step 1: Add -2 to both sides.

|t+6|+2+−2=12+−2

|t+6|=10

Step 2: Solve Absolute Value.

|t+6|=10

We know eithert+6=10 or t+6=−10

t+6=10(Possibility 1)

t+6−6=10−6(Subtract 6 from both sides)

t=4

t+6=−10(Possibility 2)

t+6−6=−10−6(Subtract 6 from both sides)

t=−16

Answer:

Hence, option 'd' is correct.

Step-by-step explanation:

Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.

Therefore, we conclude that

Hence, option 'd' is correct.

Answer:

The probability is 31/35

Step-by-step explanation:

Answer:

17 grams

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

This relation is a function. Functions must have unique x-values for every y-value, this relation meets those requirements. Also, since this is a graph you can use the vertical line test. To pass the vertical line test you must be able to draw a vertical line on the graph and have it intersect with the function in no more than one place.

Answer:

25

Step-by-step explanation:

40%x = 10

40/100 x=10

x=10* 100/40

x = 25

Answer:

This cannot be simplified any further. That is the simplest you'll get.

The answer is 4,-3

Irfcdxsaacd d

Answer:

4,-3

Step-by-step explanation:

Given:

A line passes through the points (6,-7) and (-6,3).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (6,-7) and (-6,3). So, the equation of line is

[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]

[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]

[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]

[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]

Using distributive property, we get

[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]

[tex]y+7=-\dfrac{5}{6}x+5[/tex]

Subtract 7 from both sides.

[tex]y=-\dfrac{5}{6}x+5-7[/tex]

[tex]y=-\dfrac{5}{6}x-2[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].

Answer:

Step-by-step explanation:

Answer:- 8

Step-by-step explanation:

-4 + 4(3)/ -4+3

-4 +12 / -1

8/-1

Answer:

x = -0.5

Step-by-step explanation:

Answer:

27/4

Step-by-step explanation:

To find the answer, all you would need to do is multiply the denominator by the whole number and add the numerator. And so if you multiply the denominator (4) by the whole number (6) , and add the numerator (3) , you will get the answer: 27/4

Answer:

27/4

Step-by-step explanation:

6*4=24

24+3=27

Answer:

probability of choosing a green candy is 1/4

Answer:

2/3

Step-by-step explanation:

Let x be number

Multiply by 2 = x * 2

Now, divide by 3 = 2x ÷ 3 = [tex]\frac{2x}{3}[/tex]

So, this is same as multiplying 'x' by [tex]\frac{2}{3}[/tex]

Answer:

i know a nice song it's called hi guy. you are cool and smart

Step-by-step explanation:

you should take a bath everyday

Answer:B

Step-by-step explanation:

The statement that best describes how muscles respond to weight training is:

Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.

Option D is the correct answer.

Weight training, also known as resistance training, involves performing exercises that place a load or resistance on the muscles.

This load creates small tears or damage to the muscle fibers, which the body then repairs and adapts to by making the muscle fibers larger and stronger.

We have,

Option A:

Weight training stretches the muscles' limits and makes the muscles longer, which is not an accurate description of how muscles respond to weight training.

While stretching exercises can increase muscle flexibility, weight training typically does not cause the muscles to become longer.

Option B

Weight training pushes the muscles' abilities, making the muscles gain endurance, which is partially true.

Weight training can increase muscle endurance by strengthening the muscles, but the primary response of the muscles to weight training is hypertrophy, not increased endurance.

Option C:

Weight training stimulates the muscles and causes the muscle fibers to sit closer together, which is not an accurate description of how muscles respond to weight training.

While weight training does stimulate the muscles, it does not cause the muscle fibers to sit closer together.

Thus,

Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.

Learn more about weight training here:

https://brainly.com/question/522620

#SPJ5

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

When x=-3

7-2(-3)=7-(-6)

=7+6

=13

Answer:

115% of 75

Step-by-step explanation:

Answer:

39 R 10

Step-by-step explanation:

18 goes into 586 evenly 32 times, but there is 10 left over, making that the remainder.

Answer:

part to part

Step-by-step explanation:

Answer:person abov me

Step-by-step explanation:

Answer:

The absolute value is 7.

Step-by-step explanation:

Because when a number has two lines between it you always make it positive.

Answer:

7

Step-by-step explanation:

|-7| means to switch it a positive and not a negative so |-7|=7