I really really need help with this and no one is answering. I've looked everywhere for how to do this and I fell like its simple but I can't find it. given -2+4i, express the complex number in polar form. I know the answer is 2 root 5(cos2.03 + isin2.03), but I don't know where the 2.03 comes from. Can someone explain please?

Answers

Answer 1

Result:

Complex number:

The polar form of z is:

Explanation:

z = −2 + 4i

z = 4.4721 · (cos 117o + i · sin 117o)

The polar form of the complex number z = a + bi is:

z = r · (cos θ + i · sin θ)

where, r is the modulus of z and θ is an argument of z. The moduo for a = −2 and b = 4 is:

r = a2 + b2 = · · · = 4.4721 To find argument θ we use one of the following formulas:

b θ=arctan a ifa>0

b o θ=arctan a +180 ifa<0

θ=90o ifa=0andb>0 θ=270o ifa=0andb<0

Inthisexample: a=−2andb=4so:

θ=arctan a +180

θ=arctan 4 +180o −2

b o

θ = arctan (−2) + 180o θ ≈ 117o

Try this website it’s really helped me!

www.mathportal.org/calculators/complex-numbers-calculator/complex-unary-operations-calculator.php?val1=-2&combo1=1&val2=4&rb1=pol&ch2=useDecimals

Answer 2

Answer:

Step-by-step explanation:

a+bi = -2+4i

arctan(b/a)=arctan(4/-2)=-1.071

Because this falls in quardant 2, you have to add pi

1.071+pi=2.03

I hope this helps.


Related Questions

One of the legs of a right triangle measures 3 cm and it's hypotenuse measure 5 cm find the measure of the other leg if necessary round to the nearest tenth

Answers

Answer: c=4

Step-by-step explanation:

c^2+3^2=5^2

c^2+9=25

c^2=16

c=4

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

[tex]H^2=B^2+P^2[/tex]

Here given that,

One of the legs of a right triangle measures [tex]3[/tex] cm and it's hypotenuse measure [tex]5[/tex] cm

Let the base of triangle is [tex]x[/tex].

So,

[tex]H^2=B^2+P^2\\\\(5)^2=x^2+(3)^2\\\\25=x^2+9\\\\25-9=x^2\\\\16=x^2\\\\x=4[/tex]

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

To know more about the triangle

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please i need HELP x+y=15 , x-y=3
and

Answers

Answer:

x=9

y=6

Step-by-step explanation:

x+y=15 .............(i)

x-y=3...........(ii)

Subtracting equation (ii) from equation (i)

or,  x+y -(x-y)=15-3

or,  x+y-x+y=12

or,  2y=12

or,  y=12/2

∴y=6

Now,

       Putting the value of y on equation (i),

or,  x+6=15

or,  x=15-6

∴x=9

The perimeter of the rectangle is 40 centimeters. Find the value of x.
There is a picture of a rectangle and it has an x on the left side and a 3x on the bottom.

a. 4
b. 5
c. 8
d. 10

Answers

b is the correct answer

How many square floor tiles of side 1/2m are needed to cover the school hall, excluding the room, shown in the diagram below. Please show ALL working.

Answers

Answer:

Step-by-step explanation:

Can someone help me with this please? its 1 question.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because its the only graph that matches the actual description

i need help please asap its due

Answers

Answer:

D.) $4 per min.

Step-by-step explanation:

in the first increase we go up 5 minutes and up $20

this trend stays equal just with 10 minute and $40 increases

this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4

hope this helps chu babe <3

help pls!!! im not sure on this

Answers

Answer:

10

Step-by-step explanation:

The answer is x=10 because you subtract both 80 and 40 from 180 using the triangle sum theorem with than remaining you should have 60. 60= 6x you divide that answer to get 10

Find the length of a side of a square if its area is:
0.49 square units

Answers

Answer:

Side = 0.7 units

Step-by-step explanation:

Area of a square = 0.49 sq. units

Side² = 0.49

side² = [tex]\frac{49}{100}\\\\[/tex]

[tex]side = \sqrt{\frac{49}{100}}=\sqrt{\frac{7*7}{10*10}}\\\\sides=\frac{7}{10}=0.7[/tex]

Please answer and if you do I'll give you brainliest. <3

Answers

Answer:

guy above me is right

Step-by-step explanation:

Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the patio? A 144 square feet B 360 square feet C 315 square feet D 252 square feet

Answers

Answer:

C 315

Step-by-step explanation:

(12 + 30) * 15/2 = 315

The area of the trapezoidal patio is 252 ft².

What is a trapezoid?

A trapezoid is a polygon that has only one pair of parallel sides. These parallel sides are also called parallel bases of trapezoid. The other two sides of trapezoids are non-parallel and called legs of trapezoids.

Given that, Mr. Kramer's patio is in the shape of a trapezoid, we need to find its area,

So, the area of the trapezoid is = sum of the parallel sides × height/2

= 12 + 30 × 12/2

= 42 × 6

= 252

Hence the area of the trapezoidal patio is 252 ft².

Learn more about trapezoid, click;

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free feet pic clickbait if u answer w full explimation

Answers

yo yoooo. no need for the free pic

x + 2/3 = -4 one step equation

Answers

Answer:

-4.666666667

Step-by-step explanation:

x + 2/3 = -4

x = -4 - 2/3

x = -4.666666667

Find the inverse function in slope-intercept form
f(x)=4/5x-16

Answers

Y intercept slope - 5,0
X intercept slope - 0,-4

Help me please ........

Answers

Answer:

Step-by-step explanation:

Mary prepared sandwiches for the seminar participants. She bought 5 loaves of bread at 22.50 pesos each, 2 bottles of mayonnaise at 55.50 a bottle and 1.5 kilograms of ham at 240 pesos a kilogram. If she gave the saleslady 1 000, pesos, How much change did she receive?

1. What is asked?
2. What are given?
3. What is/are the hidden question?
4. What operations will you use to solve the problem?
5. What is number sentence?
6. What is the answer?

pasagot po tnx
I will mark you as brainliest if your answer is good :3​

Answers

Answer:

416.50 pesos

Step-by-step explanation:

Given

Represent the bread with b.

Mayonnaise with m

Ham with h

[tex]Amount\ Paid = 1000[/tex]

Required

Determine the change

From the question: a loaf costs 22.50

This is represented as:

[tex]b = 22.50[/tex]

5 loaves will be:

[tex]5*b = 22.50*5[/tex]

[tex]5b = 112.50[/tex]

A bottle of Mayonnaise costs 55.50

This is represented as:

[tex]m = 55.50[/tex]

2 bottles will be:

[tex]2*m = 55.50*2[/tex]

[tex]2m = 111[/tex]

Lastly,

1kg of ham costs 240

This is represented as:

[tex]h =240[/tex]

1.5kg will be:

[tex]1.5*h =240*1.5[/tex]

[tex]1.5h =360[/tex]

The cost of the items is:

[tex]Costs = 5b + 2m + 1.5h[/tex]

This gives:

[tex]Costs = 112.50 + 111 + 360[/tex]

[tex]Costs =583.50[/tex]

Her change is calculated as:

[tex]Change = Amount\ Paid- Cost[/tex]

[tex]Change = 1000 - 583.50[/tex]

[tex]Change = 416.50[/tex]

Emily earned $45.50 for 6 hours of work. Harrison
earned $24 for 3 hours of work. Carla earned $36
for 4 hours of work. Who earned the most money
PER HOUR?
:

Answers

Emily earned more

Step-by-step explanation:

45.50 x 6= 273

Evaluate the expression for the value given.
6a
4a; when a = 2

Answers

Answer:

20

Step-by-step explanation:

6(a)+4(a).

6(2)+4(2)=12+8=20

final answer is 20

the answers are
6a= 12
4a= 8

Help pls. I will give brainliest to whom ever gets the answer correct.

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯. What is AE?

Answers

Answer:

your answer will be 18 in

Step-by-step explanation:

I hope this helps u ^_^

have a great day

Answer:

I guess a line segment.

Step-by-step explanation:

A line segment is part of a line that is bounded by two distinct end points; line with two endpoints.

I'm not too sure though.

A scatter plot is shown:
what type of association does the graph show between x and y? (4 points)

Linear positive association

Nonlinear positive association

Linear negative association

Nonlinear negative association

Answers

Answer:

linear positive

Step-by-step explanation:

it's prolly too late but i need pts and someone to answer my ? so yea

Answer:

Step-by-step explanation:

Linear Postive

last question on my test! please show some sort of work so i know its correct :) thanks! - dusty.

Answers

Answer:

this was 3 minutes ago... you still need the answer?

Step-by-step explanation:

10. What is 4/5 x 3/7?

Answers

Answer:

12/35

Step-by-step explanation:

you have to just multiply across

[tex] \frac{4}{5} \times \frac{3}{7} = \frac{12}{35} [/tex]

The answer as a fraction is 12/35

The answer as a decimal is 0.343

X^2-16/x^2-3x-4 simply

Answers

Answer:

x+4/x+1

Step-by-step explanation:

hope this can help you :)

Answer:

[tex]\frac{x+4}{x+1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-16}{x^2-3x-4}[/tex] ← factor numerator/ denominator

= [tex]\frac{(x-4)(x+4)}{(x-4)(x+1)}[/tex] ← cancel the factor (x - 4) on numerator/ denominator

= [tex]\frac{x+4}{x+1}[/tex]

Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y

Answers

Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

plz answer this question​

Answers

r=9.776 or 9.78 (second if needing to round)
c=123.307 or 123.31 (second if needing to round)

Find the value of x.

Answers

X=4 (Option B)
The “c” is equal to 4sq.root2. In the rules and the diagram attached, the “c” side has the root 2 attached to the a, so the answer is 4.

answer for a brainlist

Answers

Answer:

2) Gain

3) 0.39 (rounded)

Step-by-step explanation:

2)

12.16/64= 0.19

21/100= .21

12.24/72= 0.17

3)

9.25/24= .3854

if they tell you to round it, its .39, if not its .38

4. On a 3-hour trip, a car travels 156 miles.
What is the average speed of the car on this
trip?

Answers

Answer:

v = 52 mph

Step-by-step explanation:

Given that,

The distance travelled by the car, d = 156 miles

Time, t = 3 hour

We need to find the average speed of the car. The formula for the average speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]

So, the average speed of the car is equal to 52 mph.

the difference between y and 20

Answers

Answer:

y + 20

Step-by-step explanation:

The other numbers are N

N - y = 20

N = y + 20

    OR

y - N = 20

N = y - 20

How many triangles do you see?

Answers

Answer:

bajjaoasawwwssahwiwoa

16??

can you help me please​

Answers

Answer:

the first one

Step-by-step explanation:

because you would use Pythagorean theorem to find a missing side

the equation would be a^2+b^2= C^2

and ya

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