Identify the constant of proportionality in the graph.
A) 60
B) 120
C) 180
D) 240

Given:

The complex number is:

[tex]z=1+i\sqrt{3}[/tex]

To find:

The argument of the given complex number.

Solution:

If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

We have,

[tex]z=1+i\sqrt{3}[/tex]

Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:

[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]

[tex]\theta =\tan^{-1}\sqrt{3}[/tex]

[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]

[tex]\theta =\dfrac{\pi}{3}[/tex]

Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].

Answer:

the inverse for each relation:

1. [(4,2),(5,1),(6,0),(7,-1)} is

{(2,4),(1,5),(0,6),(-1,7)}

Answer:

16/9.

Step-by-step explanation:

I am assuming you mean tan^2 theta.

The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.

The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.

The tangent is negative in Q 4

So tan theta = -4/3.

tan^2 theta = 16/9.

Answer:

here u go gurly

Step-by-step explanation:

Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.

Step-by-step explanation:

Answer:

Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

solve  by substitution:

solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x

Substitute - 7 + 4x into the second equation to obtain:

3(-7 + 4x) - 12x = -21, which yields:

-21 + 12x - 12x = -21, which simplifies 0 = 0

a result of 0 = 0 means infinite solutions such as:

(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....

Answer:

infinite soulutions

Step-by-step explanation:

i just did it and it was right on ed2021...

Answer:

The volume of the square prism is equal to the volume of the cylinder.

Step-by-step explanation:

As per the information depicted the volume of the square prism is equal all to the volume of the cylinder. Hence option C is correct.

A square prism is thee dimensional cuboid with a base and the top has an equal square while the remaining four faces have a rectangle and the opposite side angles of the square prism are congruent and parallel to each other.

As a square prism have the least two lengths that are equal to each other. Hence the volume of the square prism is equal to the volume of the cylinder as they have the same height and area of cross-section.

Find out more information about the square prism.

brainly.com/question/4315703

Answer:

the answer is 3 hours

Step-by-step explanation:

it just makes sense

Answer:

The population density of India in 2016 was of 1042.8 habitants per miles squared.

Step-by-step explanation:

Population density:

Number of habitants divided by land area.

In 2010 the population of India was 1,231,000,000. By 2016, the population had increased by 7.5%.

This means that India's population in 2016 was given by:

1,231,000,000*1.075 = 1,323,325,000

The land area of India is 1, 269,000 miles squared:

1,323,325,000/1,269,000 = 1042.8 habitants per miles squared.

The population density of India in 2016 was of 1042.8 habitants per miles squared.

Answer:

d

Step-by-step explanation:

Answer:

Tessa is correct. They have enough money.

Please read Comfort Zone on Wattpad!!!!!!

Answer:

find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6

Answer:

A

Step-by-step explanation:

A is the answer because the origin is located at point (0,0)

Answer:

c

Step-by-step explanation:

Answer:

N12.8

Assume the money in the box Is M.

therefore, 3/4 of M=N4.80.

Recall N1=100k..... where k 'kobo'

N4.80=X

X=4.80x100. this gives us 480k.

this implies that 3/4 X M= 480k

therefore by cross multiplication, and dividing by 3; 3M=480 X 4

M = (480 X 4) ÷3

M=1280k

converting from kobo' to Naira. the rate of conversion is;

100k = N1

1280k=?

M in naira= 1280/100

M is N12.8

Answer:

8/3

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

8 /3

Decimal Form:

2. 6

Mixed Number Form:

2  2 /3

Answer:

c = 8.50 + 7.50x

Step-by-step explanation:

c = 8.5 + 7.50x

Answer:

Rewrite the equation as 5-3-2. -2 is x, as it says in the problem. All you have to do is solve, so you're answer will result in 0. :)

Answer:

Replace the variable x  

with -2   in the expression.

5 − 3 x

Step-by-step explanation:

Answer:

Step-by-step explanation:

(216/4)-20+3(5)

(54)-20+15

34+15 = 49

option 1

Answer:

49

Step-by-step explanation:

(6³ / 4) - 4 * 5 + 3(7 - 2)

= (216 / 4) - 20 + 3 * 5

= (216 / 4) - 20 + 15

= 54 - 20 + 15

= 34 + 15

= 49

Hope it helps

Answer:

6b-4a+13

Step-by-step explanation:

3a-6b+3-7a+10

3+10=13

3a-7a=-4a

6b-4a+13

Answer:

13

Step-by-step explanation:

Answer:

B measures 66°

C measures 66° .Sum of all angels is 180° .

Answer:

D. 64

Step-by-step explanation:

I calculated it logically

Answer:

D. (0.5, 0) and (0, -2)

Step-by-step explanation:

We have the following equation:

[tex]y = 4x - 2[/tex]

x-intercept:

The x-intercept of an equation is the value of x when [tex]y = 0[/tex]. So

[tex]y = 0[/tex]

[tex]4x - 2 = 0[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{2}{4}[/tex]

[tex]x = 0.5[/tex]

So (0.5,0) is one of the intercepts

y-intercept:

The y-intercept of an equation is the value of y when [tex]x = 0[/tex]. So

[tex]y(0) = 4(0) - 2 = 0 - 2 = -2[/tex]

So (0, -2) is the other intercept.

The correct answer is given by option D.

Answer:

can we get the figure plz

Answer:it is about 90-93 degrees and also it is a obtuse

Step-by-step explanation:

it is simple because it the other side to the right says 98 if you put it in it position it is alittle bigger so thats how i got my answer

Answer:

∠ ABC = 62°

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc AC

AC = 360° - (138 + 98)° = 360° - 236° = 124° , then

∠ ABC = [tex]\frac{1}{2}[/tex] × 124° = 62°

Answer:

Answer given below

Step-by-step explanation:

P (spinning yellow) = 2 / 8 = 1 / 4

P (Spinning an odd number) = 4 / 8 = 1 / 2

P ( spinning a number less than 5) = 4 / 8 = 1 / 2

Hope it helps

The probability of spinning a yellow is 1/4.

The probability of spinning an odd number is 1/2.

The probability of spinning a number less than 5 is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

From the spinner

Blue region = 3

Red region= 1

Yellow region = 2

Purple region = 2

So, the probability of getting Yellow

P (spinning yellow) = 2 / 8

                                = 1 / 4

and, the probability of getting odd number

P (Spinning an odd number) = 4 / 8

                                               = 1 / 2

and, the probability of getting less than 5

P ( spinning a number less than 5) = 4 / 8

                                                         = 1 / 2

Learn more about Probability here:

https://brainly.com/question/30034780

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Answer:

175cm^3

Step-by-step explanation:

Volume= Length x Width x Height

Length and width =35cm^2

H=5cm

V=175cm^3

Hope this helps!