Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C) 24 . D) 23 .​

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:

B measures 66°

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

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:

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!

Answer:

c = 8.50 + 7.50x

Step-by-step explanation:

c = 8.5 + 7.50x

Answer:

can we get the figure plz

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:

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:

D. 64

Step-by-step explanation:

I calculated it logically

Answer:

here u go gurly

Step-by-step explanation:

Answer:

y=1/2x

Step-by-step explanation:

Find the y-int (0) and get the slope : 1/2.

Answer:

Letter B .................

Answer:

60 mph

Step-by-step explanation:

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:

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:

d

Step-by-step explanation:

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:

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:

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

#SPJ7

Answer:

c

Step-by-step explanation:

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:

A

Step-by-step explanation:

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

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: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:

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:

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:

It’s B

Step-by-step explanation:

Given:

The graph of a line a.

To find:

The slope of the line a.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:

[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]

[tex]m=\dfrac{-3}{1}[/tex]

[tex]m=-3[/tex]

The slope of the line a is -3. Therefore, the correct option is C.

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.