!!!HELP ME WITH THIS QUESTION PLEASE!!!

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D it’s the base.

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The sum of given complex numbers in polar form as [tex]w+z=cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} )[/tex]

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

"The polar form of a complex number z = x + iy is [tex]z=r(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]\theta=tan^{-1}({\frac{y}{x} })[/tex] "

For given question,

We have been given two complex numbers in polar form.

[tex]w=4(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))~,z=3(cos(\frac{3\pi}{2} )+i~sin(\frac{3\pi}{2} ))[/tex]

The sum of given complex numbers would be,

[tex]w+z= 4(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))+3(cos(\frac{3\pi}{2} )+i~sin(\frac{3\pi}{2} ))[/tex]

We know that

[tex]cos(\frac{\pi}{2} )=0\\\\sin(\frac{\pi}{2} )=1\\\\cos(\frac{3\pi}{2} )=0\\\\sin(\frac{\pi}{2} )=-1[/tex]

So, the sum of given complex numbers would be,

[tex]w+z\\\\= 4(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))+3(cos(\frac{3\pi}{2} )+i~sin(\frac{3\pi}{2} ))\\\\=4(0+i(1))+3(0+i(-1))\\\\=4(i)+3(-i)\\\\=i\\\\=0+i[/tex]

We can write above sum of complex numbers in polar form as,

[tex]0+i=cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} )[/tex]

Therefore, the sum of given complex numbers in polar form as [tex]w+z=cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} )[/tex]

Learn more about complex numbers here:

https://brainly.com/question/5530181

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Answer:

b on edge

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

The sum of all of the angles in a triangle is 180. So all three angles would add up to 180:

(a + 21) + 57 + (a - 30) = 180

Combine like terms:

2a + 48 = 180

2a = 132

a = 66

Answer:

a+21+57+a-30=180(angle of triangle)

2a+48=180

2a=180-48

2a=132

a=132/2

a=66

then,a+21=66+21 =87

a-30=66-30 =36

Step-by-step explanation:

I think this is the answer

Answer:

87.8

Step-by-step explanation:

I assume you know how to do this so I didn't show any steps. Have a nice night. :)

Answer

Quiz: Measures of Center

I got one wrong, so use at discretion

Step-by-step explanation: I took the test

1. 87.8

2. 6,060

3. 36

4. 312

5. 4.41 and 45.6

6. no mode

7. 0.236

8. 1,136

9. no mode

10. 33,745

Answer:

See Explanation

Step-by-step explanation:

The options are missing. However, the question is still solvable.

Given

[tex]Work\ Hours = 1944[/tex]

[tex]Earnings = \$14[/tex] per hour

[tex]Estimated\ Earnings = \$28,000[/tex]

[tex]Sedan = \$25,750[/tex]

[tex]Convertible = \$27,990[/tex]

[tex]SUV = \$29,500[/tex]

First, we need to calculate her actual earnings.

This is calculated by multiplying the actual work hours (without approximation) by the earnings per hour

[tex]Total\ Earnings = 1944 * \$14[/tex]

[tex]Total\ Earnings = \$27,216[/tex]

Next, we compare this actual earnings to the amount of a Convertible

[tex]\$27216 < \$27,990[/tex]

Hence, Ashlee's conclusion is not logical because with her actual earnings, she cannot afford a Convertible

Answer:

0.6666667

Step-by-step explanation:

1/3 of 2 is 0.6666667

Answer:

Step-by-step explanation:

I take you mean that f(x) = 4x + 1. If it really is C leave a note below the question, and I'll come back if you post within the hour.

f(3) = 4*3 + 1

f(3) = 12 + 1

f(3) = 13

Answer:

7.5 kilometers

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

start on the y axis and go down and put a dot on -3. then from that dot go up 2 over to the right 1.    

Answer:

A on EDGE

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:When you do 2 pages an hour, 2 hours is 4 pages, but you dont need an extra whole hour, instead just add a half which is why the answer is 2.5 hours.

Answer:

Chad has $2 in total!

Step-by-step explanation:

14 - 14 -3 +5

= 2

Responder: $ 352,800

Explicación paso a paso:

Paso uno:

La pregunta destinada a decir la dimensión de la parcela rectangular es 12 m de largo y 40 m de ancho - - - no 40 m de profundidad Primero, encontremos el área de la parcela rectangular

Área = L * W Área = 12 * 14

Superficie = 168m²

Segundo paso:

En segundo lugar, se nos dice que

1m² cuesta $ 2100 Por tanto,

168m² costarán x

Multiplicación cruzada que tenemos

X = 168 * 2100 X = $ 352,800

El costo del terreno es $ 352,800

Step-by-step explanation:

Length of rectangular park = 175 m

Breadth of rectangular park = 150 m

Perimeter of park = 2 x (length + breadth)

= 2 x (175 + 150)

= 2 x 325 = 650 m

Since, cost of fencing park per meter = = Rs. 12

Therefore, cost of fencing park of 600 m = 12 x 650 = Rs. 7,800

Square park=250m

Perimeter of the square park x 4

=250x4

=1000m

So, the cost of the fencing at the park would have a rate of 20 per m = 1000x20

=20000

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

Answer:

the correct answer is -15 for the equation:

3(2x − 5) = 6x + k

Hope this helped!

[tex]46cm[/tex]

Step-by-step explanation:

[tex]5+2.5+2.5+2.5+4+(9-2.5) +(4+2.5) + 2.5 +5+9

=46[/tex]

Hope this helps

Is there supposed to be a picture or something? I don't see anything.

Answer:

f(1)=-1+6-6= - 1

f(2)=-4+12-6 = - 2

f(3)= - 9+18-6 = 3

f(4)= - 16+24-6 = 4

f(5)= - 25 +30 - 6= -1

Step-by-step explanation:

Alex literally just put what's in between the brackets (1,2....) in the place of x

or you just look at the graph

Hope this helps, have a great day

Answer: [-4, 8]

Step-by-step explanation:

The range is the mimimum y-value, the highest y-value.

On the graph, the lowest y-value is -4 and the highest y-value is 8. Thus, when writing in the range form, the range would by [-4, 8].

The range would be in hard brackets because the range touches exactly the points of -4 and 8. If each point had an open circle, instead of a closed point, there would be soft brackets.

Answer:

The real solution is [tex]n=6[/tex].

Step-by-step explanation:

[tex]\cos(\frac{\pi}{2})=0[/tex] while [tex]\sin(\frac{\pi}{2})=1[/tex]

So the equation becomes:

[tex]-64=(2(0)+2i(1))^n[/tex]

[tex]-64=(0+2i)^n[/tex]

[tex]-64=(2i)^n[/tex]

We know that [tex]2^6=64[/tex]. So let's see what [tex]n=6[/tex] gives us:

[tex](2i)^6=64i^6=64i^4i^2=64(1)(-1)=-64[/tex].

[tex]-64[/tex]  is the result we wanted.

[tex]n=6[/tex] is therefore a solution.

Answer:

100 adult tickets and 140 student tickets

Step-by-step explanation:

Answer:

Sold student tickets: 130, sold adult tickets: 110

Step-by-step explanation:

Let s = number of student tickets sold,

Let a = number of adult tickets sold.

[tex]s = 20+a[/tex] (It is given that there were 20 more student tickets sold than adult tickets)

[tex]s+a=240[/tex] (It is given that the total tickets sold is 240)

[tex]20+a+a = 240[/tex]

[tex]2a=220[/tex]

[tex]a = 110[/tex]

We can use substitution to find the number of student tickets:

[tex]s+a = 240[/tex]

[tex]s + 110 = 240[/tex]

[tex]s = 130[/tex]

∴110 adult tickets and 130 student tickets were sold.

I hope this helps :)

Answer: Multiply by 2 on both sides

Answer:

Multiply by 2 on both sides

Step-by-step explanation:

Hope I helped

Answer:

 (B)

Step-by-step explanation:

LCM(15, 20) = 60

[tex]\frac{9}{15}[/tex] and [tex]\frac{14}{20}[/tex]

[tex]\frac{3}{5}[/tex] and [tex]\frac{7}{10}[/tex]

[tex]\frac{6}{10}[/tex] < [tex]\frac{7}{10}[/tex]

(B)

Answer:

that would be 3.5

Step-by-step explanation:

have a great day (:

Answer: 3 1/2

Step-by-step explanation: The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. Therefore, a way to solve this problem is by multiplying (7/8 x 4/1) which will give us a final answer or result of 3.5 or 3 1/2.

Answer:

Step-by-step explanation:

12: 8,700

13: 42

14: 70,000

15: 5,000,000,000

16: 2,210

17: 34,100

18: 1,650

19: 149

20: 290,000

Answer:

12) 8700

13) 42

14) 70000

15) 5000000000

16) 2210

17) 34100

18) 1650

19) 149

20) 290000

Answer:

see explanation

Step-by-step explanation:

A rational number Q can be expressed in the form

[tex]\frac{a}{b}[/tex] where a and b can take any integer value except b = 0

This is because it would lead to division by zero which is undefined.