Can someone answer the question?​

Can Someone Answer The Question?

Answers

Answer 1

Answer:

[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]

Step-by-step explanation:

Division of complex numbers in polar form is [tex]z_1/z_2=\frac{r_1}{r_2}cis(\theta_1-\theta_2)[/tex] where [tex]z_1[/tex] and [tex]z_2[/tex] are the complex numbers being divided, [tex]r_1[/tex] and [tex]r_2[/tex] are the moduli, [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the arguments, and [tex]cis[/tex] is shorthand for [tex]cos\theta+isin\theta[/tex]. Therefore:

[tex]\frac{9(cos(\frac{11\pi}{6})+isin(\frac{11\pi}{6})) }{3\sqrt{3}((cos\frac{\pi}{4})+isin(\frac{\pi}{4})) }[/tex]

[tex]\frac{9}{3\sqrt{3} }cis(\frac{11\pi}{6}-\frac{\pi}{4})[/tex]

[tex]\frac{\sqrt{3} }{3} }cis(\frac{19\pi}{12})[/tex]

[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]


Related Questions

you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.

Answers

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020

Answers

Answer:

5.291 * 10^4

hhhhhhhhhhhhhhhhh

Help me ASAP plzzz……

Answers

x = 20

This is an isosceles triangle so third angle is also 2x because of symmetry.
Angle sum = 5x + 2x + 2x = 9x = 180 degrees

Answer:20, 40, 40,100

Step-by-step explanation:

5x+2x+2x=180 9x=180 x=20

In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value

Answers

Answer:

d. Recent observed value

Step-by-step explanation:

Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.

5(x+2)-4 = 13-7(x+1)

Answers

Answer:

0

Step-by-step explanation:

5x+10-4=13-7x-7

5x+6=6-7x

5x+0= -7x

0=-12x

Divide and u get x=0

What is the product?
(-282 +8)(502-65)

Answers

Answer:

option c is the answer for pic

and for question the answer is

(-274)*(437)

-119738

Answer:

the first one

Step-by-step explanation:

VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

Larger number: 22

The smaller number: 14

HOPE THIS HELPS

what is the ordered pair for the equation -7x+3y=2​

Answers

Answer:

Step-by-step explanation:

Solve the system.
2x + y = 3 −2y = 14 − 6x

Answers

Answer:

(x , y ) = (39/22 , -2/11 )

.............

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

help simplify √10/18

Answers

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

is the point (2,5) a solution to the equation y=3x-5?

Answers

Answer and Step-by-step explanation:

To figure out, we plug in the x-value into the equation and see if it is equal to the y-value.

y = 3(2) - 5

y = 6 - 5

y = 1

5 ≠ 1

The point (2, 5) is not a solution.

#teamtrees #PAW (Plant And Water)

calculate 3ab + b for a=2 and b=-3

Answers

Your answer will be -21 as it’s 3x2x-3-3=21

Can you solve this equation???

Answers

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards

Answers

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST

Answers

Answer:

5X+6+3X-2 =180

8X+4. =180

8X. =180-4

8X. =176

X=22

CBD=EBF=3x-2

=66-2

=64

CBD=64

(3x^ - 6x +11) - (10x^ - 4x + 6)

Answers

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

Cannot seem to figure this one out.

Answers

Answer:

cosB = 2√6 / 7

Step-by-step explanation:

use the pythagorean theorem to find the missing side

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 24

a = √24

a = 2√6

--------------------------

cosB = adj/hyp

cosB = 2√6 / 7

Karim had a packet of 200 chocolates. He gave 35% of them to his sister. How many chocolates were left with him?

Answers

Answer:

Karim had 130 chocolates left.

Step-by-step explanation:

The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing

100% (which is what he started with) - 35% = 65%

65% of 200            Change 65% into a fraction

65/100 * 200          Multiply 200 * 65

13000 / 100            Divide by 100

130

Answer:

130 left

Step-by-step explanation:

35% of 200 chocolates is equal to 70 chocolates.

200-70=130 chocolates

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.

Answers

Answer:

6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...

The area of a given rectangle is 216 square inches.

Given that, the perimeter of the rectangle is 84 inches.

We need to find the area of a rectangle.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of a rectangle be x.

Given, that the length of a rectangle is six times its width. So, length=6x.

Now, 84=2(6x+x)

⇒14x=84

⇒x=6 inches

Then, length=6x=36 inches.

Area of a rectangle= Length×width=36×6=216 square inches

Therefore, the area of a given rectangle is 216 square inches.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

#SPJ2

HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Step-by-step explanation:

From Mathematics, we know that absolute values are defined by the following characteristics:

1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]

2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]

Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]

Answers

the answer is xy^5/3 .

Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.

Answers

9514 1404 393

Answer:

  -5 or 13

Step-by-step explanation:

A point that is 9 units from 4 on the number line ca be located at ...

  4 - 9 = -5

  4 + 9 = 13

F could be either of -5, 13.

Find the distance between the pair of points: (2,6) and (0,−3).

Answers

Answer:

d = √85

Step-by-step explanation:

d^2 = (X2 - X1)^2 + (Y2 - Y1)^2

= (2 - 0)^2 + (6 + 3)^2

= 4 + 81

d = √85

convert 122f to Celsius​

Answers

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

For a rock concert a rectangular field of size 100 m by 50 m was reserved for the
audience.
The concert was completely sold out and the field was full with all the fans standing.
Which one of the following is likely to be the best estimate of the total number of people
attending the concert?

2000
5000
20000
50000
100000

Answers

Answer:

5000

Step-by-step explanation:

but this depends upon how much room each person needs

Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​

Answers

Answer:

A. -1/6

Step-by-step explanation:

7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6

The product of 7/8 and -4/21 is a.- 1/6.

What is the product?

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

Learn more about product :

https://brainly.com/question/1549083

#SPJ6

For "downhill" lines, if the rise is negative, the run must be
?

Answers

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

it is positive see above answer for reference

What is the equation of a circle with center (4, 4) and radius 7?

Answers

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

X/30 + X/40= 1
Solve for x

Answers

Answer:

17 1/7 I think

Step-by-step explanation:

x=17.1

Step-by-step explanation:

[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]

4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?

Answers

Answer:

Simple interest

Step-by-step explanation:

Because its a period of 8 years

Other Questions
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. According to the graphic above, which form of media do people use most to get their news from? If I have a right triangle ab=12 and ac=15 what is BC 4. Who are three (3) people in your support system that you can talk to about your problems?5. When you had more freedom with schooling during this time, why is having time management skills important? Below is a list of numbers. Use them to answer question 3.2, 19, 31, 43, 59, 67Question 3*What type of numbers are shown?AB.C.composite numberseven numbersodd numbersprime numbersD. Factor completely. 486 +108 x + 6 x^2= pls help me i have to have assignments by 11:00pm so pls help me 6 + {1 + [(3 + 5) 8] + 2} + 10 pleasee!!! 1. A square is lengthened by 6 units in one direction and by 5 units in the otherdirection to make a rectangle, as shown in the diagram. The length of the sideof the original square is x units. What is the area of the whole new rectangle? Why did the author choose to provide this fictionalaccount of Iqbal Masih, who was a real person? Select4 options. How were the early civilizations of the Nile River Valley, Mesopotamia, and the Yellow River Valley similar? What is the difference between a counselor and a social worker? Find the value of x. Need help with this :( in the mid-1800s different regions have different needs and interests match each region to the correct description What is the per capita GDP of China? Be sure to indicate the calendar year that this information represents. Please help me! I need to get this done but don't know how!The polynomial x+5x-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?a. height: 19 in.depth: 5 in.c. height: 19 in.depth: 7 in.b. height: 21 in.depth: 5 in.d. height: 21 in.depth: 7 in. trnh by c ch hp th v chuyn ha lipid t ng tiu ha ngi? A gas fills up a container that has 2.5L has a pressure of 3.5 atm. If the gas gets transferred to a container that holds 4L, what would the new pressure be? Help plz I dont get it