Consider the 4th roots of 16[cos(π) + i sin(π)].

The roots are located on a circle with center at the origin and radius of ....
The arguments of two successive roots differ by.... π units along the circumference of a circle.

Answers

Answer 1

Answer:

2          1/2  

Step-by-step explanation:

Answer 2

The roots are located on a circle with a center at the origin and a radius of 4. The arguments of two successive roots differ by (1/2)π units along the circumference of a circle.

What is the Circumference of a circle?

The circumference of a circle is defined as the product of the diameter of the circle and pi.

The 4th roots of 16[cos(π) + i sin(π)] are the 4th roots of -16i. These roots are located on a circle with a center at the origin and a radius of 4 because the 4th roots of a complex number are equally spaced on a circle with a radius equal to the absolute value of the complex number.

The arguments of two successive roots differ by π/2 units along the circumference of a circle. This is because there are 4 roots and the circle has a circumference of 2π, so each root is spaced 2π/4 = π/2 units apart along the circumference of the circle.

For example, the first root is located at (4, 0) on the complex plane, which corresponds to an argument of 0.

The second root is located at (0, 4) on the complex plane, which corresponds to an argument of π/2.

The third root is located at (-4, 0) on the complex plane, which corresponds to an argument of π.

The fourth root is located at (0, -4) on the complex plane, which corresponds to an argument of 3π/2.

Thus, you can see that the arguments of the roots differ by π/2 units.

To learn more about the roots of complex numbers click here:

https://brainly.com/question/28182680

#SPJ2


Related Questions

Evaluate the function. f(x)=-4x^2+10 find f(-2)

Answers

Answer:

[tex]f(-2)=-6[/tex]

Step-by-step explanation:

[tex]f(x)=-4x^{2} +10[/tex]

At x=-2

[tex]f(-2)=-4(-2)^{2} +10[/tex]

[tex]f(-2)=-4(4) +10[/tex]

[tex]f(-2)=-16 +10[/tex]

[tex]f(-2)=-6[/tex]

(4/5)^2+ 2/5 ÷ 1/2( these are fractions and the 2 is a exponent) hurry up please

Answers

Answer:

Step-by-step explanation:

so can someone like pls help me what's -20×-18=​

Answers

Answer:

360

Step-by-step explanation:

-20x-18=20x18=360

Answer:

-2(10x+9)

Step-by-step explanation:

help please.. quickly

Answers

Someone else is already helping your welcome so yes the number
You should Download Cymath that helps you

How do you write 8.97 x 102 in standard form?

Answers

Answer:

914.94

Step-by-step explanation:

Find the value of x in the figure. 57 x+23 DUE AT 3PM 2/1 PLZ HELP WITH STEPS

Answers

Answer:

x = 100

Step-by-step explanation:

Since the two sides need to equal 180 degrees, we would have this as our formula: x + 23 + 57 = 180

23 + 57 is 80, and we subtract 80 from 180 to get 100 as our answer.

The required value of the variable x is 100, which is determined by the property of the supplementary angles.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

Here, the two sides must equal 180 degrees.

As per the property of supplementary angle, it can be written as:

x + 23 + 57 = 180

Apply the addition operation,

x + 80 = 180

x = 180 - 80

Apply the subtraction operation to get,

x = 100

Therefore, the required value of the variable x is 100.

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ6

The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?​

Answers

Basically that’s it but write it down by yourself

The perimeter of the rectangle is 70cm.

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

What is the formula for the perimeter of square?

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

What is the formula for the perimeter for the rectangle?

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

Find out more information about perimeter of square and rectangle here:

https://brainly.com/question/17055034

#SPJ2

How would you write the equation of a line that passes through (2, 3) and (3, 1)

Answers

Answer:

y= -2x + 7

Step-by-step explanation:

I did the math and the slope was -2 and the y-intercept was 7

PLZ help me do this work i don't get its hard :(

Answers

13.) 17/20

14.) 11/100

3
16.) 4—
10

17.) 31/4

3
19.) -1–
50

20.) 38

3
22.). -5—
5

3
23.). 1—
25


I don’t know the other ones. Sorry.

{(4,7),(2,5),(6,0),(4,_)} If this is a relation
is a function, then what number must
fill in the blank?

Answers

Answer:

Ans: The number will be six (6)

Which expression is equivalent to 3 the 5th power?

Answers

Answer:

The expression equivalent to 3 to the 5th power is 3^5.

The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

The solution is: The expression equivalent to 3 to the 5th power is 3^5.

Here, we have,

The number 3 raised to the 5th power is represented through the expression 3 ^ 5,

which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),

which results in the number 243,

which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

Hey can someone please help me lol

Answers

Answer:

49.53 nautical miles

Step-by-step explanation:

Adding 36 and 21 we get 57 miles.

57 converted to nautical miles would be 49.53

Simplify the expression 4(x + 5) - 3(7 + x)

Answers

Answer:

x-1

Step-by-step explanation:

Answer:

x - 1

Step-by-step explanation:

4(x+5)-3(7+x)

4( x + 5) = 4x + 20

4x+20-3(7+x)

-3(7 + x) = -21 - 3x

4x+20-21-3x

4x + 20 - 21 - 3x = x-1

1 5/6 ÷ 3/5 x 2/11 = ?

please help! will give brainliest! also, please show all work, thanks!

Answers

Answer:

75/99

Step-by-step explanation:

1) The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many
bagels can they bake in 23 hours? What was that rate per hour?

Answers

Answer:

667 bagels in 23 hours

29 bagels per hour

Step-by-step explanation:

We first find the unit rate in bagels per hour.

(290 bagels) / (10 hours) = 29 bagels/hour

Now we find the number of bagels made in 23 hours.

23 hours * 29 bagels/hour = 667 bagels

Solving for the missing side of the triangle , please help

Answers

Answer:

C=78

Step-by-step explanation:

first add 72 and 30 you get 102 then subrtract 102 from 180 and youll get your answer of 78

PGR is a right-angled triangle.

Work out the size of angle PGR. Give your answer correct to 1 decimal place.

Answers

Answer:

PQR = 67.4 degrees

Step-by-step explanation:

Here, we want to find the size of PQR

to do this, we proceed as follows

As we can see PR is the opposite while PQ is the hypotenuse

The trigonometric identity connecting the two is the sine

sine is the ratio of the opposite to the hypotenuse

sin Q = 12/13

Q = sin^-1(12/13)

Q = 67.4 degrees


How many kilograms of chocolate will each person get if 4 people share 1-3 of kilograms of chocolate equally

Answers

Answer:83 grams of chocolate.

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

4 ÷ 1/3=

All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator. Let's write this down visually:4*3/1=12/1

so flip it and you get 1/12

PLZ HELP WITH THIS QUESTION !!!!!!!!!

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

Solve for c.
-5/8c = 20

A. c = -34

B. c = -32

C. c = 26

D. c = 28

Answers

Answer:

b

Step-by-step explanation:

solve for c by simplifying both sides of the equation then isolate the variable

what is 64 thousandths in decimal form​

Answers

I am pretty sure it is 0.064. Hope this helps

The answer is .00064, because if you were to make in Thousand form it would look like this ➡️ 64,000. See the 3 Zeros? that is what makes it a thousand. now wht woul happen if we switched that around? well it would look like this ➡️ .00064. as you can see, there are 3 zeros, like in the last example. so your answer is ''.00064''

Part C Find the length and width of rectangle NEHI, and calculate its area.

Answers

Answer:

length of rectangle NEHI = NI = (38 – 8) = 30 feet

width of rectangle NEHI = NE = 5 feet

area of rectangle NEHI = length × width

= 30 × 5

= 150 square feet

Step-by-step explanation:

PLSSSS help ASAPPPPP

Answers

Answer: The amount of hotdogs you would need to sell in order to reach $300= 80

Step-by-step explanation:

Find how much money is spent per hotdog:

140÷70=2

$140= Amount made by selling 70 Hotdogs

70=Amount of Hotdogs sold already

Dividing 140 by 70 will get you the cost of 1 hotdog. This is due to division being the act of separating something into parts. There are 70 parts (or hotdogs) in this equation so therefore by separating the amount of money made by those selling those parts, the amount per hotdog would be found.

      2. Find the amount of hotdogs it would take to earn a total of $300:

300-140= 160  160÷2= 80

The question asks for a total of $300 to be earnt by selling hotdogs. $140 has already been earnt, therefore a portion of the total amount has been made. By subtracting the amount already made by the total amount of money that is wanted to be earnt, the amount of money needed to reach the $300 is found. The $160 is then divided by the amount of money spent per hotdog ($2). The answer (80) is the amount of hotdogs required to be sold to reach the goal of $300.

Please show work lol, also Brainliest goes out to the correct answer

Answers

Answer:

Answer below

Step-by-step explanation:

-16x sq2 + 3 , have a good day.

Simplify 9x - 4 + 3x

Answers

Answer:

[tex]4(3x - 1)[/tex]

Step-by-step explanation:

[tex]9x - 4 + 3x[/tex]

Adding 9x & 3x gives 12x.

[tex] = > 12x - 4[/tex]

Now taking 4 common from both the terms , we get :-

[tex]4(3x - 1)[/tex]

What is the slope of the line represented by the equation y = -1/2x +1/4?

Answers

Answer:

-1/2

Step-by-step explanation:

y = -1/2x + 1/4 is in slope y-intercept form : y = mx + b

m is slope

Slope = -1/2

Which measurements below will not create a right triangle? *
3 inches, 4, inches, 5 inches
5 inches, 6 inches, 7 inches
6 inches, 8 inches, 10 inches
5 inches, 12 inches, 13 inches

Answers

5 inches, 6 inches, and 7 inches does not create one because 5*2 plus 6*2 equal 61 not 49 of 7*

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

Answer:

A

Step-by-step explanation:

i believe it’s A!!!!!!!!!!!

Solve the equation.
-4(2: + 6) - 12 = 4

Answers

-4x 2/6-12=4
-4x2/6-12=4
-8/6-12=4
-40/3=4
No solution

this is due in a bit and im having a bit of trouble, any solutions?

Answers

Answer:

I believe that those triangles are not similar

Step-by-step explanation:

5 is 1.666 of 3

20/3=6.667

1.666 does not equal 6.667

if I did that correctly, they are not similar

Hope this helps!

Other Questions
Factor each expression, if possible. Identify any special cases, such as the difference of squares or a perfect square trinomial xy-4y+2x-8 A university lecture hall has 100 seats. During class, 30% of the seats are empty. How many students are attending class? Why did the feudal system first develop on the local level in Europe?A) Lords wanted to share their land.B) European kings passed laws requiring the implementation of Feudalism.C) The Europeans borrowed the idea from Japan.D) European people sought protection from the hazardous and barbaric times after the death of Charlemagne. Marbury v. Madison asserted Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. Mariah determines about how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below.P (number greater than 7) = StartFraction Number greater than 7 over Total number of sections EndFraction times number of spins = StartFraction 4 over 10 EndFraction (250) = 100.What mistake did Mariah make, if any? Mariah has the formula reversed; it should be the total number of sections over the numbers greater than 7.Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.Mariah should multiply by the number of sections in the spinner rather than the total number of spins.Mariah calculated the prediction correctly and did not make any mistakes. estimate 70 divided 30 which sentence.option correctly uses a semicolon Select all the correct answers.Janine needs to calculate the value of log , 81Which expressions could she input into her calculator to find this value?In 8112in 81In 12log 81log 12log 81In 12log 12log 81 n McCulloch v. Maryland, the Supreme Court ruled that state lawcould create a state bank.could not override federal law.required the federal bank to pay taxes.was constitutional. Compared to atoms of metals, atoms of nonmetals generallyA)have higher electronegativitiesB)have lower first ionization energiesC)conduct electricity more readilyD)lose electrons more readily I need help on this I would appreciate if you could Help me thank you Ken door is 2.29 meters tall. How many centimeter tall is his door Which inequality is true when the value of g is 20? What is the 149th term in the arithmetic sequence below? 3 11 19 27 A) a(149) = 1187 B) a(149) = 1199 C) a) 149) = 1184 D) a(149) = 1189I got 141 obviously that's completely incorrect plz help Heat is most closely related to which kind of energy? Three times a number increased by 8 is no more than the number 32. Find the possible answers. The space inside a circle is the ___ of the circle. circumference diameterarearadius I NEED HELP please answer it Evaluate:65155+(19) The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. A.) Find the circumference of the tire. B.) About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)I give braniliest to whoever answers write first