What is the volume of the figure?

The simplified form of the complex number in polar form is: 2 < (-7π/6)

To simplify the given complex number in polar form, we can apply the rules of exponentiation and division for complex numbers:

First, let's simplify the numerator:

(2 < 2π/3)^3 = (2^3) < (2π/3 * 3) = 8 < (2π)

(3 < 3π/2) remains the same.

Now, let's simplify the denominator:

4 < (7π/3) remains the same.

Next, let's divide the numerator by the denominator:

[(8 < (2π)) * (3 < (3π/2))] / (4 < (7π/3))

Using the rules of division for complex numbers, we can divide the magnitudes and subtract the angles:

(8/4) < (2π - 7π/3 - (3π/2)) = 2 < (2π/3 - 3π/2 - π/6) = 2 < (-7π/6)

Therefore, the simplified form of the complex number in polar form is:

2 < (-7π/6)

Learn more about complex numbers at https://brainly.com/question/29747482

#SPJ1

Answer: 20 inches

Step-by-step explanation:  You will use the equation 48 x 28 x N = 26,880. To find the solution divide 48 and 28 from 26,880 to get N. To check your work just multiply what you got from N by 48 and 28.

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in

Answer:

5 mugs

Step-by-step explanation:

1/2 converted into 10ths would be 5/10 ... meaning 5 mugs

Answer:

The value of “Y” is (6)

Step-by-step explanation:

the x value unit of “5” has the y value of “6.”

Answer:  6

EXPLANATION:

The x axis is the one on the bottom that goes like this : ---

The y axis is the one that is like a vertical line up like this: |

If you look at the x axis you can see that one the 5 and you go up you can see there is a dot that is on the 6.

Answer:

Owen has $71 and Ethan has $104

Step-by-step explanation:

Create a system of equations where o is how much money Owen has, and e is how much Ethan has

x + e = 175

e = x + 33

Solve by substitution by plugging in o + 33 in as e, in the first equation

o + e = 175

o + (o + 33) = 175

2o + 33 = 175

2o = 142

o = 71

So, Owen has $71 dollars

To find how much Ethan has, add 33 to this, since he has $33 more than Owen

71 + 33

= 104

So, Owen has $71 and Ethan has $104

Answer:

A, 10 of the new puppies are male and 10 are female

Step-by-step explanation:

Really this is the one that makes the most since because if 10 of the puppies are male, then 10 must be female.

Answer: A

Step-by-step explanation:

Answer:

You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.

Answer:

1/2 or 0.5

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

1/6÷1/3

1/3×1/6

1/3×6

1/18

Answer:

yes. It's a right triangle.

Step-by-step explanation:

According to the Pythagoras theorem,

a² + b² = c²

20² + 21² = 29²

400 + 441 = 841

841 = 841

LHS = RHS

Answer:

The third one and the last one:

x²+6x+9=25

(x+3)²=25

Step-by-step explanation:

If you need an explanation tell me in comments <3

(x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

What is a quadratic equation?

A quadratic equation is an algebraic equation of 2nd degree usually in the form of ax² + bx + c = 0.

Given,

x² + 6x = 16

⇒ x² + 2 × 3 × x = 16

⇒ x² + 2 × 3 × x +9 = 16 + 9

⇒ (x)² + 2 × 3 × x +9 = 25

⇒ (x + 3)² = 25

⇒ x² + 6x + 9 = 25

Hence, (x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

Learn more about quadratic equation here: https://brainly.com/question/17718371

#Tag #SPJ2

Answer:

The total weight of the file was 64 mb.

Step-by-step explanation:

Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:

100 - 40 = 60

60% = 40 seconds

40 mb = 16 seconds left

16/40 = 4/10

60/40 = 1.5

1.5% for every 1 second of download.

16 x 1.5 = 24

40 + 24 = 64

Thus, the total weight of the file was 64 mb.

Answer:

A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

B: 15 square units

Step-by-step explanation:

A:

Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)

B

The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.

The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.

The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24

The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.

The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9

The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units

The 3 deals are worth the same price per unit of $0.1 a pencil.

Based on the given prices, we can calculate the price per pencil for each pack:

       Price per pencil = $1.29 / 12 = $0.1075 (approximately $0.11)

       Price per pencil = $2.35 / 24 = $0.0979 (approximately $0.10)

       Price per pencil = $5.45 / 50 = $0.109 (approximately $0.11)

In other words, the 3 deals are worth the same price per unit of the pencil.

More on  price per unit problems can be found here: https://brainly.com/question/13646105

#SPJ1

Answer:

Linear Function

Step-by-step explanation:

I just took the test and got it right.

Answer:

235.71cm^2

Step-by-step explanation:

Volume of cone = 1/3 pie r^2 h

1/3*22/7*5*5*9

= 235.71cm^2

Volume of a cone is 235.6 cm³.

The volume of a cone is calculated the using the formula:

[tex]V = \frac{1}{3} \pi r^{3} h[/tex]

Given,

         height of the cylinder is, h=9cm.

         The diameter of the base is 10cm. r = 5 cm

    put the values into the formula to get -

          V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]

         [tex]V = 75 \pi[/tex]

Put value of π = 3. 14 ,

          V = 75 * 3.14

           V =  235.6 cm³

Therefore, Volume of a cone is 235.6 cm³.

Learn more about Volume of a cone  brainly.com/question/1578538

#SPJ2

Answer:

angle O = 36 degrees

angle N = 54 degrees

Step-by-step explanation:

90 degrees = angle O and N

2a + 18 + 5a + 9 = 90

7a + 27 = 90

7a = 63

a = 9

2(9) + 18 = 36 degrees

5(9) + 9 = 54 degrees

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

plz mark me as brainliest

Answer:

(25x^2-1)

Step-by-step explanation:

I know the simplified form of (5x+1)(5x-1)=25x^2-1.

I know because I did the box method. So, I did 5x times 5x and got 25x^2. Then, I did 5x times 1 and got 5x. Next, I did -1 times 5x and got -5x. Next, I did -1 times 1 and got -1. Then, I took these terms I got in the box and put them together, and I got 25x^2+-5x+5x-1. I had to then simplify this equation. I added like terms.

In conclusion, the simplified form of (5x+1)(5x-1) is (25x^2-1).

Answer:

Step-by-step explanation:

a

Answer:

Step one: say "5"

Step two: say "40"

Done.

answer: i think i failed this part in class

Answer:

y = -1/2x + 2

Step-by-step explanation:

If you are talking about a linear equation then b=2

The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2

So put it all together in y = mx + b so y = -1/2x + 2

Answer:

15

Step-by-step explanation:

30 + 4x=90

4x=60

x=15

The Distance between point A and Point B is √10 units.

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, Coordinates of A is (1, 8) and B is (4, 9).

Distance formula = √(x₂-x₁)² + (y₂-y₁)²

                              = √(4 - 1)² + (9 - 8)²

                             = √9 +1

                   AB     = √10

Thus, the Distance between point A and Point B is √10 units.

Learn more about Distance from:

https://brainly.com/question/12319416

#SPJ2

Answer:

4.55

Step-by-step explanation:

AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.

My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.

As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:

Answer:

C. 4i

Step-by-step explanation:

Answer:

C. 4i

Step-by-step explanation:

[tex]\sqrt{-16} = \sqrt{16} \sqrt{-1}[/tex] (because [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex])

Since [tex]\sqrt{16}[/tex]=4, and [tex]\sqrt{-1}[/tex]=i, [tex]\sqrt{-16}[/tex]=4i