Find the area of the figure

Write both complex numbers in polar form: (exp(x) is the same as e ˣ)

z = 16 (cos(47°) + i sin(47°)) = 16 exp(i 47°)

w = 4 (cos(12°) + i sin(12°)) = 4 exp(i 12°)

→   zw = 64 exp(i (47° + 12°)) = 64 exp(i 59°)

→   zw = 64 (cos(59°) + i sin(59°))

Answer:

$6.22

Step-by-step explanation:

25.20

would be your answer!

Answer:

2km/hr

Step-by-step explanation:

Given the following

Speed of boat in water = 5km/hr

Speed of boat against stream = 3km/hr

Since the speed of boat is going against that of the stream, hence, the speed of the stream will be the difference between the speed of boat and that when the boat is against the stream

Speed of stream = 5km/hr - 3km/hr

Speed of stream = 2km/hr

hence the required speed of stream is 2km/hr

Answer:

The volume of the bookshelf is 180000 cm³.

Step-by-step explanation:

The dimensions of the bookshelf are 40 cm, 50 cm and 900 mm.

We know that,

1 mm = 0.1 cm

900 mm = 90 cm

Now the dimensions become 40 cm, 50 cm and 90 cm.

The volume of the bookshelf can be calculated as :

V = lbh

Substitute all the values,

V = 40 cm × 50 cm × 90 cm

V = 180000 cm³

So, the volume of the bookshelf is 180000 cm³.

Answer:

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=33.52[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - x^2[/tex]

[tex]g(x) = x^2[/tex]

[tex][a,b] = [0,2][/tex]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]

Integrate

[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]

[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]

Substitute values for a, b, f(x) and g(x)

[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]

Evaluate the exponents

[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]

Simplify like terms

[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]

Factor out 8

[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]

Integrate

[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]

[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]

Substitute 2 and 0 for x, respectively

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]

[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]

[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]

Take LCM

[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]

[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]

[tex]v = 8\pi * \frac{16}{12}[/tex]

Simplify

[tex]v = 8\pi * \frac{4}{3}[/tex]

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]

[tex]v=\frac{32*22}{3*7}[/tex]

[tex]v=\frac{704}{21}[/tex]

[tex]v=33.52[/tex]

Answer:

A i think

Step-by-step explanation:

Answer:

it's C

and that is because it's 1313

The measure of angle G is 78 degree. for better understanding check the calculation here

From the given diagram the measure of angle I is 102 degrees.

In a cyclic quadrilateral,  the sum of opposite angles are supplementary .

The sum of opposite angles are equal to 180 degrees.

[tex]m < I +m < G = 180\\[/tex]

Substitute the value of angle I and solve for angle G

[tex]m < I +m < G = 180\\\\m < I=102\\102+m < G=180\\[/tex]

subtract 102 on both sides

[tex]102-102+m < G=180-102\\m < G=78[/tex]

The measure of angle G is 78 degrees.

Option C is correct

Learn  more information about 'Cyclic quadrilateral ' here

brainly.com/question/24142962

Step-by-step explanation:

1). 1

2). 36

3). 16

sorry I can't explain it properly, all you have to do is to dive the coefficient of x by 2 and square the result

Answer:

C - 129

Step-by-step explanation:

180-51=129

Answer:

87.3

Step-by-step explanation:

Answer:

85.3333333333

Step-by-step explanation:

add the number then divide them by the number u x them with

Answer:

8727.30624 , this is the correct answer!

Answer: a=8727.30624

Step-by-step explanation:

Hope this helps :D

Answer:

6(m-1)

Step-by-step explanation:

See Image Below:)

Answer:

Step-by-step explanation:

Unit rates are:

Brand A glue is cheaper, so is the better buy

Answer:

8 oz of Brand A glue costs $2.08

1 oz of Brand A glue costs $2.08×1/8=$0.26

6 oz of Brand B glue costs $1.62

1 oz of Brand B glue costs $1.62/6=$0.27

so..A is cheap.

8 oz of Brand A glue costs $2.08 is needed to buy.

Answer:

The volume is 25.1 cubic inches

Step-by-step explanation:

Given

[tex]r = 2[/tex] --- base radius

[tex]h = 2[/tex] --- height

Required

The volume (V) of the cylinder

This is calculated using:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]V = \frac{22}{7} * 2^2 * 2[/tex]

[tex]V = \frac{22}{7} * 4 * 2[/tex]

[tex]V = \frac{22* 4 * 2}{7}[/tex]

[tex]V = \frac{176}{7}[/tex]

[tex]V = 25.1[/tex]

Answer:

b, i think.

Step-by-step explanation:

Answer:

the property that justifies the statement 17=17 is equality

Step-by-step explanation:

because it shows that it is equal

Answer:

cncjdkgkejgksjckwjnviekfkwkckkdk kdkf

Answer:

The new point is (-3,-1)

Step-by-step explanation:

yessir

Answer:

the answer is B.

Step-by-step explanation:

W= median is 58

R= median is 81

81-58=23

The median number of books checked out at Ryder is 23 more than the median number of books checked out at Williams.

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the data of Williams be represented as W

Now , W = { 63 , 56 , 60 , 55 , 62 , 55 }

And , the data of Ryder be R

where R = { 80 , 75 , 82 , 84 , 82 , 79 }

And , the median of Williams = (56 + 60) / 2 = 58

And , the median of Ryder is = 81

So , the difference of medians = 81 - 58 = 23

Hence , median number of books checked out at Ryder is 23 more than Williams

To learn more about median click :

https://brainly.com/question/28687994

#SPJ2

Answer:

Option B ig

Step-by-step explanation:

hope it helps.. stay safe..✨

Answer:

Answer should be SAS( side angle side). According to me

Answer:

the last one is incorrect

Step-by-step explanation:

the ratio of the circumference of a circle to its diameter Yes

O approximated to be 3.14 Yes

O approximated to be 2217 Yes

O the ratio of the radius of a circle to its circumference NO

Answer:

4x+6+4x+6=180[straight line]

8x=180-12

x=168/8

x=21° is a required answer.