What is 56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))?
O 8(cos(30) + i sin(3))
49(cos(30) + i sin(30))
8(cos(22) + i sin(22°))
O 49(cos(22) + i sin(22'))

Answers

Answer 1

Answer:

Step-by-step explanation:

56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))

Divide both sides by 7 to get;

8(cos(33) + i sin(33)) = (cos(11°) + i sin(11°))

Expanding and Rearranging gives;

8cos(33) + 8i sin(33)) - cos(11) - isin(11)

This gives ;

8Cos(22) + 8i sin(22) = 8(Cos(22) + I sin(22)


Related Questions

What is the value of 2a3 - a, when a = 4?

Answers

The value of the given equation is 124.

Calculation of the a value:

Since the equation is [tex]2a^3 - a[/tex] and a = 4

So, the value of a is

[tex]= 2a^3 - a\\\\= 2(4)^3 - 4\\\\= 128 - 4[/tex]

= 124

Hence, The value of the given equation is 124.

Learn more about the value here: https://brainly.com/question/4700495

Find the mean of the following set: 30, 16, 29, 14, 21

Answers

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

help please! find m∠bcf

Answers

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

_______ :21=5:7


10:100=_______:200



12:28=_________:7


48:_________=8:9


36:75=12:________


56:120=_______:8


2:4=________:2


45:________=15:20



_______:65=9:13


180:210=_______:35



63:_______=7:8



48:72=4:_______



________:100=6:10



36:108=6:________



3:________=1:3




_________:180=8:20



81:126=9:_______



________:33=2:3

Answers

Answer:

Step-by-step explanation:

1) 10:18=5:9

2) 15:21=5:7

3) 10:100=20:200

4) 12:28=3:7

5) 48:54=8:9

6) 36:75=12:25

7) 56:120=3.733:8

8) 18:24=6:8

9) 2:4=1:2

10) 45:60=15:20

11) 45:65=9:13

12) 180:210=30:35

13) 63:72=7:8

14) 48:72=4:6

15) 60:100=6:10

16) 36:108=6:18

17) 3:9=1:3

18) 72:180=8:20

19) 81:126=9:14

20) 22:33=2:3

Answer:

1. 15 :21=5:7

2. 10:100=20:200

3. 12:28=3:7

4. 48:54=8:9

5. 36:75=12:25

6. 56:120=3.73..:8

7. 2:4=1:2

8. 45:60=15:20

9. 45:65=9:13

10. 180:210=30:35

11. 63:72=7:8

12. 48:72=4:6

13. 60:100=6:10

14. 36:108=6:18

15. 3:9=1:3

16. 72:180=8:20

17. 81:126=9:14

18. 22:33=2:3

Bob needs to tile his
kitchen floor. Each
tile is 12 inches by
12 inches. His kitchen
is 11 feet by 13
feet. How many tiles
will he need?

Answers

Answer:

143ft

Step-by-step explanation:

12in is 1 foot and 13x11 (11x13) is 143

calculate the tax amount they pay in a form of tax (tax =R14 850)​

Answers

Answer:

246373737

Step-by-step explanation:

good luck

A fruit vendor wholesalers 50 kg of peaches for $ 110. For other business expenses, add $ 15. He got the kilo of peaches for $ 2.99. Unfortunately, over the weekend, he lost the rest of 10 kg that he didn't own. Has the peach business paid off for him?​

Answers

2.99 cents to add the to original total for his business

Find the value of x please

Answers

The answer to that problem is 54

Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

8 × 2 ÷ 6 i need help

Answers

Answer:

2.6 or 2.66

Step-by-step explanation:

multiply 8 x 2 = 16

divide 16 ÷ 6

there i guess

Answer:

2 2/3

Step-by-step explanation:

Since we have both multiplication and division, we solve if from the beginning to the end. 8 * 2 = 16 and 16 divided by 6 is equal to 8/3, which simplifies to 2 2/3

Choose True or False A. There is 0.15 centimeter in 15 meters. B. Eight pounds is equal to 128 ounces. C. There are 108 inches in 9 yards. D. 16 kilometers is equal to 16,000 meters.​

Answers

Answer:

B

Step-by-step explanation:

Eight pounds are equal to 128 ounces.

A) False

B) True

C) False

D) True

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

? = 36.87°

Step-by-step explanation:

sin ? = 36/60 = 0.6

? = 36.87°

PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST TO WHOEVER GETS THIS RIGHT

Answers

Answer:

2m-44

Step-by-step explanation:

this is the answer

Ms. Wang and her class are selling bags of cookies to raise money for a field trip.
Each bag weighs 140 grams and has 6 cookies.
Each cookie has the same amount of dough that weighs 14 grams.
Each cookie has the same amount of candy
If a bag of candy has 20 grams of Candy, how many bags of candy does the class need to make 18 cookies?

Answers

Answer:

9 bags of candy

Step-by-step explanation:

6 cookies at 14 grams each = 84 grams meaning the remaining grams of the 140 have to be the weight of the candy which = 56 grams (140-84). To find out how much candy is in one cookie divide 56 by 6 which = 9.33333. You then divide 20 by 9.3333 which = 2.14 (rounded to nearest 10th). Since you can get just over 2 cookies worth of candy per bag you only need half the number of cookies in bags of candy (9 bags)

Please help I will give you brainliest

Answers

Answer:

34

Step-by-step explanation:

Please tell me the equation of the line below in slope intercept form

Answers

Answer:

y=3/2x+2

Step-by-step explanation:

i hope this helps :)

Need help don’t know how to do this

Answers

I am not sure but I think the answer is 8

i need help on this plz

Answers

Answer:B

Step-by-step explanation:

Given y = 4x- 5. Express x in terms of y.​

Answers

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

Percents! Please answer!!


Answers

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

Which value for x satisfies the equation 3x – 6 = 15?
Ο Α. 3
O B. 7
O C. 18
O D. 27

Answers

Answer:

15-6=9

3÷9=3

Step-by-step explanation:

so it is A because if you ever see that just subtract the one number in front of the equal sign then divide the number beside the x.

A population of 430 animals increases at an annual rate of 19%. Find the number of animals present after 5 years. Round your answer to the nearest whole number.

Answers

19% of 430 is 81.7.

81.7 x 5 = 408.5

408.5 + 430 = 838.5

The population of animals present after 5 years is 838.5, but rounded to the nearest whole number would make it 839.

Answer:

1026

Step-by-step explanation:

Initial number = 430Increase rate = 19% = 1.19 times per year

Number of animals after 5 years:

430*1.19^5 = 1026

What is the measure of angle D?

Answers

Answer:

m<D = 26

Step-by-step explanation:

<D = x

x + 122 + 32 = 180

x + 154 = 180

x = 180 - 154

x = 26

Answer:

Step-by-step explanation:

<D + 122° + 32° = 180° ( being sum of angles of triangle )

< D = 180° - 154°

< D = 26°

India has $100 and saves $18. each month China has $60 and saves 20 each month when will the girls have the same amount of money

Answers

After 20 months is the correct answer!Double-check:$18 x 20 = $360$360 + $100 = $460$20 x 20 = $400$400 + $60 = $460Please let me know if I am wrong.The names tho

please help quick!! i’ll give brainliest!!

Answers

Answer:

its the second one i belive

Step-by-step explanation:

what is 24.79 x 4,022 pls

Answers

Answer:

[tex]24.79 \times 4022 \\ = 99705.38[/tex]

Answer:

99705.38

Step-by-step explanation:

hope that helps

if correct plz plz mark as brainliest

thank you and have a good day

19NBoli

:)

The angle measure of angle LNM is __Degrees

Answers

Answer:

90 Degrees

Step-by-step explanation:

<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.

(3x + 10) + (3x + 2)

Answers

Answer: 18

Step-by-step explanation: 3 + 10 = 13. 3 + 2 = 5. 13 + 5 = 18

Answer:

Step-by-step explanation:

3x + 10 + 3x + 2      add the like terms

(3x + 3x) + (10 + 2)

6x + 12     <--------------------  Final

Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42m​-by-42m square. Val says the area is 1005.48 m^2. Find the area enclosed by the figure. Use 3.14 for pi. What error might Val have​ made?

Thanks in advance!
I don't have anymore points so please make a good and accurate answer.

Answers

Answer:

Area of the enclosed figure = 3148.74 [tex]m^{2}[/tex]

Step-by-step explanation:

Area enclosed by the figure = 2 x area of the semicircle + area of the square

For the semicircle,

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{42}{2}[/tex]

          = 21 m

area of a semicircle = [tex]\frac{1}{2}[/tex] x [tex]\pi r^{2}[/tex]

                                = [tex]\frac{1}{2}[/tex] x 3.14 x [tex](21)^{2}[/tex]

                                = 692.37 [tex]m^{2}[/tex]

area of a square = length x length

                            = 42 x 42

                            = 1764 [tex]m^{2}[/tex]

Thus,

area enclosed by the figure = 2 x 692.37 + 1764

                                              = 3148.74 [tex]m^{2}[/tex]

The total area enclosed bu the figure is 3148.74 [tex]m^{2}[/tex]

(Look at the picture, please.)

Answers

Answer:

the answer is D : 1/2 :))))))

That answer would be D- 1/2

What are the coordinates if (-5,-6) is rotated by 180?

25 pts?

Answers

Answer:

(5,6)

Step-by-step explanation:

 Initial Coordinate   rotated 180°   is just a sign change    new coordinate

coordinate (x, y)       rotated 180°   is just a sign change     (-x, -y)

if                 (-x, y)      rotated 180°   is just a sign change     (x, -y)

if                 (x, -y)      rotated 180°   is just a sign change     (-x, y)

if                 (-x, -y)      rotated 180°   is just a sign change    (x, y)

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