What is the product of 16(cos(47)+isin(47)) and 4(cos(12)+isin(12))?

Answers

Answer 1

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°))


Related Questions

find the midpoint segment with the following endpoints. (2,-9) and (-4,-4)

Answers

Answer:(4, 5) .                                                                    

dkfjsdlkfjsdlkfjsdklfjsdlkfj

8x – 9y = –61
x +9y = 43
what is the y coordinate?

Answers

Answer:

The answer is y=5

Step-by-step explanation:

9x=-18

x=-2

-2+9y=43

9y=45

y=5

7,8,10,10,12,15 what is the mean of these numbers?


Marking brainliest

Answers

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333

A medication is 69 % effective against a bacterial infection. Find the probability that if 8 people take the medication at least 1 person's infection will not improve. Please round the final answer to three decimal places.​

Answers

Answer:

5.52%

Step-by-step explanation:

there is a 5.52% chance of it not improving you do 69% of 8 and that determines if its not gonna get better.

What quadrant does Cos A < 0, Tan A < 0

Answers

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Help Help Help Help Help FAST GO ZOOOOOOOOOOOOM WITH THIS QUESTION PLEASE

Answers

Answer:

A. 60+x=90

Step-by-step explanation:

Complimentary angles are angles that add to 90.

60+x=90 all complementary angles add up to 90 degrees

Megan earned the following test grades for the third nine weeks: 95, 84, 90, 78, 83. Find the mean absolute deviation of the data. Do not round, enter any decimal.

Answers

Answer:the answer is FREE COINS!

Step-by-step explanation:

78 bc that’s the the baddest answer

what is 78.57 rounded to the nearest hundredth?

Answers

Answer:

79 would be rounded to the nearest hundredth

Answer:

78.57

Step-by-step explanation:

The number in the hundredths place is 7. 78.570

So then you look to the number to the right which is zero so you round down to 78.57

So, the answer is the same.

78.57

Hope this helps!

What is the point-slope form of a line with slope-5 that contains the point
(2, -1)?

Answers

Answer:

point slope form

y-y1=m(x-x1) where

m=slope and you are given a point (x1,y1)

slope=-5

point is (2,-1)

x1=2

y1=-1

m=-5

so

y-(-1)=-5(x-2)

y+1=-5(x-2) is answer

Anybody good at math 8th grade homework

Answers

Answer:

Step-by-step explanation:

I could help you

but I need you help two just in two questions just post them pls answer them and i will help u

A puppy’s weight increased from 12 pounds to 15 pounds. By what percentage did the puppy’s weight increase?

Answers

Answer:    25%

=======================================================

Work Shown:

A = old value = 12 pounds

B = new value = 15 pounds

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-12)/12 ] * 100%

C = (3/12)*100%

C = 0.25*100%

C = 25%

The positive C value indicates a percent increase

So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%

Note that,

25% of 12 = 0.25*12 = 3

This says that the puppy gained 3 pounds, which is the value of B-A

Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds

-----------

As an alternative, we could divide the two values B over A to find that

B/A = 15/12 = 1.25

Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%

pls help
no links
10 pts

Answers

Answer:

98 cm^2

Step-by-step explanation:

7 x 14 =98

What does the series represent to the bike owner answer all plz :)

Answers

Answer:

lol or i could just answer it on here

Step-by-step explanation:

Gabe walks from his house to the library then to the gymnasium what is the total distance he walked

Answers

Answer:

4.6 and 10.3

Step-by-step explanation:

3 What is the median of the data shown?
38, 50, 43, 33, 35, 30, 64, 43, 41
А 34
B 35
С 41
D 43

Answers

It is c

Plz mark brainliest I just took a test with this!

an ___ is a statement of equality of two algebraic expressions involving one or more unknown quantities​

Answers

Answer:

Equation

Step-by-step explanation:

an equation is a statement of equality of two algebraic expressions involving one or more unknown quantities.

Find the scale factor of ΔABC to ΔFGH.

Answers

Answer:

4:3

Step-by-step explanation:

AC=8

FH=6

8/6=4/3=4:3

Please help if u can no links or I’ll report u !

Answers

Your answer would be 5

PLEASE HELP ME PLEASE

Answers

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

A bag contains marbles of which 8 are blue; 5 are red; 3 are yellow, and 4 are orange. What is the probability of randomly drawing an orange marble, replacing it, and then drawing a blue marble?

Answers

I think the answer is 12/20 or 3/5 because out of the 20 marbles you are drawing 4 orange and 8 blue and replacing it. So 8+4=12 and there are 20

a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?

Answers

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

HELPPOOOOOOOOOO!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the correct answer is3 1/2

3 1/2 should be your answer I hope this helps :)

Using the graphing function on your calculator, what is the solution to the system of equations show below?
y + 2x5
4y+ 5x = 14
A. x=2, y=1
B. More than 1 solution
C. x= 1, y = 2
D. No solution

Answers

Answer:

ima redo my answer but

Step-by-step explanation:

For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first

The radius of a circle is 7.9 ft. Find the circumference to the nearest tenth.

Answers

The answer is C=49.64 ft

Answer:

7.9

2 x 3.14 x 7.9 = 49.612 rounded up will be: 49.6 ft

Which statements are true about the number 2One-fourth? Check all that apply.

Answers

Answer:

wheres the picture

Step-by-step explanation:

Which is the rate of change for the interval between 2 and 6 on the x-axis?

Answers

I believe your answer is 3, but im not sure honestly. Hope this helps sorry.

A box is to be wrapped in a shiny red decorative paper.The box is 9 inches long,5 inches wide,and 4 inches high.How much wrapping paper would be needed to completely wrap this box?

Answers

Answer:

Draw a figure!

There are 6 surfaces to add.

4 of them have area 9*5 and 2 have area 5*4.

You should be able now to compute the surface areas.

Step-by-step explanation:

Will mark brainiest if u give a real answer not a link

create an exponential function given 2 point
1. (-1,2) and (1,8)

2. (1,1) and (-1,4)

Answers

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!

I need help answering this

Answers

x=4. hope this helped

What is the probability that a customer ordered a hot drink given that he or she ordered a large?

Answers

i really don’t understand this question. can you explain this in the comment so i can answer your
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