Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all​ denominators.)

Write The Following Complex Number In Rectangular Form. 6(cos / 4+ Isin / 4) 6(cos / 4 + I Sin / 4) =

Answers

Answer 1

[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]


Related Questions

which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.

Answers

Brodie I need help with this too dm me when u got the answer thanks love
Ps. - don’t forget to dm me

If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?

Answers

The answer would be -2.89

To solve this function, the x is replaced with the new value (-4) This means that once simplified it turns into 3^(-2) - 3
Once simplified this value equals -2.89 when rounded

*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)

Answers

Answer:

447

Step-by-step explanation:

what is the radius and diameter of the following circle ? 5.1 cm ?

Answers

5.1cm is 2.00787 inch’s

(8 points) will mark brainliest!! pls help:)

Answers

Answer:

7/10

Step-by-step explanation:

Have a nice day

Answer:

2.1

hope this helped

Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.

Answers

Answer:

1.79

Step-by-step explanation:

^p = x/n

    = 260/500

    = 0.52

z = p1-p2 / √^p(1-p)/n

  = 0.52 - 0.48 / √0.48x(1-0.48)/500

  = 1.79

1/5 divided by 2/3 input the answer as a fraction

Answers

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

3/10 is the answer to your question

I need to find out the answer for this problem...

Answers

Answer:

where is the problem to solve. please tell me

1.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = (3x + 2)(−6x − 3)

A. linear function; linear term: −18x2; constant term: −6

B. quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6

C. linear function; linear term: −21x; constant term: −6

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Answers

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

If 2x + y = 7, what is the value of y when x = 3? A. 1 B. 3 C. 5 D. 7 E. 9

Answers

Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

what is the height of h of the triangle?

Answers

Answer:

4.23 feet

Step-by-step explanation:

We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.

AYUDA!!!!!!! Pls help me answer

Answers

You don't mention what's the question

E is 54, f 126. D 126

help pls I'll give briliantest and give I 10 points please I need helpppp​

Answers

Answer:

P=-120

Step-by-step explanation:

This might be higher level than I am since I am still a student but p=-120i know that

Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)

Group of answer choices

8 and 1 over 2 ÷ 1 over 4

8 and 1 over 2⋅ 1 over 4

8 and 1 over 2 + 1 over 4

8 and 1 over 2 − 1 over 4

Flag question: Question 4

Answers

Answer:

  (a)  8 1/2 ÷ 1/4

Step-by-step explanation:

Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).

  miles = (1/4)n

If Katie jogged 8 1/2 miles, then we have ...

  8 1/2 = (1/4)n

We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:

  (8 1/2) ÷ (1/4) = n

_____

Additional comment

If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.

  [tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]

If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)

As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.

2x-32=12
means they spent how much

Answers

Answer:

22

Step-by-step explanation:

please help me on my math , I need help :(

Answers

Answer:

ask sombody else

Step-by-step explanation:

guess we dont

Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?

Answers

Answer:

12

Step-by-step explanation:

If the value of a=2,y=3,find the value of x in ax/y=10

Answers

[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]

Answer:

x = 15

Step-by-step explanation:

[Given] ax/y=10

[Rewrite] [tex]\frac{ax}{y} =10[/tex]

[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]

[Simplify] [tex]\frac{2x}{3} =10[/tex]

[Multiply both sides by 3] 2x = 30

[Divide both sides by 2] x = 15

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the slope of the line?

Answers

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2

Answers

The answer is -19!

Hope this helps! :)

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

In a survey of 280 adults over 50, 75% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements. (Round to the nearest thousandths.)

Answers

The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

The formula for calculating the margin of error is expressed as:

[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

p is the proportion

n is the sample size

Given the following parameters;

p = 75% = 0.75

n = 280

z = 2.576

Substitute into the formula

[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]

Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067

Learn more on margin of error here: https://brainly.com/question/10218601

What is the solution to -5m = -40?


A. m = -8
B. m = 200
C. m = -200
D. m = 8

Answers

D- M=8
-5m= -40
-5/-5m=-40/-5
M=8
The answer is d m=8 hope it helps

Which of the following is the graph of

Answers

Answer: C

Step-by-step explanation:

Translate 9 times the sum of n and 12 to symbols

Answers

(n+12) • 9

to simplify, use the distributive property

9 • 12 = 108
9 • n = 9n
9n • 108

Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA​

Answers

Step-by-step explanation:

Given sets are :

A = {1, 2, 3}

B = {2, 3, 4}

AnB = {1, 2, 3} n { 2,3,4 }

AnB = {2,3}

Now

(AnB) X A

⇛ { 2,3 } X { 1 , 2, 3 }

⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

(AnB) X A for the given problem is

{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }

PLS ANSWER FAST!!

Write an equation of the line with a slope of 3 and a y-intercept of -7 .

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

Central/Inscribed angles w work pls i beg last one

Answers

Answer:  346/45

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

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.

14 yd 2 ft + 9 yd 2 ft

Answers

Answer:

24yd 1ft

Step-by-step explanation:

14+9 = 23

2+2 = 4

1yd = 3ft

4ft = 1yd 1ft

Answer:

14 yd 2 ft + 9 yd 2 ft = 73 feet

hope this helps

Eve is going to buy 70 pens from either shop A or shop B.

Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .

What is the difference in cost for all 70 pens between the two shops ?

Answers

Answer:  0.70

Step-by-step explanation: Shop A: 2.20*7=15.40

Shop B: 7 packs with full price and seven with half

So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven

Take sum 9.80+4.90=14.70

So the difference between the two shops is

15.40-14.70=0.70 hope i helped have a good afternoon

Choose which diagram

Answers

I assume it’s D but I’m not sure.
D because the lines match and all on how it mentions on the questions
Yeah it has to be D,hopefully it is
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