3cis(5pi/4) in polar form

Answers

Answer 1
Rectangular form:
z = -2.1213203-2.1213203i

Angle notation (phasor):
z = 3 ∠ -135°

Polar form:
z = 3 × (cos (-135°) + i sin (-135°))

Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)

Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)

Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034

Related Questions

A number c minus 6 is less than or equal to 5.3. Write this word sentence as an inequality.

An inequality is

Answers

Answer:

C - 6 < = 5.3

Step-by-step explanation:

Writing the above as an equality, we would have ;

Since C is less than 6, then;

C - 6

Therefore, C minus 6 is less than or equal to 5.3 is

C - 6 < = 5.3

An inequality is when an unequal relationship exist between two expressions, which uses signs such as not equal to , less than < , greater than > etc.

find the y intercepts I'll mark the brainliest

Answers

Answer:

1. (0,-2)

2. (0,8)

3. (0,7)

4. (0 , [tex]\frac{1}{2}[/tex])

5. (0,-3.5)

6. (0,-4)

7. (0,0)

8. (0,-4)

9. (0,5)

10. (0,0)

Step-by-step explanation:

there are 10 boxes in total, slope is y = mx + b

the slope is always the constant.

constant: number without a variable.

y - intercept:

y = mx + b

if there is nothing after the slope it means the y -intercept is 0

The Kid Laroi

What rational number in fraction form is equivalent to 0.15 ? ​

Answers

Answer:

0.15 as a fraction is 3/20

Step-by-step explanation:

Suppose a charity received a donation of $19.2 million. If this represents 36% of the charity's donated funds, what is the total
amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer: 53 million dollars

Explanation: To find this, you first need to do 19.2/0.36 and you will get 53.3 repeating. Then, you will round down to 53 since it says round your answer to the nearest million dollars. Finally, label 53 as 53 million dollars. Hope this helped!

Question 5 Multiple Choice Worth 4 points)
(04.07A)
What is the y-intercept of the line shown?
6-
5-
4-
3
2-
0
0
3
4
1
2
0
1
3
3.5

Answers

Answer:

3

Step-by-step explanation:

The y-intercept is the line that crosses the y axis on the gragh

Al's Cardboard produces cereal boxes and uses the expression 16x ^ 2 + 56x + 24 to determine the volume of each box. The cereal box below was produced by Al's Cardboard and has a width of 8 centimeters ( cm )

Answers

Answer:(8x+24) (2x+1)

Step-by-step explanation:

Answer:d

Step-by-step explanation:

I need help please!!!!!

Answers

C is the answer because i am smart and trust me to pick c as the correct answer

what equation is y=4/5x+8 in standard form

Answers

Answer:

4x−5y=−40 I think thats the answer

9(x - 2) = 7x + 5 a) true for all values of x b) true for one value of x c) true for no values of x

Answers

Answer:

b) true for one value

Explanation:

If you solve for x, there is only one value of x

Answer:

(b)

Step-by-step explanation:

9(x - 2) = 7x + 5 ← distribute left side

9x - 18 = 7x + 5 ( subtract 7x from both sides )

2x - 18 = 5 ( add 18 to both sides )

2x = 23 ( divide both sides by 2 )

x = [tex]\frac{23}{2}[/tex]

An arithmetic sequence has this explicit formula: an = 14 + (n - 1)3. What is the recursive formula?​

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 with a₁ = 14

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, then

[tex]a_{n}[/tex] = 14 + (n - 1)3

has a₁ = 14 and d = 3

A recursive formula allows a term in the sequence to be found by adding d to the previous term, thus recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 , with a₁ = 14

If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.​

Answers

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

m=-18...................

From 13 friends to 14 friends
Percent increase

Answers

ANSWER :

about a 1.076% increase

EXPLANATION :

1. Set up your equation

13/100 = 14/x

2. Cross multiply

13x = 1400

3. Divide by thirteen on both sides

x = 107.692307

4. Transform it into percent [ divide by a hundred ]

1.076

5 pencils cost £4.25.
How much do 9 pencils cost?

Answers

Answer:

£ 7.65

Step-by-step explanation:

Cost of 5 pencils = £ 4.25

Cost of 1 pencil = £ 4.25 / 5 = £ 0.85

Now

Cost of 9 pencils = £ 0.85 * 9 = £ 7.65

Hope it will help :)❤

Step-by-step explanation:

Hey there!

Given;

The cost of 5 pencils is £ 4.25.

Cost of 9 pencils= ?

Now;

~ Finding cost of one pencil.

Cost of 1 pencil= £4.25/5

= £0.85

~ Finding cost of 9 pencils.

Cost of 9 pencils= £9*0.85

= £7.65

Therefore, the Cost of 9 pencils is £7.65.

Hope it helps....

The length and breadth of a rectangular field are in the ratio 5:4 if the perimeter is 90m find its area?

Answers

Are you Indian? Do u know Hindi?

Is range a measure of center or a measure of variation? A. measure of center B. measure of variation​

Answers

Answer:

B

Step-by-step explanation:

It’s B bc I know!!!

determine the quotient for 1/3 ÷ 7/7​

Answers

Your answer is 1/3 hope this helps you out

1.
James goes to an arcade.
He has one go on the Teddy Grabber.
He has one go on the Penny Drop.
The probability that he wins on the Teddy Grabber is 0.2.
The probability that he wins on the Penny Drop is 0.3.
(a) Complete the tree diagram.
Teddy Grabber
Penny Drop
Win
0.3
Win
0.2
Lose
Win
Lose
Lose
(2)

Answers

Answer:

Step-by-step explanation:

1.

James goes to an arcade.

He has one go on the Teddy Grabber.

He has one go on the Penny Drop.

The probability that he wins on the Teddy Grabber is 0.2.

The probability that he wins on the Penny Drop is 0.3.

(a) Complete the tree diagram.

Teddy Grabber

Penny Drop

Win

0.3

Win

0.2

Lose

Win

Lose

Lose

(2)

3. The measure of side c is 110 inches and
the measure of side a is 45 inches. What is
the length of side b?

Answers

C is it I think let me know if I’m wrong


In the diagram below, RS and ST are perpendicular.

Which equation represents ST ?
А.
-x+ 3y = 9
В.
3x + y = 13
C
-3x+y=-13
D
3x + y=23

Answers

Answer:

A==−x+3y=9

Step 1: Add -3y to both sides.

−x+3y+−3y=9+−3y

−x=−3y+9

Step 2: Divide both sides by -1.

−x

−1

=

−3y+9

−1

x=3y−9

Answer:

x=3y−9

Candice is deep-sea diving with two friends. Whitney is exploring a coral reef 56 feet in front of Candice, and Ed is floating on the surface directly above Candice. If Ed and Whitney are 70 feet apart, how far apart are Candice and Ed?​

Answers

Answer:

126

Step-by-step explanation:

  70

+ 56

 126

If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that the Candice is deep-sea diving with two friends

Whitney is exploring a coral reef 56 feet in front of Candice

The distance between Whitney and Candice is 56 feet.

Ed is floating on the surface directly above Candice.

Ed and Whitney are 70 feet apart, we need to find the distance between Ed and candice.

By using Pythagoras theorem we can find this.

70²=56²+x²

4900=3136+x²

Subtract 3136 from both sides

4900-3136=x²

x²=1764

Take square root on both sides

x=42

Hence, If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.

To learn more on trigonometry click:

https://brainly.com/question/29002217

#SPJ2

Please help me thanks please

Answers

Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

π × 7² × 21

22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

Bryant spent half of his weekly allowance on an XBOX ONE game. To earn more money his parents let him wash the car for $4. What is his weekly allowance if he has $12 at the end of the week? Which equation matches the word problem?

Answers

Answer:

$16

Step-by-step explanation:

12-4=8

8 x 2= 16

⭐hello my Friend!

he will have 16 dollars.

just do the math:

[tex]12 - 4 = 8[/tex]

[tex]8 \times 2 = 16[/tex]

⭐have good studies!

☝️follow the rules of brainly!

Dana’s new bike cost $180. Her parents agree to pay 60% of the cost if she will pay the rest. How much money will Dana need to save to help pay for the new bike?

Answers

Answer: $72

Explanation:

60%-100%=40%

40%=0.4

0.4x180=72

72=$72

Expressions include numbers, variables, and an equal sign.

True

False

Answers

False. Generally, an expression does not contain an equality symbol.  Numbers and/or variables (letters) and operation symbol(s), for example, “x + 10”

Jerry lives 3 1/2 miles away from Jake. Jerry and Jake decided to meet half between their houses and then walk to the park together. The park is located 3/5 mile from the halfway point. How far did Jerry walk in all to get to the park?

Answers

Answer: Jerry walked 2 7/20 miles to get to the park

Step-by-step explanation:

1/2 of 3 1/2

1/2 of 7/2 = 7/4

7/4 + 3/5

Find the LCM of the denominator

LCM of 4 and 5 = 20

35/20 + 12/20 = 47/20 = 2 7/20

Jerry walked 2 7/20 miles to get to the park

i need help with this

Answers

Answer:

10x + 5

coefficient goes before the x and the constant is a number by itself

Step-by-step explanation:

If f(x) = -x2 – 1, and
g(x) = x + 5, then
g(f(x)) = [? ]x? +[ ]x +[ ]

could someone help me with this please, thank u

Answers

Answer:

g(f(x)) = -x^2 + 4

Step-by-step explanation:

What we simply have to do here is to put f(x) into g(x)

What this mean is that every x in g(x) will be represented by f(x)

Thus, we have it that

-x^2 - 1 + 5

= -x^2 + 4

please help me out ASAP​

Answers

2) 7
3) 5
4) 9
5) 6
6) 8

Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.

Answers

Answer:500

Step-by-step explanation:

Which number has a 6 in the tenths place

Answers

Answer:

c

Step-by-step explanation:

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