What is the polar form of z?
6 StartRoot 2 EndRoot(cos(135°) + isin(135°))
6 StartRoot 3 EndRoot(cos(135°) + isin(135°))
6 StartRoot 2 EndRoot(cos(225°) + isin(225°))
6 StartRoot 3 EndRoot(cos(225°) + isin(225°))
Answers
Answer:
A
Step-by-step explanation:
edge
The polar form of z is 6√2(cos(135°) + isin(135°)).
What Is Polar Form of Complex Numbers?Complex numbers are represented in polar form as the complex number's modulus r and argument combined. Given as z = r cosθ + i r sinθ = r (cosθ + i sinθ). the polar form of the complex number z = x + iy with coordinates (x, y) is given. Polar coordinates of real and imaginary numbers in the coordinate system are used to express the polar form. A complex number in a two-dimensional coordinate system is A = x + i y
Given the point z
From the positive real axis, the angle to the point in the second quadrant is calculated (the x-axis). The only options that make sense for the second quadrant are the 135° angles, which fall between 90° and 180°.
The square root of the sum of the squares of z's components determines its magnitude:
|z| = [tex]\sqrt{x^{2} + y^{2} }[/tex]
here x = -6 and y = 6
|z| = √(-6²) + (6²)
z = 6√2
polar form is
z = 6√2(cos(135°) + isin(135°))
Hence the complex form is 6√2(cos(135°) + isin(135°)).
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Related Questions
Libby’s family went out to dinner. The dinner bill was $95 and the family gave the server a 20% tip.
a) What’s the tip? What’s the total of the dinner? Please show your math work and don’t forget the unit Please show your math work and don’t forget the unit.
PLS HELPPPP
Answers
uh is the tip is in 95 if so its 19 dollars
Answer:
$19 was the tip.
Step-by-step explanation:
A) The tip was $19 dollars. If you add the tip with the bill, it costs $114.
19*5= 95 so that mean $19 was the tip.
I really hope this helps!
A major technology startup company is growing incredibly fast. The company
started with just 4 employees, but is tripling its amount of staff every year. How
many people will be working for the company in 8 years?
Answers
Answer:8748
Step-by-step explanation:
Tripled per year = x3
1st year 4
2nd year 4 x 3 = 12
3rd 12 x 3 = 36
4th 36 x 3 =108
5th 108 x 3 = 324
6th 324 x 3 = 972
7th 972 x 3 = 2916
8th 2916 x 3 = 8748
please help the correct awnser gets brainlist
3 1/2 x 4
A. 3/4
B. 7 1/2
C. 12 3/4
D. 14
Answers
Answer:
Answer is D)14
Step-by-step explanation:
if u convert 3 1/2 into an improper fraction then it should look lie 7/2 the multiply that by 4 which equal 28/2 then divide that and it will equal 14
(Y-2,2x+1)=(x-1,y+2)
Answers
Answer:
what we have to find in this question
pls hellpppp meee brainly
Answers
Answer:
A
Step-by-step explanation:
9x4=36
36+7=43
Find the value of x that makes m || n
Answers
Answer:
a) 24
Step-by-step explanation:
To make m//n, the sum of co-interior angles (4x + 84) should be 180
4x + 84 = 180
4x = 180 - 84
4x = 96
x = 96/4
x = 24
Please help me with this
Answers
Answer:
55% in Decimal form: 0.55. 55% in Fraction form: 55/100. Hope this helps
Step-by-step explanation:
Quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. vertex A is at (-5,2) , and vertex A' is ay (2,-2), quadrilateral ABCD is translated blank..... if vertex B is at (-6,5), then vertex B is at
Answers
Answer:
(-1,3)
Step-by-step explanation:
Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).
The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.
The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.
As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.
The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).
Hence, the vertex of point B' is (-1,3).
PLEASE HELP.. THIS IS DUE TONIGHT I WILL MARK BRAINIEST
Answers
Answer:
1. Slope is -3
2. 85 meters high
3. y=60x
4. There are no solutions (C)
5. B Lana saves better at 40 dollars weekly while Elena saves 37 per week
Step-by-step explanation:
jorge is at the party supply store buying ballons for a birthday party . for every 5 ballons he buys he pays $6.25 what is the cost per ballon
Answers
5 / 6.25 = $0.8
divide the amount by the cost
Answer:
1.25
Step-by-step explanation:
6.25/5 is equal to 1.25
PLEASE HELP ME ASAP! ANYONE THATS WILLING TO GIVE THE RIGHT ANSWER.
Answers
Answer:
The perimeter of the bedroom floor is 44 ft
Step-by-step explanation:
The Perimeter of a Rectangle
Given a rectangle of width W and length L, the perimeter is the sum of all four sides:
P = 2W + 2L
We know a rug of dimensions 6 ft x 10 ft is located at the center of a bedroom floor and there are 1.5 ft exposed on all four sides of the bedroom.
Adding this length to each side, we have the dimensions of the bedroom as:
6 + 1.5 + 1.5 = 9 ft
10 + 1.5 + 1.5 = 13 ft
Thus, the perimeter of the bedroom floor is:
P = 2*9 + 2*13 = 44 ft
The perimeter of the bedroom floor is 44 ft
find the square root of 5.494
[tex] \sqrt{5.494} [/tex]
Answers
Answer:
the square root of 5.494 is 2.34
Step-by-step explanation:
The computation of the square root of 5.494 is as follows"
According to the question it is mentioned that
The number is 5.494
Now the square root of the above number is
[tex]\sqrt{5.494}[/tex]
= 2.34
Hence, the square root of 5.494 is 2.34
Therefore the same is to be considered
1. If the area of the rectangle is 12 in squared and the base is 4/11, What is the height of the
rectangle?
33 in
48/11 in
4 4/11 in
12/11 in
WILL GIVE BRAINLEST
Answers
Answer:
33 jdkdkskfjsksjaks
Step-by-step explanation:
4/11×x=12
x=33
Describe your method on how to identify the vertex angle of an isosceles triangle.
My method to identify the vertex angle of an isosceles triangle is
Answers
What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7
Answers
Answer:
A.1
Step-by-step explanation:
I did a check digit calculator and it said that this would be the check digit
The check digit is 1.
Step-by-step explanation:
The check digit on credit is calculated by the following step:
Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.Given:
The creditcard number: 6424 9813 2720 008d
To find :
Check digit,d
Solution:
6424 9813 2720 008d
Marking odd and even places from right side:
(e:even place,o:odd place)
e,o,e,o e,o,e,o e,o,e,o e,o,e,o
6 4 2 4 9 8 1 3 2 7 2 0 0 0 8 d
Multipling every even place digit with '2'.
12,4,18,2,4,4,0,16
If two digit number then add both digits to have single digit
12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7
Now adding all the digits obtained in prevoius step with digits at odd place:
(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59
The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.
59+1 = 60
(60 is a multiple of the number '10'.)
The check digit is 1.
Learn more check digit here:
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Find a formula for the transformation of reflection across the line l with equation y = -x.
Answers
Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point
[tex]P(x, y)[/tex]
If we reflect a point [tex]P(x, y)[/tex] across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
question number five
Answers
Answer:uhhh
Step-by-step explanation:
Help please I think Ik the answer but I’m not sure and I need to get my grade up in my math class so please
Answers
y is greater than or equal to x-4
Which arithmetic sequence is represented by the expression 3n+1 , where n represents the position of a term in the sequence?
A.3,6,9,12,15,...
B.4,7,10,13,16,...
C.4,5,6,7,8,...
D.3,4,5,6,7,...
please help it is for a test and it is due tomorrow.
Answers
Answer:
a
Step-by-step explanation:
The arithmetic sequence represented by the expression 3n+1 , where n represents the position of a term in the sequence is B.4,7,10,13,16,...
check:
A. 3,6,9,12,15,...
using the 4th term
first term, a = 3
4th term = 12
3n + 1
= 3(4) + 1
= 12 + 1
= 13
not applicable
B. 4,7,10,13,16,...
using the 4th term
first term, a = 4
4th term = 13
3n + 1
3(4) + 1
= 12 + 1
= 13
applicable
C. 4,5,6,7,8,...
using the 4th term
first term, a = 4
4th term = 7
3n + 1
= 3(4) + 1
= 12 + 1
= 13
not applicable
D. 3,4,5,6,7,...
using the 4th term
first term, a = 3
4th term = 6
3n + 1
= 3(4) + 1
= 12 + 1
= 13
not applicable
Therefore, arithmetic sequence represented by the expression 3n+1 , where n represents the position of a term in the sequence is B. 4, 7, 10, 13, 16,...
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Find the HCF of following polynomial expression.
x^3-x, x^2-x-2
Answers
Answer:
HCF of following polynomial expression is x
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A
13 feet
B
25 feet
C
26 feet
D
38 feet
Answers
Answer:
13
Step-by-step explanation:
Ok so we will eliminate some numbers first. The width is 12, but the total on the perimeter is 24. 50-24 = 26
26 is not the length, so divide that by 2, and get 13
Proof:
x=2
13x=26
12x=24
24+26 = 50
What is the volume of a pyramid that has the same base and height as this prism?
the length is 3 and the width is 3 and the height is 9
Answers
Answer:
Step-by-step explanation:
The answer is 18
Answer:
27
Step-by-step explanation:
the scale factor between two similar shapes is 4. what is the scale factor of area
Answers
Answer:
16
Step-by-step explanation:
Your company makes game parts using 3-D printers. One customer wants a circular game coin that is 2.0 centimeter across and 0.5 centimeters thick. You need to estimate the of plastic you will need for each arch of 50 coins. How many cubic centimeters is that, rounded up if necessary to be a multiple of 10 cubic centimeters?
Answers
Answer:
80 cm^3
Step-by-step explanation:
The computation of the number of cubic centimeters rounded up to 10 cubic centimeter is shown below
For any type coin,
r = d ÷ 2
= 2 ÷ 2
= 1 cm
l = 0.5cm
For making 1 coin, the plastic required would be = Volume of coin
= πlr^2
= 3.14 × 0.5 × 1 × 1
= 1.57cm^3
Now For 50 coins,
Plastic needed is
= 50 × 1.57
= 78.5cm^3
= 80 cm^3
LOOK AT THE PICTURE PLEASE HELP
WILL MARK BRAINLIEST
Answers
Answer:
4
Step-by-step explanation:
You can convert 2/3 to 4/6 so that the denominators for the two fractions you are dividing are the same.
4/6 divided by 1/6 is 4 because 4/1 = 4
A band is paid $50 for performing at a restaurant. For each customer
that eats at the restaurant, the band is paid $2 more. Evaluate m (100)
Answers
Answer:
If there are 100 customers, the band will be paid $250.
Step-by-step explanation:
50 + 2m
m = 100
50 + 2(100)
50 + 200
= 250
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Find the coordinates of a point in Quadrant 3 that makes the following triangles congruent.
Triangle GHJ: G (1,-6), H (2,-5), J (2,1)
Triangle NOP: N (-6,1), O (-5,2)
A. P(-3,-4)
B. P(-4,-3)
C. P(-5,-6)
D. (-6,-5)
Answers
Answer:
c. triangle ghj
d. triangle nop (i could be wrong for both though)
Step-by-step explanation:
Two shapes that are the same size and the same shape are congruent. They are identical in size and shape
A sum of money invested at the compound interest payable yearly has interest in
2 years and 4 years are Rs. 4,200 and Rs. 9282 respectively. Find the rate of
interest
Answers
Answer:
49% and 30% respectively
Step-by-step explanation:
Step one:
Given data
Principal = Rs. 4,200
Final Amount= Rs. 9282 respectively
time = 2 years and
time = 4 years
Required
The rate of interest for 2 and 4 years
Step two:
the compound interest formula is
A= P(1+r)^t
for 2 years
Substitute
[tex]9282= 4200(1+r)^2\\\\9282/4200= (1+r)^2[/tex]
[tex]1+r= \sqrt{\frac{9282}{ 4200} }\\\\1+r= \sqrt{2.21} \\\\1+r= 1.49\\\\r=1.49-1\\\\r= 0.49\\\\[/tex]
the rate is 49%
For 4 years we have
[tex]9282= 4200(1+r)^4\\\\9282/4200= (1+r)^4[/tex]
[tex]1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\[/tex]
the rate is 30%
HELP!!!! 15 points marked brainliest
Answers
Answer:
it's answer is SAS
hope it helps you
Answer:
SAS is the right answer
Step-by-step explanation:
.........
Find the value for p given the equation p/2+1=3
Answers
p/2=2
Take 2 to the other side and multiply it
2*2 is 4
So p is 4