Find the quotient of z1 by 22. Express your answer in trigonometric form
HELP ASAP

Find The Quotient Of Z1 By 22. Express Your Answer In Trigonometric FormHELP ASAP

Answers

Answer 1

Condense z₁ and z₂ into their exponential forms:

z₁ = 3 (cos(π/4) + i sin(π/4)) = 3 exp(i π/4)

z₂ = 7 (cos(3π/8) + i sin(3π/8)) = 7 exp(i 3π/8)

Then the quotient of z₁ and z₂ is

z₁ / z₂ = 3/7 exp(i (π/4 - 3π/8)) = 3/7 exp(-i π/8)

and in trigonometric form,

z₁ / z₂ = 3/7 (cos(-π/8) + i sin(-π/8))) … … … D


Related Questions

-0.5-x=a positive anwer i need help i soo need a a in my math class so help please

Answers

x= -a-0.5

you add (0.5) to both sides, to cancel out the -0.5 on the left side.

then you have -x=a+0.5

then multiply both sides by (-1) to cancel out the (-x).

so youre left with x= -a - 0.5
Firstly, I think the other commenter misread, it’s not a, it’s a positive integer. x must equal a negative number that is less than -0.5

The boy is 56 inches tall and casts a shadow of 48 inches. Which is closest to the height of the tree?


Options

27. 4 ft


37. 3 ft


40. 0 ft


42. 0 ft

Answers

Answer:

27.4 ft

Step-by-step explanation:

because only 27.4 small tree

2.9 months to 4.9 months

Answers

You need to do 4.9 - 2.9
Can you do that

tutorial from edmentum please help!

Answers

Answer:

[tex](\frac{3}{8} )^{-2} (\frac{1}{3}* \frac{3}{8})^3 ( \frac{1}{3} )^4[/tex]

[tex](\frac{3^-2}{8^-2} ) (\frac{1^3}{3^3}* \frac{3^3}{8^3}) ( \frac{1^4}{3^4} )[/tex]

[tex](\frac{64}{9} ) (\frac{1}{27}* \frac{27}{512}) ( \frac{1}{81} )[/tex]

[tex](\frac{64}{9} ) (\frac{1}{512}) ( \frac{1}{81} )[/tex]

Simplifies to= [tex]\frac{1}{5832}[/tex]

Answer:

you dont have to answer hte tutorials jus submit it they dont see it uwu

Step-by-step explanation:

can somone explain pythagorous

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]AC^2+BC^2=AB^2[/tex]

BC= x

AB= 10 cm

AC= 8 cm

~

Now, Substitute

[tex]8^2+x^2=10^2[/tex]

[tex]64+x^2=100[/tex]

[tex]100-64=x[/tex]

[tex]\sqrt{36}=x^2[/tex]

Square root x^2= x, √(36)=6

[tex]x=6[/tex]

Therefore, the length of x = 6

~

100 POINTS!!!please hurry!!! find the measure of E

Answers

Answer:

Look at the attachment

DE=DF

So triangle is isosceles

<E=<F=55°

I need help answering this. Please and thanks

Answers

Knowing the angles are equal, the value for y is 40.

Angle Bisector

The angle bisector is the line segment that divides the angle into two equal angles.

Thus, if OF is the angle bisector for EOG, the angles EOF and FOG are equal.

For finding y, you can write:

EOG=FOG

y+30=3y-50

y-3y=-50-30

-2y=-80

y=80/2

y=40

Read more about the angle bisector here:

https://brainly.com/question/24677341

A game of “Doubles-Doubles” is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double. If a player rolls doubles, the player earns 5 points and gets another roll. If the player rolls doubles again, the player earns 5 more points. Whenever the player rolls the dice and does not roll a double, they lose points.
How many points should the player lose for not rolling doubles in order to make this a fair game?
5/6
1
5
10/6

Answers

Answer:

(B) 1 is the answer.

Step-by-step explanation:

10/36+ 5(5-x)/36-5x/6= 0

x= -1

that means losing 1 point makes the game fair.

Answer:

B - 1

Step-by-step explanation:

100%

Futhe Mathematics
[tex](Cos {}^{4}t -Sin {}^{4}t ) \div Cos {}^{2}t[/tex]

Answers

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

[tex]\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t } [/tex]

We can write the numerator as ,

[tex]\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t } [/tex]

Recall the identity ,

[tex]\longrightarrow (a-b)(a+b)=a^2-b^2[/tex]

Using this we have ,

[tex]\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}[/tex]

Again , as we know that ,

[tex]\longrightarrow sin^2\phi + cos^2\phi = 1 [/tex]

Therefore we can rewrite it as ,

[tex]\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}[/tex]

Again using the first identity mentioned above ,

[tex]\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}[/tex]

Or else we can also write it using ,

[tex]\longrightarrow cos2\phi = cos^2\phi - sin^2\phi [/tex]

Therefore ,

[tex]\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}[/tex]

And we are done !

[tex]\rule{200}{4}[/tex]

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

[tex]\longrightarrow cos(x + x ) [/tex]

As we know that ,

[tex]\longrightarrow cos(y + z )= cosy.cosz - siny.sinz [/tex]

So that ,

[tex]\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x) [/tex]

On simplifying,

[tex]\longrightarrow cos(x+x) = cos^2x - sin^2x [/tex]

Hence,

[tex]\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }} [/tex]

[tex]\rule{200}{4}[/tex]

It takes 20 minutes for Janis to prepare lunch. When Kristen helps, it only takes 12 minutes. How many minutes would it take Kristen to prepare the same lunch if she worked alone

Answers

Answer:

30

Step-by-step explanation:

(Solution: 12/20 + 12/x = 1, x = 30 min)

9xsquared -49 factorise

Answers

Answer:

(3x-7)(3x+7)

Step-by-step explanation:

3^2 * x^2 -7^2 (expand that out)

(3x)^2 - 7^2

(3x-7)*(3x+7)

Answer:

(3x+7)(3x-7)

Step-by-step explanation:

Applying the Difference of Two Squares(D.O.T.S) formula:

[tex]x^{2} -y^{2} =(x+y)(x-y)[/tex]

9x²= (3x)²

49=7²

Put 3x as x and 7 as y into the D.O.T.S formula:

(3x+7)(3x-7)

Mark as Brainliest please

giving brainlist and thanks!!

can an equation in standard form be graphed as a curve?

Answers

Answer:

No Equation in Standard form can't be graphed in Curve.

Find the surface area of the cylinder to the nearest whole number.

15 in

19 in.

Not drawn to scale

Select one:

a. 1791 in. 2

b. 11281 in. 2

c. 3204 in. 2

d. 5815 in. 2

Answers

Answer:

the answer you are looking for is C

The angle from a stake in the ground to the top of a tree is 60 degrees. If the height of the tree is 40 feet, what is the distance from the stake to the bottom of the tree (the distance along the gound) in feet? Please explain your answer!

Answers

Answer:

23.09 ft

Step-by-step explanation:

Here we are given that the angle from stake in ground to the top of the tree is 60° and the height of the tree is 40ft . We are interested in finding out the distance from stake to the bottom of the tree . For figure refer to the attachment .

From the figure , BC = 40ft which is the perpendicular of the right angled triangle ABC . Also assume that AB = x ft , which is the base of the triangle .

Now since we have base and perpendicular , we should use the ratio of tangent as ,

[tex]\rm\longrightarrow tan\theta =\dfrac{perpendicular}{base}=\dfrac{p}{b} [/tex]

And here [tex]\theta[/tex] = 60° . On substituting the respective values , we have ;

[tex]\rm\longrightarrow tan 60^o =\dfrac{40\ ft}{x \ }\\ [/tex]

And the value of tan60° = 3 , so that ;

[tex]\rm\longrightarrow \sqrt3 =\dfrac{40\ ft}{x} [/tex]

Cross multiply ,

[tex]\rm\longrightarrow x =\dfrac{40}{\sqrt3}ft. [/tex]

The value of √3 is 1.732 approximately .

[tex]\rm\longrightarrow x =\dfrac{40}{1.732}ft. [/tex]

Simplify,

[tex]\rm\longrightarrow \underline{\underline{\red{{x =23.09\ ft }}}} [/tex]

And we are done !

how to change 35/21 into its mixed fraction

Answers

Answer:

[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

INFORMATION/REMINDS ALREADY KNOWN:

Numerator. This is the number above the fraction line. For 35/21, the numerator is 35.Denominator. This is the number below the fraction line. For 35/21, the denominator is 21.Improper fraction. This is a fraction where the numerator is greater than the denominator.Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.Step 1: Find the whole number

We need to find the whole number first, which we accomplish by dividing the numerator by the denominator. We ignore any digits to the right of the decimal point since we are only interested in whole numbers.

[tex]35/21= 1.6666666666667 = 1[/tex]

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

We'll use the whole number we calculated in step one (1) and multiply it by the original denominator to figure this out (21). The numerator is then subtracted from the result of that multiplication:

[tex]35 - (21 * 1) = 14[/tex]

Step 3: Our mixed fraction

We've now simplified 35/21 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

[tex]1\frac{14}{21}[/tex]

Step 4: Simplifying our fraction

Our fraction (14/21) can be simplified even more in this example. To do so, we must determine the GCF (greatest common factor) of those two numbers. If you want to do it yourself, you can use our handy GCF calculator. We've done it earlier, and the GCF of 14 and 21 equals 7.

We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.

[tex]\frac{14}{7} = 2\\\frac{21}{7} = 3[/tex]

When we put that together, we can see that our complete answer is:\

[tex]1\frac{2}{3}[/tex]

Question of the week. Whoever gives correct answer will be awarded Brainliest.​

Answers

Answer:

B. 9

Hope it helps!

9

Step-by-step explanation:

3^4=81

3^2=9

therefore 81/9=9

What are the factors of x2 – 100? (x – 50)(x 50) (x – 10)(x 10) (x – 25)(x 4) (x – 5)(x 20)

Answers

Answer:

(x + 10)(x - 10)

Step-by-step explanation:

x² - 100 = x²- 10²

x² - 100 is the difference of two squares.

The factorization of the difference of two squares is

a² - b² = (a + b)(a - b)

x² - 100 = (x + 10)(x - 10)

what are the first 100,000 digits of pi?

Answers

Answer:

Step-by-step explanation:

Uh, well, you can visit websites that have the first 100,000 digits of pi. I tried putting one of the links here, but I was warned and my answer was deleted, so this is the best that I can help you, I guess.

a 150 pound person uses 6.2 calories per minute when walking at speed of 4 mph . How long must a person walk at this speed to used at least 200 calories ?

Answers

Answer:

4960

Step-by-step explanation:

6.2 cal = 4mph

1 cal = 6.2 * 4 = 24.8mph

200 cal = 24.8 * 200 = 4960mph

Do mark BRAINLIEST

pls help me plsssssss!!!!!!
x/3 + 7 ≥ 14←←←←←←←←←←←

Answers

Answer:

x bigger than or equals to 21

Step-by-step explanation:

[tex] \frac{x}{3} + 7 \geqslant 14[/tex]

[tex] \frac{x}{3} \geqslant 7[/tex]

[tex]x \geqslant 21[/tex]

Ayuda por favor/Help please

Answers

Answer:

no solution

Step-by-step explanation:

2x + 3x - 60 = 5x

combine like terms

5x - 60 = 5x

subtract like terms (5x-5x = 0)

-60 = 0, which is untrue so there is no solution

The value of the digit 4 in the number 42,780 is 10 times the value of the digit 4 in which number? A 34,65134,65134,651 B 146,703146,703146,703 C 426,135426,135426,135 D 510,400510,400510,400

Answers

Answer:

Its A

Step-by-step explanation:

Missing: 65134, ‎703146, ‎135426, ‎510, ‎400510, ‎400

Order the group of quadratic functions from widest to narrowest graph.
y=3x^2, y=5x^2, y=7x^2.

Answers

Answer:

y=3x^2,y=5^2,y=7x^2

Step-by-step explanation:

y=3x^2 is the widest, y=7x^2 is the narrowest, which leaves y=5x^2 in the middle

In a survey, 250 adults and children were asked whether they know how to
a
swim. The survey data are shown in the relative frequency table.
Can swim
Cannot swim
Total
0.34
0.06
Adults
Children
0.48
0.12
Total
What percentage of the people surveyed cannot swim?
A. 40%
B. 12%
C. 6%
O O
D. 18%

Answers

Answer:

18%

Step-by-step explanation:

0.12 is 12 percent.

We also have the 0.06 percent which would just be 6 percent

We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.  

Our final answer is D.

Maritza had to solve 5(4m-6)-10

Answers

Hi! I hope you're enjoying your day!

I can help Maritza solve this maths problem. ;)

The first step in solving this problem is using the Distributive Property and distribute 5.

How to distribute 5:

multiply 5 times 4m and -6 and simplify :)

So let's do it! :)

5(4m-6)-10

20m-20-10

Now, combine like terms:

[tex]\boxed{\boxed{\bold{20m-30}}}[/tex]

And yeah, we can't simplify this expression, because 20m and -30 are not like terms.

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

Hello there! Your question is missing some important information to solve.  I will solve the equation by simplifying the expression. =)

Answer:

[tex]20m-40[/tex]

Step-by-step explanation:

Given the expression:

[tex]5(4m-6)-10[/tex]

You can simplify it as follows:

1. Apply the Distributive Property multiplying each term inside the parentheses by the number 5 outside:

[tex]=(5)~(4m)-(5)~(6)-10[/tex]

[tex]=20m-30-10[/tex]

2. Add the like terms (remember that like terms have the same variables with the same exponents):

[tex]=20m-40[/tex]

Hence, the answer is [tex]20m-40[/tex]

A circle labeled Internal Medicine Doctors. It is connected to 4 other circles. Circle 1 is labeled Veterinarians. Circle 2 is labeled Epidemiologists. Circle 3 is labeled Virologists. Circle 4 is labeled Food Investigators. This web diagram presents different types of internal medicine doctors. Why is a web diagram a good choice for illustrating this information? A web diagram allows pictures to help with understanding. A web diagram shows what connects these different types of doctors. A web diagram compares and contrasts the doctors best. A web diagram looks best on the page.

Answers

Answer:

B

Step-by-step explanation:

I got it right on the assignment

Hope this helps :)

Answer:

B. A web diagram shows what connects these different types of doctors.

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

(4,10)

Step-by-step explanation:

If its reflected over the x axis it goes from -4,-10 to 4,10

In 1983, a microwave oven cost $78. 75. Today, a microwave oven costs $92. 66. If the CPI is 177, what is the relation of the actual price of a microwave oven to the expected price, to the nearest cent? a. The actual price is $46. 73 lower than the expected price. B. The actual price is $5. 59 lower than the expected price. C. The actual price is $13. 91 higher than the expected price. D. The actual price is $71. 35 higher than the expected price.

Answers

The actual price is $46.73 lower than the expected price.

What is the Formula for Consumer Price Index?

[tex]CPI_t=\frac{C_t}{C_0} * 100[/tex]

CPI=consumer price index in the current period

Ct= expected cost in current period

C₀ =cost in the base period

It is given that

Price in base period ie 1983 C₀= $78.75

The actual cost of the microwave oven = $92.66

Consumer Price Index= 177

So, expected price of microwave oven in the current period

Ct= CPIt * C₀ /100 = 177*78.75/100 = $139.39

Difference between the actual price and expected price = 139.39-92.66=$46.73

Therefore, The actual price is $46.73 lower than the expected price.

To get more about CPI visit:

https://brainly.com/question/5992428

WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!

Find the value of tan C rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

i dont understand the last one can anyone help

Answers

Answer:

the spaces between the bars are not equal.

Answer:

the spaces between the bars are not equal

Step-by-step explanation:

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