What is the rectangular form of 17(cos(315°) + isin(315°))?

What Is The Rectangular Form Of 17(cos(315) + Isin(315))?

Answers

Answer 1

The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The rectangular form of 17(cos(315°) + isin(315°)).

We know that the value of cos 315° and sin 315°.

[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]

Then the value of the expression will be

⇒ 17[(1/√2) – (1/√2)i]

⇒ (17√2 / 2) – (17√2 / 2)i

Then the correct option is A.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda

Answers

Answer:

Step-by-step explanation:

Sea x la cantidad de litros de la mezcla al 86%

x× 86% + 11 × 71% = (x + 11) × 77%

0.86x + 7.81 = 0.77x + 8.47

How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!

Answers

Answer:2

Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.

Answer:

I got C. 2

Step-by-step explanation:

I finished the test ( :

Freddy tiene $250 en billetes de diez dólares. ¿Cuántos billetes de diez dólares tiene Freddy? Le dio 6 billetes de diez dólares a su hermano. ¿Cuántos billetes de diez dólares le quedan?

Answers

Answer:

-Freddy tiene 25 billetes de diez dólares.

-A Freddy le quedan 19 billetes de diez dólares.

Step-by-step explanation:

Para encontrar la cantidad de billetes de diez dólares que tiene Freddy, tienes que dividir la cantidad total que tiene entre diez:

250/10=25

Esto significa que Freddy tiene 25 billetes de diez dólares.

Para saber cuantos billetes le quedan a Freddy, tienes que restar los 6 billetes que le dio a su hermano del total de billetes que tenía:

25-6=19

De acuerdo a esto, a Freddy le quedan 19 billetes de diez dólares.

NEED HELP NEED HELP please if you know show me how you got the answer

Answers

Answer:

It says to Graph y = 1/2x - 4

So equation y = 1/2x - 4

this corresponds to slope intercept form which is y = mx + b

M = slope = rise / run

B =  y - intercept

First, start at the origin, (0,0)

Then go down 4, you should now be on the coordinate (0,4)

Now we need to use the slope.

The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)

So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.

Then do the opposite so that you can graph the other side.

Down 1 and 2 to the left.

Answer:

Graph Points (0.-4) and (8,0) and connect the dots into a line

Step-by-step explanation:

To graph y=1/2x-4 you will need to find the y and x-intercept. To find an intercept you have to substitute the x and y variables with 0 one at a time. I first substitute the x variable with an 0 and got the equation y=-4 so my y-intercept is (0.-4). Then I substituted the y variable with 0 and got 0=1/2x-4, I added 4 on each side to get rid of it and got 4=1/2x. I then multiplied both sides by 2 to get the x by itself and got 8=x so my x-intercept is (8,0). Whenever your graphing slope-intercept form equations just find the y and x-intercepts, graph them, connect the dots.

Hope this helps you

how to rewrite 11/12 in two different ways

Answers

Answer:

1) 33/36 = 11/12

2) 22/24 = 11/12

Step-by-step explanation:

Hope it helps you! Please give me Brainlest!

Step-by-step explanation:

As a decimal you divide 11 by 12 which is 0,916 (6 repeating)

now as a percent you multiply this decimal by 100 which is 91.6 (6 repeating)%

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal. Enter the correct answer. I'LL GIVE THE BRAINLIEST ​

Answers

Pick any two points on graph
(0,4), (1,6)
Find slope
(6-4)/(1-0) = 2/1 = 2

I need help with #18 & 20
Please explain so I understand

Answers

Isjsndjxksmnsjzksksms oaksmskxi haha

Alice rode her bicycle the same number of miles every day for 17 days. She
rode a total of 68 miles during these 17 days. At this rate, how many miles did
Alice ride her bicycle in 1 day?

Answers

Answer: 4

Step-by-step explanation:

Alice ride her bicycle in 1 day for a distance of 4 miles.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Alice rode her bicycle the same number of miles every day for 17 days.

Let x be the number of miles that Alice rode for 1 day.

She rode x miles for 17 days.

Total number of miles that she rode in 17 days = 68 miles

So, we have,

17x = 68

Dividing both sides by 17,

x = 4

Hence the number of miles Alice rode in 1 day is 4 miles.

Learn more about Division here :

https://brainly.com/question/28598725

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-11 = -4/3 y
Please answer the question...
What is the value of y?

Answers

Answer:

8.25

Step-by-step explanation:

-11 = (-4/3) y

(-11)/(4/3) =y

∴ y = 8.25

f(0) = -5, f(4) = -3

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line

how do i simplify 4^(n-2)+4^(n-1)+...+4^0​

Answers

add them all up or Mutiply and Divide all together I think

Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.

Answers

Answer:

a = 4√5

Step-by-step explanation:

Given

Trapezoid XYWZ

As given, sides XW and YZ are parallel and XY = WZ

Since it is isosceles, angles X and W are of same size

Therefore:

a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5

what is the range of f? ​

Answers

Answer:

[-4,5]

Step-by-step explanation:

you look on the starting point and the ending point of the y-axis ( you always start with the smallest value)

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

Answers

Answer:

y=2x + 5 I think it should be

Question is attached!​

Answers

Answer:

what are the answer

Step-by-step explanation:

The correct answer is X= 3!

You tape two pieces of paper together that each measure
41.36 cm. You then cut off 21.99 cm.
How long is the paper?

Answers

Answer:

The paper is 60.73 cm long.

Step-by-step explanation:

The two pieces of paper each measure 41.36 cm, so those together would be 82.72 cm. Subtracting the 21.99 that is cut off, you're left with 60.73 cm. Hope this helped!

^^^ they are 100 correct :)

(4,-3) and (-1,-9) The Distance Between the two points in simplest radical form

Answers

Answer:

(5,6)

Step-by-step explanation:

so first yall

u find the difference between 4 and -1 which is 5 so u go 5 spaces right so it would be 5

then u find the difference between -3 and -9 which is 6 so ud go 6 spaces down so the difference between emmmm is

(5,6)

Which of the following is equivalent to the fraction above? -(3/16)
A. 6/13
B. -13/6
C. -6/-13
D. -6/13

Answers

Answer:

c

Step-by-step explanation:

Answer:

D. -6/13

Step-by-step explanation:

i need help!!
5=x+29
Solving One-Step

Answers

Step-by-step explanation:

5=x+29

collect like terms

x=29-5

x=24

the answer is 24

hope this helps

Answer:

-24 is your ans.

Step-by-step explanation:

5=x+29

5-29=x

x= -24

Am I right vote you brainiest

Answers

Answer:

false

Step-by-step explanation:

Can someone help me? Giving 23 Points.

Answers

Answer:

Option 2 you welcome

explanation: I had this question a while back and I'm 100% sure that this is the right answer!

Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?

Answers

Answer:

a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.

Step-by-step explanation:

a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:

[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]

[tex]x = \frac{5}{6}\,L[/tex]

A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) En primer lugar calculamos la fracción correspondiente a cuatro personas:

[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]

[tex]x = \frac{5}{8}\,L[/tex]

Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:

[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]

[tex]\Delta x = \frac{40-30}{48} \,L[/tex]

[tex]\Delta x = \frac{10}{48}\,L[/tex]

[tex]\Delta x = \frac{5}{24}\,L[/tex]

Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.

p-1/4=5 1/4

(Change mixed number into a improper fraction first.)

PLZ HELLP WILL GIVE BRAINLY

Answers

5.500

p-1/4-(21/4)=0

Step by step solution :

STEP
1
:

21
Simplify ——
4
Equation at the end of step
1
:

1 21
(p - —) - —— = 0
4 4
STEP
2
:

1
Simplify —
4
Equation at the end of step
2
:

1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 4 as the denominator :

p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:

(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:

Pulling out like terms :

5.1 Pull out like factors :

4p - 22 = 2 • (2p - 11)

Equation at the end of step
5
:

2 • (2p - 11)
————————————— = 0
4
STEP
6
:

When a fraction equals zero :

6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
2 • (2p-11) = 0

Equations which are never true:

6.2 Solve : 2 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.3 Solve : 2p-11 = 0

Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500

Which number line models the solution set of -2x + 7 > 17?
Pls do 2 answers for good measures (and brainliest)

Answers

Answer:

-5

Step-by-step explanation:

-2x+7>17

-2x>17-7

-2x>10

Divide both sides by -2

-2x<10

-2 -2

x<-5

Note:when dividing with a negative the signs changes

Answer:

Step-by-step explanation:

- 2x + 7 > 17

- 2x > 17 - 7

- 2x > 10

x < 10 ÷ ( - 2 )

x < - 5

x ∈ ( - ∞ , - 5 )

Help me out fast please

Answers

Answer:

16

just subtract the sqaush by tomatoes

Answer:

0.5

Step-by-step explanation:

65.92÷32=2.06

49.92÷32=1.56

2.06-1.56=0.5

The measurement system used by most scientists and engineers known as the international System of
Units is represented by the two letters.

Answers

si or SI are the two letters that are used to represent the international system of measurement. Hope this helps!

Jose earns $60 a day. After a few days. Jose has $240. How many days has Jose worked?

Answers

Answer:

He has worked 4 days.

Step-by-step explanation:

240 divided by 60 is 4.

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

We can write this equation as 60d=b where the d represents the days he works. If he works 1 day we replace the d with a 1 and multiply 60 by 1. B would represent the balance he has after working d days. If we know he ha 240$ we can write the equation as
60d=240
We need to solve for d the number of days he worked and to do this we need to get d by itself
Divide 60 by both sides because in doing so, we will remove the 60 from d to get d alone
60d/60=240
***D=4***
Jose has worked 4 days

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

Answers

C

Image for proof, dude above got it first.

QUICK!!!!!

Analyze the conditional statement below and complete the instructions that follow.

If m is the midpoint of AB, then M divides AB into two congruent segments.

Identify the inverse of the converse of the conditional statement.

O If M is not the midpoint of AB, then M does not divide AB into two congruent segments.

If M is the midpoint of AB, then M divides AB into two congruent segments.

If M divides AB into two congruent segments, then M is the midpoint of AB.

Olf M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Answers

Answer:

D. If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Step-by-step explanation:

A conditional statement is one that include 'if'. Thus it is also referred to as an 'if' statement.

Given a conditional statement:

If M is the midpoint of AB, then M divides AB into two congruent segments.

The converse of the given statement is done by interchanging the two parts of it. So that we have:

If M divides AB into two congruent segments, then M is the midpoint of AB.

Then, the inverse can be obtained by getting the negative of both parts of the converse. Therefore, the inverse is:

If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

The correct option is D.

Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?

a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6

Answers

Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c

Step-by-step explanation:

Other Questions
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