Which polar coordinates represent the same point as the rectangular coordinates (-4,5)?

Which Polar Coordinates Represent The Same Point As The Rectangular Coordinates (-4,5)?

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r = [tex]\sqrt{x^2+y^2}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{y}{x}[/tex] )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = [tex]\sqrt{(-4)^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex]

θ = [tex]tan^{-1}[/tex] ([tex]\frac{5}{4}[/tex] ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → ([tex]\sqrt{41}[/tex], 128.7° ) in polar form


Related Questions

hi help pls doing all my late work last minute so i don’t fail

Answers

Given:

The compound inequality is:

[tex]-1>n\geq 5[/tex]

To find:

The reason for no solution of the given inequality.

Solution:

We have,

[tex]-1>n\geq 5[/tex]

This inequality can be written as two separate inequalities.

[tex]-1>n[/tex] and [tex]n\geq 5[/tex]

The inequality [tex]-1>n[/tex] represents all real values less than -1.

The inequality [tex]n\geq 5[/tex] represents all real values greater than or equal to 5.

Both inequalities [tex]-1>n[/tex] and [tex]n\geq 5[/tex] have no common values. Therefore, the given inequality has no solution. Hence proved.

PLS HELP ASAP DUE TMR TY

Answers

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex](2a) = 8[/tex]

[tex]a = \frac{8}{2} [/tex]

[tex]a = 4[/tex]

Hope it is helpful.....

Answer this and I will brainliest

Answers

C is the answer have a good one

the system of equations kx-5y = 2, 6x+2y = 7 has no solution, then k =

(a) -10 (b) -5 (c) -6 (d) -15​

Answers

Answer:

(d) -15

Step-by-step explanation:

Given system of equations are:

[tex] \begin{cases}kx-5y=2\\\\6x+2y=7\end{cases}[/tex]

Since, given system of equations have no solution.

[tex] \therefore \frac{k}{6}=\frac{-5}{2} \neq\frac{2}{7}[/tex]

[tex] \implies \frac{k}{6}=\frac{-5}{2} [/tex]

[tex] \implies k=\frac{6(-5)}{2} [/tex]

[tex] \implies k=\frac{-30}{2} [/tex]

[tex] \implies k=-15[/tex]

I NEED HELP PLS i don’t understand exactly how to do this :/

Answers

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

PLEASE HELP ME ACE THIS

angle a = ___ degrees

Answers

Angle B = ADC arc / 2

32 = ADC arc / 2

ADC arc = 2 × 32

ADC arc = 64

_________________________________

ADC arc + ABC arc = 360

64 + ABC arc = 360

ABC arc = 360 - 60 - 4

ABC arc = 300 - 4

ABC arc = 296

_________________________________

Angle D = ABC arc / 2

x = 296 / 2

x = 148

_________________________________

Angle A = x - 40

Angle A = 148 - 40

Angle A = 108 degrees

Mr. and Mrs. Steele, deposited $8,000 to open a college savings account for their granddaughter on the day she was born. The account pays 5% simple interest annually. If they made no other deposits or withdrawals since then, how much money would be in the account after 18 years?

Answers

Answer:

see my explantion!!

Step-by-step explanation:

8000*0.05=400

400*18=7200$

Solve for x helpppp pleaseee

Answers

Answer:

10

Step-by-step explanation:

360=95+95+15+7x+15+7x

360-95-95-15-15=7x+7x

140=14x

140/14=x

10=x

A fraction Equivalent 4/6 and has the denominator 3

Answers

Answer:

7

Step-by-step explanation:

Answer:

the answer is 2/3

hope this helps

have a good day :)

Step-by-step explanation:

we gots more babeyyy
I just need assistance, or put me in the right direction, something-
I've got till the end of the day, and this will determine my final grade
please help if you can​

Answers

5x + 16 = ( 2x + 14 ) + 32

...............................................

This the clue and the right direction

You got this

It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?

Answers

Answer:

8.07 inches

Step-by-step explanation:

7.29+0.78=8.07

Three friends take a road trip to Florida. They drive a total of 1,042 miles. Doug drives 400, Ben drives 342, and Chris drives 300. What percent did each one drive on the trip?
A. Doug 40.4%, Ben 33%, Chris 26.6%
B. Doug 38.4%, Ben 20.8%, Chris 40.8%
C. Doug 38.4%, Ben 32.8%, Chris 28.8%
D. Doug 41.1%, Ben 40.2%, Chris 18.7%

Answers

Answer:

C

Step-by-step explanation:

Doug:  400/1042 = .3838 = 38.4%

Ben:  342/1042 = .3282 = 32.8%

Chris:  300/1042 = .2879 = 28.8%

Answer:

Doug 38.4%, Ben 32.8%, Chris 28.8%

The mean of three numbers is 10. The mode is 8. What are the three numbers?

Answers

Answer:

8, 8, 14

Step-by-step explanation:

Since 8 is the mode, it will appear the most. As there are 3 numbers, 8 will be two of them, so there are 2 8s.

To find the total of the numbers, do the mean multiplied by the amount of numbers, which is 10 times 3, which equals 30.

To find the last number, minus the two numbers you already have from the total, so 30-8-8=14

So the three numbers are 8,8,14.

Hope this helps! :)

A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed on the line that tests the weight of the filled boxes and rejects any product outside the correct package weight. Historically, 90% of the product manufactured on this line is within the correct weight range. The sensor rejects boxes of incorrect weight 98% of the time. The sensor rejects boxes of correct weight 1% of the time. What is the probability that a correct weight box of cereal will get rejected by the sensor

Answers

Answer:

0.2%

Step-by-step explanation:

The given parameters are;

The percentage of product within the correct range = 95%

The percentage of the times the sensor reject boxes of incorrect weight = 98%

The percentage of the times the company reject boxes with correct weight = 1%

[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]

We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2

FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01

FPR = 0.2/(0.2 + 9.8) = 0.02

TPR = 89.1/(89.1 + 0.9) = 0.99

TNR = 9.8/(9.8 + 0.2) = 0.98

P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))

Where;

P(C/A) = The probability that a correct weight package is accepted

∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776

The probability that a correctly weighed package is rejected, P(C/R), is given as follows;

P(C/R) = 1 - P(C/A)

∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%

The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%

Answer:0.9%

Step-by-step explanation:

good luck!!!


HELP WILL GIVE BRAINLY PLZ DONT SKIP

Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly
chosen student took Form B and did not pass? Show ur work/explain in words what you did
A. 0.055
B 0.195
C. 0.305
D. 0.390

Answers

Answer:

C. 0.305

Step-by-step explanation:

100 - 39 = 61

.5 x .61 = .305

30.5%

On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.

Answers

The mean of the test that has a normal distribution is 55.

What is the mean of the test?

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

Learn more about normal distribution here: https://brainly.com/question/29509087

#SPJ1

What is the ratio for cos B

Answers

Answer:

cos B = 8/17

Step-by-step explanation:

The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.

Question 17 *
There are 24 girls in a class. The ratio of girls to boys is 3 : 8.
How many boys are in the class?​

Answers

There are 64 boys in the class because 24/3=8 and you have to do the same thing so 8 times 8= 64

Thank for doing l love u

Answers

i think the answer for the first 2 questions are 12 and 28

good job guys ik math is hard sometimes

HELP PLEASE I NEED HELP

Answers

[tex]C. \: 8 \sqrt{3} [/tex]✅

Step-by-step explanation:

[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

find the measure of the angle with the ?. no links​

Answers

Answer:

D) 146

Step-by-step explanation:

Exterior angle thm:

42 + 104 = x

x = 146

I NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:

Guys l forgot how to do this l knew how to buy can someone please remind me what to do asap pleasee

Answers

the image is all black. cant see anything lol

Find mMLK. 272 °. please and thank you!!

Answers

Answer:acute angle less than ninety so around fourth five

Step-by-step explanation:

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

Its D because the x axis can repeat itself

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.

Answer:

D, the last one

Step-by-step explanation:

A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.

pleaseeeee help meeeee i will mark you brainlesttttttttttttttttttttttt

Answers

Answer:

First you would see the picture and you would count how many people had less than 20 which is 18

brainliest

Step-by-step explanation:

What is the measure of angle R?
110°
140°
125°
70°

Answers

70
Hope this helps :D

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

805

Step-by-step explanation:

The answer is V≈201.06in³

During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.

Answers

let be the real price x :

x - x × ( 25/100 ) = 1350

x - x × ( 1/4 ) = 1350

x - x/4 = 1350

4x - x / 4 = 1350

3x / 4 = 1350

3x = 1350 × 4

3x = 5400

x = 5400 ÷ 3

x = Rs 1800

Simplify each expression

Answers

hope this helps you

Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

Other Questions
Which function will give the average of values in the second column of a database named Earnings that meets the criteria listed in cells A2 through C4? A. =DAVERAGE(2,Earnings,A2:C4)B. =DAVERAGE(A2:C4,Earnings,2)C. =DAVERAGE(A2:C4,2,Earnings)D. =DAVERAGE(Earnings,2,A2:C4) In the following lines, what is Claudius confessing to? Why is this important for the audience to know? O, my offense is rank, it smells to heaven It hath the primal eldest curse upont. A brothers murder. What is the main idea of "Human Family? A barometer reads a height of 78 cmHg. Express this atmospheric pressure to:a. in Hgb. psi ( lbs/in2)c. Pascal (Pa) Which object from the excerpt is used to symbolize death? the casket the loft the owls the stream Tom and Sophie travel from home to school and back once a day. How many kilometres more does Sophie travel in 5days than Tom? Move a number to each box to create an equation to solve 8/100 + 9/10 A line representing Car B would have a parallel slope if: _____nerves are responsible for carrying messages from the brainand spinal cord to other parts of the body and causes muscles to move.A SkeletalB SensoryC MotorD Axial Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos a que profundidad se encuentra a la hora de haber comenzado el ascenso?cuanto tiempo le faltara para llegar a la superficie? what fraction is bigger? 11/20 or 2/5 To melt the ice during the winter season, road crews often put sand and salt solutions on the roadways to help melt the snow and ice. The plants that live close to the road often die or wilt after this procedure. Using your knowledge of osmosis and plant structures, which type of solution would cause this to happen to plant cells? Group of answer choices 50 POINTS CORRECT ANSWERS ONLY Write a 3 paragraph essay comparing and contrasting vertebrates and invertebrates. In your essay include different organisms that would be found in each as well as examples and characteristics of the phylum. Nom Chanel ISO acclasse Pericas Date S-27-21 VOCABULAIRE 1 CHAPITRE 7 4 Remets cette conversation entre la vendeuse (saleswoman) et la cliente dans le bon ordre. 1 Non. Il ne porte jamais de cravate. Bonjour, mademoiselle. Je peux vous aider? Il est joli, ce pull. Vous l'avez en 40? C'est combien le pull? Bien sr, mademoiselle. Qu'est-ce que vous pensez de ce pull en laine noir? Oui, je cherche quelque chose pour mon grand-pre. Oui, c'est parfait! Je le prends. Une cravate peut-tre (maybe)? [11] C'est 80 euros. Vous aimez? et le tissu (fabric) des Why don't you want drugs to be a part of your life? You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.A. 18.3 yearsB. 45.1 yearsC. 27.6 yearsD. 8.0 years Forma sintagmas verbales a partir de los siguientes verbos. (No escribas los sujetos.)a) serb) parecersec) lloverd) servire) crecerf) parecerg) regalarh) gustari) doler Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can? b. Apple juice expands when it freezes the can is filled to 95 % of its volume. What is the volume of the apple juice in the can. What is the purpose of the lines that are underlined?O These are answers to topic questions, and theparagraphs after them explain the answers.O These are summary points so that the reader couldjust read these lines and understand the passage.O These are conclusions that summarize all of theinformation in the paragraphs before them.O These are headings that give titles to the topics beingdiscussed in the paragraphs after them. PLEASE HELP ME WITH BOTH OF THESE PROBLEMS THIS IS DUE SOON PLEASE HELP ME