convert the rectangular coordinates (3,4) into polar coordinates ​

Answers

Answer 1

Answer:

(5,53°) or (5,53.13010235°) if you want an exact value.

Step-by-step explanation:

Polar coordinate is in [tex]\displaystyle{(r,\theta)}[/tex] form and rectangular coordinate is in [tex]\displaystyle{(x,y)}[/tex] form.

To convert from rectangular coordinate to polar coordinate, you’ll have to know that:

[tex]\displaystyle{x=r\cos \theta}\\\displaystyle{y=r\sin \theta}[/tex]

Above is crucial when it comes to converting from rectangular coordinate to polar coordinate, or other way around. The thing is to convert from rectangular to polar, you’ll also have to know radius too which you can find by:

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

We know that x = 3 and y = 4, substitute in the formula:

[tex]\displaystyle{r=\sqrt{3^2+4^2}}\\\\\displaystyle{r=\sqrt{9+16}}\\\\\displaystyle{r=\sqrt{25}}\\\\\displaystyle{r=5}[/tex]

We know that radius is 5. We will have to find the theta next, first substitute in the conversion:

[tex]\displaystyle{3=5\cos \theta}\\\displaystyle{4=5\sin \theta}[/tex]

Since this can generally be found through calculator as it’s not a part of special triangle - can be found using hand method - The approximation of both theta’s values are 53°.

Hence, the polar coordinate is (5,53°) or (5,53.13010235°) if you want an exact value.


Related Questions

3/20 3/10 1/10 1/5 1/4
Least To greatest

Answers

Answer:

1/10,  3/20,  1/5,  1/4,  3/10

Step-by-step explanation:

its least to greatest

Answer: Order from Least to Greatest

1/10 < 3/20 < 1/5 < 1/4 < 3/10

Step-by-step explanation:

Evaluate (find the output or y value of) the following function for x=5.
y=3x2-8

Answers

The answer for y is y= -2

2. Gerald was given the following problem to solve for the length of the “?”. He has made a mistake in his work. Identify and describe how he made his mistake. Then, solve the problem correctly.

Answers

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

19) Oranges are $2.50 per pound. Which equation shows the number of 'p
pounds you can buy if you have $20?*

Answers

the answer is 2.50p=20

the oranges are 2.50 per pound (2.50p) and you have a total of $20.

hope this helps :)

Pls help I need a good grade

Answers

Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Anna baked 3 batches of cookies with c cookies in each batch. She then ate 8 cookies!
How many cookies does Anna have left?

Answers

Answer:

3c - 8

ndkakskxjjzkaksks

PLZ HURRY IT'S URGENT!!!
Identify the zeros of the quadratic function.
x=1 and x= -3
x= -1 and x=3
y= -1 and y= -3
y= -1 and y=3

Answers

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Which answer is a solution for x if
x
4
= 21

Answers

Answer:

x = 5.25

Step-by-step explanation:

If I am understanding the question correctly, you are asking to find x when 4x=21? If this is the case, then all you must do is divide 21 by 4, then you get 5.25.

Answer:

Step-by-step explanation:

Henry spends $50.00 on lunch, $12.00 on a cap and spends $6.00 on bananas. Hicks spend $120.00 on clothes and $15 on a cap. Henry borrowed money from Hicks to buy his items. In other words, Hicks paid for Henry. Lucky for Hicks he had a discount coupon for 10% off his lunch. Hicks bank account has a balance of $225.
How much will the purchase cost him?

Answers

Answer: his lunch will cost him 45 dollar

Step-by-step explanation:

point U is on line segment TV . GIVEN TU= 4, UV = 5× AND TV = 3× 6 det
determine the numerical length of Tv​

Answers

Answer:

ejgsisysusyeusyegewt

Step-by-step explanation:

shgsjsysysgegiw

f(x) = x^2. What is g(x)?

Answers

the answer is “B”
g(x)= 3x^2

Gary can hike 2.5 miles in 30 minutes.At that rate, how long will it take him tohike the 8 miles to Chena Lake?

Answers

Answer:

96 minutes

Step-by-step explanation:

1. find the quotient of 8 and 2.5. Which is 3.2

2. then find the product of 30 and 3.2 to get 96 minutes.

math nation section 7

Answers

which question do you need help with?

Answer:

I don't understand the ques?

Step-by-step explanation:

The principal P is borrowed at simple interest rate r for a period of time t. Find the​ loan's future​ value, A, or the total amount due at time t. Round answer to the nearest cent.

p=900$, r=4%, t=9 months

Answers

Interest for t= $324

Find the slope of the graph shown
(Which one is it???)

Answers

Answer:

B

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ] and we can use the point (-1, 0) and (0, -1).

-1-0/0-(-1)

-1/1

-1

Best of Luck!

Which is an equation of the line that passes through the points (-6, 3) and (2, 7)?

Answers

Answer:

slope: 1/2

y: intercept: (0;6)

so B

The equation of the line is y = x/2 + 6 which passes through the points (-6, 3) and (2, 7) option (B) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line that passes through the points (-6, 3) and (2, 7)

The equation of the line:

y - 7 = (7 - 3)/(2 + 6)[x - 2]

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

y = (1/2)x - 1 + 7

y = x/2 + 6

Thus, the equation of the line is y = x/2 + 6 which passes through the points (-6, 3) and (2, 7) option (B) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

11. Alex puts $125 per month in a savings account.
At that rate, how much will he put into the
account over 18 months

Answers

Answer:

$2250

Step-by-step explanation:

All you have to do is multiply 125×18= 2250

125 x 18= 2,250. That is your answer.

Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the amount
Henry and Ella paid, including tax. Round your answer to the nearest cent.

Answers

Answer:

The different of the tax was 0.09 cents

Step-by-step explanation:

1. Find how much the tax was

Henry = (16/100) (9) = (0.16) (9) = $1.44

Ella = (17/100) (9) = (0.17) (9) = $1.53

2. Subtract the taxes

1.53 - 1.44 = 0.09 cent

What is 4/9 divided by 8/15

Answers

Answer:

the answer is 5/6

Step-by-step explanation:

Answer:

5/16

Step-by-step explanation:

Find the measure of angle 4

A. 51
B. 39
C. 90

Answers

Answer:

angle 4 is equalivent to B.) 39°

To make fruit salad, Maria bought 2 1/4 pounds of apples, and 1 1/3 pounds of peaches. How much fruit salad did this make? Make sure your answer is in simplest form.

Answers

Answer:

3 7/12

Step-by-step explanation:

3y>15 solve for y. Then graph

Answers

Answer:

Step-by-step explanation:

Answer:

Divide each term in

3

y

=

15

by

3

.

3

y

3

=

15

3

Cancel the common factor of

3

.

y

=

15

3

Divide

15

by

3

.

y

=

5

Step-by-step explanation:

Please help please help my friend needs this answerrrrrrrrrr

Answers

answer is 14

hope that helped

the answer is 14 :)))



Determine the missing side of a right triangle if one side
length is 15 and the hypotenuse measures 17 units.

Answers

Answer:

215 units

Step-by-step explanation:

I need help with number 8

Answers

Answer:

507.6 yd³

Step-by-step explanation:

54x9.4=507.6 yd³

A florist sells a dozen roses for $22.60. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total cost of the roses, Y. How much would 18 roses cost ?

please answer asap

Answers

Answer:

The cost of the roses are $53.10

Celebration! Hope this helps ^_^

Please I’ll do anything I’m begging

Answers

x=30°
Remember when it’s a 45° angle all sides are the same!! Hope this helped !!:)

HELP PLEASE WILL GIVE BRAINLIST

Answers

You multiply the radius by 2 and then multiply that by pi(3.14)so your answer would be 31.4
The answer is 31.4 hope it helps!!!

Can You be more specific

Answers

Answer:

What's the question you need help on?

How may I help you today?

asking for the equation

Answers

-7/5 + 3 hope this helps
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