(0,7): Use the equation r^2=x^2+y^2 to find the radius of this point.
Part II: Use the fact tan theta = y/x , x not equal to zeroto find the angle for this point.
Combine your answers to write the polar coordinates of this point.

Answers

Answer 1

Answer:  [tex](7,\frac{\pi}{2})[/tex]

Step-by-step explanation:

Given

The equation of the circle is [tex]x^2+y^2=r^2[/tex]

Point [tex](0,7)[/tex] lies on the circle

Put the value

[tex]\Rightarrow 0^2+7^2=r^2\\\Rightarrow r=7\ \text{units}[/tex]

for this point, the angle is given by

[tex]\Rightarrow \tan \theta=\dfrac{y}{x}\\\\\Rightarrow \tan \theta=\dfrac{7}{0}\rightarrow \infty[/tex]

That is [tex]\theta \rightarrow 90^{\circ}[/tex]

The polar coordinate is given by [tex](r,\theta)[/tex]

[tex]\therefore\ (7,90^{\circ})\ \text{or}\ (7,\frac{\pi}{2})[/tex]


Related Questions

NEED HELP QUICK PLEASE HELP

Answers

Answer:135

Step-by-step explanation:

[tex]area \: = {135}cm^{2} [/tex]

Step-by-step explanation:

[tex] \: from \: the \: diagram \: we \: have \: 3\: retangles \: \\ [/tex]

area of rectangle = L×B 1 rectangle = 3×2=6

2 rectangular = 4×2 =8

3 rectangle = (13-2) × (7+4)

= 11×11 =121

total area = 6+8+121=135

What expression is equivalent to 3/5

Answers

Answer:

9/15

Step-by-step explanation:

Please help I really need now

Answers

a 713

498

215

hope it will help

The required missing values are 6, 0, and -5 respectively in the sum (a).

The required missing values are 4, 11, and -4 respectively in the sum (b).

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Let the missing terms x, y and y in the given sum,

_  x , 1 , 3

   4 , y , 8

_________

   2   1    z

As per the fundamental algebra,

x - 4 = 2 | 1 - y = 1 | 3 - 8 = z

x = 2 + 4 | y = 1 - 1 | z = -5

x = 6| y = 0 | z = -5

Let the missing terms a, b, and c in the given sum,

_  7 , b , 5

   a , 3 , 9

_________

   3   8    c

As per the fundamental algebra,

7 - a = 3 | b - 3 = 8 | 5 -9 = c

a = 7 - 3 | b = 8 + 3 | c = 5 - 9

a = 4 | b = 11 | c = -4

Thus, the required missing values are 6, 0, and -5 respectively in the sum (a). The required missing values are 4, 11, and -4 respectively in the sum (b).

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

I need help with this!



Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.

The baby was growing fastest in the first 3 months.

__

13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.

The second attachment shows a graph of the distance versus time.

_____

I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)

PLEASE HELP ASAP! Identify the shape that can be formed using the following net.

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The only answer choice with 2 triangular faces and 3 rectangular faces is A, the triangular prism.

Answer:

A

Step-by-step explanation:


In the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the

Answers

Answer:

Step-by-step explanation:

A

For the considered case, the weight 6 pound 1 ounce will be taken as : Option C: Lower quartile.

What are quartiles?

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, second quartile (also called median) is approximately in mid of the data.

Third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in assumption that data was arranged increasingly from left to right

For this case, it is said that 25% of the class weighted less than 6 pounds 1 ounce. That means it is first quartile or say lower quartile.

Thus, for the considered case, the weight 6 pound 1 ounce will be taken as : Option C: Lower quartile.

Learn more about quartiles here:

https://brainly.com/question/9260741

moby max help help help help

Answers

the answer should be 23/20 or 1 3/20
1/16 that should be the answer I’m not sure just add everything up

A random sample of 8 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars:
249 349 299 249 149 135
199169
Assume the population standard deviation is alpha = 85.
If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013.

Answers

Answer:

The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]

Confidence interval:

We have the standard deviation for the population, so the z-distribution is used.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39

The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11

The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11

WHICH HAT HELP THANK YOU WHICH HAT HELP THANK YOU

Answers

Answer:

They're both cool but I personally like the first one better lol

Blue mane 100% no.....

What is the perimeter of this tile? inz 10 in. 8 in. 6 in.​

Answers

Answer:

24 in

Step-by-step explanation:

Perimeter is the sum of all side lengths

10 in + 6 in + 8 in = 24 in

24 in is the perimeter

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

write the log equation as an exponential equation

Answers

Answer:

[tex] \displaystyle {9}^{2x - 1} = 2[/tex]

Step-by-step explanation:

we are given a logarithmic equation

[tex] \displaystyle \log_{9}(2) = 2x - 1[/tex]

we want to rewrite it as exponential equation

remember that,

[tex] \displaystyle\log_{a}(b) = c \iff {a}^{c} = b[/tex]

here our a is 9,b is 2 and c is 2x-1

altogether

our exponential equation is

[tex] \displaystyle {9}^{2x - 1} = 2[/tex]

and we're done!

1
What is the measure of A?

Answers

The measure of A is: 78°

John made a kite with all four sides the same length, as shown below. What is the perimeter of the kite?

Answers

Answer:

There's no images attached


Convert the following equation into
slope-intercept form.
x + y = -1
y = [? ]x+[ ]
Enter

Answers

Y=[-]X+[-1]

I think this is the correct answer

What are the new vertices of quadrilateral ABCD if the quadrilateral is reflected across the x-axis?
Question 12 options:

A)

A′ = (–5,–4), B′ = (–5,2), C′ = (–1,5), D′ = (–1,–2)

B)

A′ = (–4,–5), B′ = (2,–5), C′ = (5,–1), D′ = (–2,–1)

C)

A′ = (4,5), B′ = (–2,5), C′ = (–5,1), D′ = (2,1)

D)

A′ = (4,–5), B′ = (–2,–5), C′ = (–5,–1), D′ = (2,–1)

Answers

Answer:

C.

Step-by-step explanation:

1. In order to draw a straight vertical line segment that is 4 units long, which point must be connected to (1, 2)?
A. (7,2)
B) (5,2)
C. (2,7)
D. (1,6)

Answers

Answer:

D. (1,6)

Step-by-step explanation:

Vertical line segment:

A vertical line segment has fixed x coordinate.

In this question:

Vertical line segment that is 4 units long and is connected to (1,2).

The x-coordinate is x = 1.

The y-coordinate can be y = 2 - 4 = -2 or y = 2 + 4 = 6.

(1,6) is one of the options, so the correct answer is given by option D.

What is the area of the polygon below?



Answers

Answer:

area = 24 units squared

Step-by-step explanation:

area = 1/2 (base 1 + base 2) x height

area = 1/2 (4 + 8) x 4

area = 1/2 (12) x 4

area = 6 x 4

area = 24

24 is the correct answer

A wedding website states that the average cost of a wedding is $25,809. One concerned bride hopes that the average is less than reported. To see if her hope is correct, she surveys 46 recently married couples and finds that the average cost of weddings in the sample was $24,638. Assuming that the population standard deviation is $5531, is there sufficient evidence to support the bride’s hope at the 0.10 level of significance?
Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: μ=25,809: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯25,809
Step 2 of 3 : Find the test statistic
Step 3 of 3 : What is the conclusion?

Answers

Answer:

1)

Null hypothesis            H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

2) Test Statistic = -1.44

3) Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

Step-by-step explanation:

Given the data in the question;

Sample mean x" = 24,638

sample size n = 46

standard deviation σ = 5531

level of significance ∝ = 0.10

NULL and ALTERNATIVE HYPOTHESIS

Null hypothesis            H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

TEST STATISTICS

Z = (x"-μ) / σ√n

we substitute

Z = (24,638 - 25,809) / (5531/√46)

Z = -1171 / 815.5

Z = -1.44

Test Statistic = -1.44

Now, from normal z-table;

P-value = P( Z < -1.44 ) = 0.0749

P-value = 0.0749

Since P-value ( 0.0749 ) is less than level of significance ( 0.10 ), we reject H₀.

Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

James bought a cabinet for $438.00. The finance charge was $49 and she paid for it over 18 months.

Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed

to calculate her approximate APR.

Round the answer to the nearest tenth.

1.6%

1.7%

7.4%

7.5%

Answers

Answer:

7.5

Step-by-step explanation:

As the earth revolves around the sun, it travels at a speed of approximately 18 miles per second. Convert this speed to kilometers per second. At this speed, how many kilometers will the earth travel in 2 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answer.

Answers

Answer:

i dont know have an amazing day

Step-by-step explanation:

be kind ppl

Please could someone help me

Answers

Answer:

You have to multiply the number of miles by the amount of money per mile to figure out the cost of his journey.

Answer:

hope it will helpful to youuuuuuu

ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP​

Answers

Answer:

if I am wrong in any number please tell me but later because my mum if she finds me here I'll be in big trouble I have to go wash utensils I'll help you with the otherquestion later good day.

Answer: the person above me is correct

Step-by-step explanation:

Help Plis................

Answers

Answer:

B should be where C is, C is A, and A is B

A where B is, b where C is, and C where A is

Write the equation for the circle with center (2, 4) and radius 7 in standard form

Answers

Answer:

Step-by-step explanation:

Let's get the equation first and then look at the circle when it has been graphed.

(x - 2)^2 + (y - 4)^2 = 7^2

(x - 2)^2 + (y - 4)^2 = 49

You will notice that the center of the circle has been marked and it is at (2,4) just as the question required.Another point has been added. It is at (2,11).It is the radius of the circle11 - 4 = 7 which is the radius that has been requested

What is the area?
6 mi
4 mi
square miles

Answers

Answer:

12 sq mi

Step-by-step explanation:

base times height divided by 2

Answer:

12

Step-by-step explanation:

Formula for area of a triangle = length X width ÷ 2

so the equation would be (6 X 4) ÷ 2

which equals (24) ÷ 2

which is 12.

So the answer is 12

The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?

Answers

Answer:

197 adult tickets and 354 child tickets were sold for the event.

Step-by-step explanation:

Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:

22 - 14 = 8

551 x 14 = 7.714

9,290 - 7,714 = 1,576

1,576 / 8 = 197

551 - 197 = 354

197 x 22 + 354 x 14 = X

4.334 + 4.956 = X

Therefore, 197 adult tickets and 354 child tickets were sold for the event.

calcular el número de lados de aquel poligono cuyo número de diagonales.

Answers

el numero de lados es 9

5. Solve the following system using Gauss-Jordan Elimination. Indicate all row
operations and show all steps.
3x + 4y + 2z = 3
4x – 2y - 8z = -4
x + y - z= 3

Answers

Answer:

(-3,4,-2)

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

According to the eScience Lab Manual for Lab 1, Experiment 3, you need to prepare 65 ml of 60% soda/syrup prescription. To do this you can use the 80% soda solution and the syrup solution (0% strength) that you have in inventory. How many mls of soda solution do you need to create this final solution?

Answers

Answer:

16.25 mL

Step-by-step explanation:

Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;

Dilution equation is;

V₁C₁ = V₂C₂

Where;

V₁ is initial volume

C₁ is initial concentration or initial molarity

V₂ is final volume

C₂ is final concentration of final molarity

We are given;

C₁ = 80% = 0.8

C₂ = 60% = 0.6

V₂ = 65 mL

Making V₁ the subject in the dilution equation, we have;

V₁ = (V₂C₂)/C₁

V₁ = (65 × 0.6)/0.8

V₁ = 48.75 mL of inventory syrup

Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL

need help w/ this
can someone tell me the answer and explain it? will give out 25pts

Answers

Answer:

Step-by-step explanation:

bro this is easy work the answer is C

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