A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor

Answers

Answer 1

Answer:

[tex]x^2+y^2=36100000[/tex]

Step-by-step explanation:

Here it is mentioned that the there are two concentric circles this means that they have the same center.

The center of the circles are the origin [tex](0,0)[/tex].

Radius of the outer circle is

[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]

Equation of a circle

[tex](x-a)^2+(y-a)^2=r^2[/tex]

where

[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]

[tex]r=\text{Radius of the circle}[/tex]

Here the equation will be

[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]

The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]


Related Questions

WILL GIVE BRAINIEST, Factor the common factor out of each expression

Answers

Answer:

WHEN TEACHERS THINK THEIR STUDENTS ACTUALLY DID THE HOMEWORK -_-

Step-by-step explanation:

Answer:

1: there is no answer

2:C

3:B

4:A

Which expression is equivalent to Y.Y.Y.Z.Z.Z.Z?
O y 24
O 12xy
o (yz)
07xy
HURRYPLEASEEEE

Answers

A y exponent 3 z exponent 4.

I am even. The sum of my digits is sixteen. Who am I?

Answers

Answer:

2, 4, 6, 8, 10, 12, 14

Step-by-step explanation:

8+8=16

6+10=16

4+12=16

2+14=16

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2

Answers

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

what is 9 + 10 x2 x 8

Answers

Answer:

169

Step-by-step explanation:

9 + 10 × 2 × 8

9 + ( 10 × 2 × 8)

9 + (20×8)

9 + 160

169

Oak Grove and Salem are 78 km from
each other. How far apart would the cities
be on a map that has a scale of 1 cm: 13
km?

Answers

Answer:

690 km will take it.for good condition

Step-by-step explanation:

mark me BRAINLIEST

Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?

Answers

Answer:

640 tickets.

Step-by-step explanation:

8hours × 80 = 640

There are 640 tickets are sold in 8 hours.

What is Proportional?

The equality between two ratio is called Proportional.

Given that;

Number of hours for selling number of tickets.

Since, To check the relationship is proportional or not, we check the equality between two given ratio.

Hence, The ratio are;

Number of hours : Number of Tickets

= 3 : 240 : : 5 : 400

It can be solve as;

= 3/240 = 5/400

= 1/80 = 1/80

= 1:80 : : 1:80

Thus, The given relationship between the number of tickets sold and the number of hours is proportional.

Now, Let number of tickets in 8 hours = x

Then, By definition of proportional we get;

⇒ 3 : 240 :: 8 : x

Solve the proportional as;

⇒ 3/240 = 8/x

⇒ x = 8 × 80

⇒ x = 640

So, There are 640 tickets are sold in 8 hours.

Learn more about the proportional visit:

https://brainly.com/question/24802265

#SPJ2

The reciprocal of 3/17 is __?

Answers

Answer:

17/3 or 5 and 2/3

Step-by-step explanation:

All you have to do to find a reciprocal of a fraction is swap the numerator and denominator. If it is a whole number, then that number will be under 1.

what are factors of 7​

Answers

Answer:

1 and 7

Step-by-step explanation:

how do u solve this its pre-algebra 4x – 5y = 20

Answers

Answer:

x = 5 + 5y/4

Step-by-step explanation:

I think its like this: 4x - 5y = 20

Add 5y to both sides: 4x = 20 + 5y

Divide both sides by 4: x = 20/4 + 5y/4

Simplify: x = 5 + 5y/4

I'm pretty sure it is like this

Hope this helps!

Simplify the expression. (x4y2)1/2 A) 2(x4y2) B) x1/8y1/4 C) x2y D) x8y4 Please help!!!

Answers

Answer:

C. [tex]x^2y[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^2)^{\frac{1}{2} }\\[/tex]

Using the law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y[/tex]

Hence the correct answer is [tex]x^2y[/tex]

Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.

Answers

Answer:

I might be wrong but I think the answer Is 234!

I hope you do Great!!

Step-by-step explanation:

A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E={2, 3, 4, 5, 6, 7}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule.

Answers

Answer:

The answer is " [tex]\bold{\frac{2}{3}}[/tex]"

Step-by-step explanation:

Given set:

[tex]\to F \ or\ G = \{ 5,6,7,8,9,10,11,12\}[/tex]

In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:

[tex]\to P( F\ or \ G) = \frac{8}{12}[/tex]

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

by using the general addition Rule:

[tex]\to P(F \cup G) = P(F) +P(G)- P(F \cap G)[/tex]

                    [tex]=\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\[/tex]

American Black Ducks migrate a great distance every year. A typical bird will travel 2,739 miles in 33 days. Which of the following best represents this trip with a constant unit rate of travel? 7.4A

Answers

Answer:

Rate of travel = 83 miles per day

Step-by-step explanation:

Given:

Total distance = 2,739

Number of days = 33 days

Find:

Rate of travel

Computation:

Rate of travel = Total distance / Number of days

Rate of travel = 2,739 / 33

Rate of travel = 83 miles per day

True or false: 8.9 x 10-7 = 0.000 008 9.

Answers

It is False 8.9x10-7 does not equal 0.00000089

Identify the quadrant in which each point is located.
A (5,1.75)
B(-5,-8)
C(2,3)
D (2,-3.5)
E (-4.5,3.75)

Answers

A) Quadrant 1

B) Quadrant 3

C) Quadrant 1

D) Quadrant 4

E) Quadrant 2

Indicate the answer choice that best completes the statement or answers the question
Find the sale price to the nearest cent.
564 video game 25% discount
2510
b543
55
do

Answers

64 x .25 = 16.00
64 - 16 = 48
$48 is the sale price of the video game

What is the difference between 71.27 and38.86?

Answers

Answer:

32.41

Step-by-step explanation:

72.21 - 38.86 = ?

32.41

Hope this helps! <3

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

7 1 . 2 7

_- 3 8 . 8 6___

3 2 . 4 1

---> 32.41

Hope it helps you,

mark me as the brainliest.....

Follow me.......

600 feet per hour. What is his
speed miles
in
per hour?

Answers

Answer:hi

Step-by-step explanation:

Given the linear function f (x) = 4x - 2 identify the following;

Slope

Y intercept (let x = 0)

X intercept (let y = 0)

Is the function increasing or decreasing?

Answers

Answer:

slope: m = 4

y intercept:  (0, -2)

x intercept: (1/2,0) the 1/2 is one half

the function is increasing

3/15 divided by 5/6

7 divided by 1/6

2 1/5 divided by 1 1/3

2 1/7 divided by 3/28

Answers

Answer:

0.2400000096

1.16666666667

1.92307692308

0.02551020238

Step-by-step explanation:

hope this helps :)

3/15 divided by 5/6: 6/25

7 divided by 1/6: 21/50

2 1/5 divided by 1 1/3: 21/50

2 1/7 divided by 3/28: 20

Hope this helps!

The polynomial function for this graph is of (odd,even, abnormal)
degree and the leading coefficient is (positive,negative,zero)

Answers

Answer:

first graph: The polynomial function for this graph is of ✔ odd  degree and the leading coefficient is ✔ negative.

second graph: The polynomial function for this graph is of  ✔ even  degree and the leading coefficient is  ✔ negative.  

Step-by-step explanation:

hope this helped

The polynomial function for this graph is of odd degree and the leading coefficient is negative.The polynomial function for this graph is of even degree and the leading coefficient is negative.  

What is Even and Odd function?

When the output value of a real-valued function, f(x), is equal to f(-x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

Given:

As, we know the first graph graph of an odd function is at the same distance from the origin but in opposite directions and, graph of an even function remains the same after reflection about the y-axis.

So, The polynomial function for this graph is of odd degree and the leading coefficient is negative.

and, The polynomial function for this graph is of even degree and the leading coefficient is negative.  

Learn more about Odd and Even Function here:

https://brainly.com/question/16297926

#SPJ5

What is y+1 = 4(x - 1) in slope-intercept form?

A. y+ 1 = 4x - 4
B. -4x+y=5
C. y = 4x-5
D. 4x- y=-5

Answers

would be y=4x-5

steps are

multiply 4 by everything in parentheses

y + 1 = 4x - 4

subtract 1 from both sides

y = 4x -5

Answer:

C. y = 4x-5

Step-by-step explanation:

Slope-intercept form : y=mx+b

[tex]y+1 = 4(x - 1)[/tex]

Expand :

[tex]4(x-1) =4x -4\\\\y+1 =4x-4[/tex]

Collect like terms and simplify

[tex]y=4x -4-1\\\\y=4x -5[/tex]

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.

Answers

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm.



To the nearest tenth, what is the base length of the candle?
A. 5.9 cm
B. 9.6 cm
C. 12.5 cm
D. 19.2 cm

Answers

Answer:

it is 5.9 A

Step-by-step explanation:

Answer:

The answer is C) 12.5

Step-by-step explanation:

I took the test :)

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.

Answers

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

1. Using the geometry tools below, construct a copy of the line segment AB below.

2. Using the geometry tools below, construct a equilateral triangle with side length CD.​

Answers

Answer:

1.) use a compass

2.) also use a compass

Step-by-step explanation:

The PDF will show you for number two

brainlist ppls

Answer:

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

Solve. 5(x-3)+11=4(x+2)

Answers

Answer:

12

Step-by-step explanation:

[tex]5(x - 3) + 11 = 4(x + 2) \\or \: 5x - 15 + 11 = 4x + 8 \\ or \: x = 12[/tex]

Are Figures A and B congruent? Explain your reasoning.
Figure A
Figure B
HELP MA FRIENDS

Answers

Answer:

no

Step-by-step explanation:

because figure a takes up about 4 squares while figure b takes up about 8 squares

All I need is the slope and the equation also the y-intercept to help please!

Answers

Answer:

1) Slope; -10

Y-intercept; (0,60)

Equation; y=−10x+60

2) Slope;-1/2

Y-intercept; (0,0)

Equation; y=−1/2x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

1.)

slope: -10

y-intercept: 60

equation: [tex]y=-10x+60[/tex]

2.)

slope: [tex]-\frac{1}{2}[/tex]

y-intercept: 0 (the line passes through the origin)

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

Explanation:

To find your slope you can use the equation [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], plugging in the designated numbers from two ordered pairs you select from the chart.

Your y-intercept is the value found at y whenever x is equal to 0.

For your equation, you simply place your slope in front of x and add on your y-intercept.

Other Questions
Movie tickets for an adult and 3 children cost 20 dollars. An adult ticket cost 2 dollars more than a child's ticket. 1.Write and equation Diego hypothesizes that the Earth wobbles on its axis in a pattern that is repeated every 20,000 years.Which of the following ways would be the best way to test Diego's hypothesis? A. conduct a controlled experiment B. make observations in nature C. observe the movement of other planets D. make a model 100 points to complete q, it's a short essay... u can choose which task to do... 9. Why are the VA House of Burgesses, the Mayflower Compact, and the FundamentalOrders of CT each significant to government in the US today? f(x)=2(x-5)^{2}-8graph equationfind vertex, root, and y-intercept QuestionAn amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for thisloan is below. Payments of $1,530.73 are made monthly.Payment #12Payment Interest1,530.73 966.671, 530.73964.791.530.73 962.90Debt Payment564.06565.94567.83Balance289, 435.94288, 870.00288, 302.1734X5Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commasor the dollar sign in your answer.Provide your answer below: is this correct? this is health!! Help please!!! Ty to anyone who answeres A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?A. 36/9 yardsB. 37/9 yardsC. 35/9 yardsD. 38/9 yards somebody help please, and give the steps so I can learn how to solve it myself What is favorite Netflix tv show? Have you ever seen Supernatural? What is your favorite character in Supernatural? What is you favorite movie? What is your favorite Disney movie? Do you prefer DC or Marvel? What is your favorite superhero movie? Please do it about yourself.Will give brainliest!!!! ASAP!!!! Find the missing side using the pythagorean theorem.9 in12 inx = Summary for this paragraphTheres no doubt about it: young people love video games. A 2008 Pew Internet & American Life study reported that 97% of Americans ages 12 to 17 play video games. Thats a lot of people! But how might this gaming affect their physical health? Which of these molecules is NOT a Protein molecule?KeratinHemoglobinLactaseEstrogenrch Describe two specialized areas of geology. 3/4 divided by 2?????? But warfare for the Kiowas was preeminently a matter of disposition rather than of survival, and they never understood the grim, unrelenting advance of the U.S. Cavalry. The language in this sentence suggests that the author wants to Highlight the fact that the strategy of the U.S. Cavalry was too advanced for the Kiowas show that the wartime goals of the U.S. Cavalry and the Kiowas were fundamentally different suggest that the U.S. Cavalry was in better fighting condition than the Kiowas imply that the U.S. Cavalry was more willing to fight to the death than were the Kiowas Which equation has the solution n = 11? 7n - 8 = 628n + 6 = 102 3n + 12 = 45 5n - 20 = 25URGENT!!! help will do brainliest uwu I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number? help me please i need help!!!!!!!!!!!!!!!!!!!!!!