An elliptical park is being built in your neighborhood. The park is 25 meters long and 40 meters across. If two swings are to be placed at the foci of the ellipse, how far from the center must the swings be located?

Answers

Answer 1
Lets say that the center is at (0,0)
The equation for an ellipse is 
x^2/a^2 + y^2/b^2 = 1

The equation will be x^2/40 + y^2/25 = 1
a^2 - b^2 = c^2
40 - 25 = 15
The foci is (sqrt(15,0) and (-sqrt(15),0)
Answer 2

Answer:the answer is 20

Step-by-step explanation:


Related Questions

8 cakes cost £4.00 how much do three cakes cost

Answers

Greetings!

We can solve this by creating an algebraic equation.
[tex]8/4=3/x[/tex]
Cross Multiply.
[tex]8*x=4*3[/tex]
[tex]8x=12[/tex]
Divide both sides by 8.
[tex](8x)/8=(12)/8[/tex]
The Answer Is:
[tex]x=1.5[/tex]

Three cakes would cost $1.50.

Hope this helps.
-Benjamin

She could tell of the Crows, who she had never seen, and of the Black Hills, where she had never been. I wanted to see in reality what she had seen more perfectly in the mind’s eye... Which tone is conveyed by the language in this excerpt? a sense of respect for Aho misgivings about the future spiritual longing for the past disinterest in the present

Answers

i believe it is

a sense of respect for Aho

because the main character wanted to be like "her", and you must have respect for somebody you want to be like

hope this helps

Answer:

A sense of respect for Aho.

Explanation:

In N. Scott Momaday's memoir "The Way To Rainy Mountain", he narrates how he embarked on rediscovering  his Kiowa heritage and the importance of preserving one's cultural background. Momaday uses a semi- autobiographical form of writing in providing the history and migration of the Kiowa people from their initial residence in Montana to Oklahoma.

In the given passage, the narrator is talking about his grandmother Aho who perfectly remembers the "Crows, who gave them the  culture and religion of the Plains". But she was never a part of those who traveled, but rather the stories told by her forefathers. Her ability to remember and preserve those memories as if she had personally experienced them impressed the narrator, who have a huge respect for her. Her memory of the "crows,.... and the Black Hills where she had never been" shows how she values the stories and tales of her own forefathers and the culture and heritage of the Kiowa people as a whole.

One number is two less than three times another. if their sum is decreased by one, the result is nine. find the numbers.

Answers

what are the options?

Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°.

If the ship can travel to either dock, which dock would be closest? Explain your answer.

A.) Michael’s dock would be closer because the angle opposite is smaller.

B.) Jacob’s dock would be closer because the angle opposite is smaller.

C.) Michael’s dock would be closer because the docks are 20 miles apart.

D.) Jacob’s dock would be closer because the docks are 20 miles apart.

Answers

actually its A) Michael's dock would be closer because the angle opposite is smaller . 
Final answer:

Based on the basic principles of trigonometry, the ship would be closer to Jacob's dock because the dock's angle is smaller.

Explanation:

The question is asking which dock, Michael's or Jacob's, would be closer to the ship based on angles given. In the world of mathematics and specifically trigonometry, larger angles in a triangle usually indicate longer sides opposite that angle. This is because the length of the side of a triangle is directly proportional to sine of its opposite angle.

In this case, the angle between the dock and the line connecting Michael and the ship is given as 48° which is larger than the angle for Jacob (37°). When applying the basic principles of trigonometry, this tells us that the distance from the ship to Michael's dock would be greater than the one to Jacob's. Therefore, the ship would be closer to Jacob's dock. So, the answer is B: Jacob's dock would be closer because the angle opposite is smaller.

Learn more about Trigonometry here:

https://brainly.com/question/31896723

#SPJ11

Why does dividing by a fraction make a number bigger?

Answers

Let's consider an example: 2/(1/2).

What does it mean to divide 2 by 1/2? What we're asking is, in essence, the inverse of a multiplication problem: 1/2 times what number gets us 2? Or, if we split 2 up into pieces 1/2 in size, how many pieces would make up the whole? Well, 1/2 + 1/2 + 1/2 + 1/2 = 2, which means we need four halves to make the whole (2). Similarly, if you divided 3 by 1/3, it would take 9 thirds to make three, so 3/(1/3) = 9.

It also helps to consider the fact that any number divided by 1 simply gives you back that number, and any number divided by a number greater than one produces a number less than the one you started with (i.e. 6/2 = 3, which is less than 6), so it would make sense if dividing by a number between 1 and 0 gave you back a number greater than the one you started with.

A number dividing by a proper fraction always make the number bigger.

What is Fraction?

Fractions are a kind of real numbers where we express a number as a part of a whole.

Fractions are of the form p/q, where p is called the numerator and q is called the denominator.

Algebraically speaking when a number is divided by a fraction, then actually the number is getting multiplied by it's reciprocal.

For example [tex]\frac{5}{1/2}[/tex] = 5 × [tex]\frac{2}{1}[/tex] = 10

That is a number when get divided by a proper fraction, operation is changed into the multiplication of the reciprocal.

In other words, we have to find that 5 is divided into how many equal 1/2

parts or 0.5 equal parts. Now, 1/2 part is actually the half part of 1.

Since 1/2 is half part of 1, 1 can be divided into 2 equal 1/2 parts.

We know that 5 when divided into equal 1 parts, we will get 5 parts.

So 5 can be divided into 5 × 2 = 10 equal 1/2 parts.

Hence, dividing by a fraction make a number bigger.

To learn more about Fractions, click :

https://brainly.com/question/10354322

#SPJ5

What is the inverse of the following statement? If at first you don’t succeed, try, try again. Select the best answer from the choices provided. If you try, try again, then you did not succeed at first. If at first you succeed, then do not try, try again. If you don’t try, try again, then you succeeded at first. Try, try again if at first you don’t succeed. NextReset

Answers

Try, try again if at first you don't succeed

Answer:

Try, Try again if at first you dont

exceed

Step-by-step explanation:

In the game Kazoo, teams lose one point each time they skip a turn. They earn one point each time their team guesses correctly. Maria's team skipped 888 turns. They guessed correctly 666 times.

Answers

first of all, what is the question? how many points does Maria's team have?
that would be -222 I'd guess... (+666 - 888 = - 222).

y=9x+4 is translated 4 units , what would be the equation on a graph?

Answers

I noticed that this equation is in slope-intercept form (y = mx + b). M =  the slope of the line, B = the y-intercept.

If the line is translated (fancy, fancy, talk for MOVED) up. The Y-intercept would change positive (because it is moved up) by four.

4 + 4 equals...well, 8.

Hope I could help you out! If my answer is incorrect, or I provided an answer you were not looking for, please let me know.
However, if my answer is explained well and correct, please consider marking my answer as Brainliest!  :)

Have a good one.

God bless!

A large adult elephant weighs 24,000 pounds. A baby elephant, on the other hand, weighs only 260 pounds. How much more does the adult elephant weigh?

Answers

24,000 - 260 = 23,740

23,740 + 260 = 24,000

The adult elephant weighs 23,740 more pounds than the baby elephant.

Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?
a.Thales
b.Pythagoras
c.Euclid
d.Archimedes
e.Hippocrates

Answers

That should be answer b, Pythagoras.

Extra information: 

Pythagoras has even constructed a famous theorem: Pythagoras' theorem; which is still used every day all over the world!

Answer:

The correct answer is Euclid.

Step-by-step explanation:

Euclid was a Greek mathematician, who is referred as the father of geometry and founder of geometry.

One of Euclid's most notable work, in the form of 'The Elements' has the strongest fundamental texts on geometry.

Apart from geometry, Euclid also developed many mathematical theories.

Consider the equation 2y−5x=30 . Determine the x-intercept
2 ⋅
−5x=30


−5x=30


=30

x=

Answers

Final answer:

The x-intercept for the equation 2y - 5x = 30 is found when y is set to zero and the equation is solved, resulting in the x-intercept being -6.

Explanation:

To find the x-intercept of a given equation, you need to set y equal to zero and solve for x. So, for the equation 2y - 5x = 30, you set y = 0 which leads to the adjusted equation of -5x = 30

To isolate x, you should divide both sides of the equation by -5, which gives x = -6. Therefore, the x-intercept of the equation 2y - 5x = 30 is -6.

Learn more about x-intercept here:

https://brainly.com/question/14180189

#SPJ12

What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?

y=-1/2x+

Answers

Hello!

So the equation that you want to use is 
y = mx + b

Now you can plug in both the slope and your points to find b.

3 = -1/2(2) + b
3 = -1 + b
4 = b

So now that we've found b, we can use the original equation and only plug in the slope and b

y = -1/2x + 4

So to find the y-intercept, we need to plug in 0 for x

y = -1/2(0) + 4
y = 0 + 4
y = 4

Your y-intercept is (0,4)

Hope this helps!

ou are cycling around Europe with friends.

A famous cycling race is taking part in the north of Spain. You want to travel there from France, but it will take too long by bike. You decide to catch the train.

You need to take 2 trains to get to Spain. On one website the first train will cost £64.98 and the second train will cost £32.88. There is also a £6.99 charge for cycle storage for the whole trip.
How much would the journey cost you?

Answers

The first train: 64.98 Pounds.The second train: 32.88 Pounds.A charge for a cycle storage: 6.99 Pounds.64.98  + 32.88 + 6.99 = 104.85Answer: The journey will cost you 104.85 British pounds.
 

please help with math

Answers

I did some research, and I think it's the first one. PLEASE CORRECT ME IF I'M WRONG!!
Here's why, because the first segment extends from 0 to 1. So, x has to be 0 or larger, but less than 1 or 1.

Solve the following inequality.
-2/3x>8
A) x < - 4



B) x > - 4



C) x > -12



D) x < -12

Answers

First simplify.
[tex]-\frac{2}{3}x \ \textgreater \ \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ -\frac{2x}{3} [/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \ \frac{2x}{3}\ \textless \ -8[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \ Simplify \ \textgreater \ 2x\ \textless \ -24 [/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \ \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \ Simplify \ \textgreater \ x\ \textless \ -12[/tex]

[tex]Therefore\; x\ \textless \ -12 \;is\;our\;answer![/tex]

Hope this helps!

The product of 3 and a number subtracted from 16 is 7. Find the number.

Answers

To find the number you should start by writing out an equation using x as the number you don't know. That would be 16-3x=7. You would start solving that equation by subtracting 16 from both sides, making the new equation -3x=-9. Finally, you would divide both sides by -3, giving you the answer of x=3.

How do you write 7 to the fourth power in exponential form using exponents?

Answers

Answer:  " 7⁴ " ;   or;  in 'computer lingo' ;  " 7^4 " .
_______________________________________________

The volume of a box with a square base can be written as V = s² x h where V is the volume, s is one side of the square base, and h is the height. Find the volume of a rectangular prism where s = 6 cm and h = 9 cm.

A.108 cm³
B.54 cm³
C.486 cm³
D.324 cm³

Answers

Since only one side of the prism is given in the question, it is assumed that the prism has a square base. Since its height is different from its sides, it can also be called rectangular. The formula to find the volume of the prism is V = s² x h, where s = 6 cm and h = 9 cm So V = 6 x 6 x 9 cm V = 324 cm³

Evi what to make to pottery she needs 3/5 pounds of clay for one piece and 7/10 Pound of clay for the other piece she has three bags of clay that wiegh 4/5 pound each.how many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over ?

Answers

The answer is 1.1 hope this helps.

Right triangle ABC is shown.
a to c is 3m
c to b is a
b to a is c and ab is 50 degrees


Which equation can be used to solve for c?

sin(50o) =

sin(50o) =
cos(50o) =
cos(50o) =

Answers

it is A because the teacher gave me the answer hope y'all enjoy 

Answer:

The required equation which can be used to solve for the value of c is given by :

[tex]\bf\sin 50=\frac{3}{c}[/tex]

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

AC = 3 meter

CB = a meter

BA = c meter

m∠ABC = 50°

Now, to find the value of c.

In right angle triangle right angled at C, we need to find the length of hypotenuse, so using the sine rule in the ΔABC

[tex]\implies \sin\theta=\frac{Perpendicular}{Hypotenuse}\\\\\implies \sin 50=\frac{3}{c}[/tex]

Hence, the required equation which can be used to solve for the value of c is given by :

[tex]\bf\sin 50=\frac{3}{c}[/tex]

if y+1 is an even integer, what is the next consecutive even integer?

Answers

y + 1 is an even integer.

If you add an even integer by 2, you get the next consecutive even integer.

Add y+1 with 2

y + 1 + 2

= y + 3

The next consecutive even integer is y+3.

Have an awesome day! :)

The next consecutive even integer will be y + 3

What is Arithmetic Progression?

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of an AP is given be aₙ = a₁ + ( n - 1 ) d

where a₁ = first term

d = common difference between terms

Given data ,

y + 1 = even integer

The next consecutive even integer can be calculated by adding 2 because the difference between two consecutive even or odd integers is always two.

Therefore , y + 1 + 2 = y + 3

Hence , the next consecutive even integer will be y + 3

To learn more about Arithmetic Progression click :

https://brainly.com/question/24873057

#SPJ2

A color printer prints 9 pages in 3 minutes. how many minutes does it take per page

Answers

9 ÷ 3 = 3
3 pages per min
3/60 seconds = .05 seconds
.05 s/ 60 = 0.00083333 min per pg.

Final answer:

To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.

Explanation:

The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:

First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.

Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.

Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.

Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.

Dimitri is paid 8 percent commission on his total sales every pay period. Last pay period, he sold $6,300 worth of items. After a state tax of 6 percent is deducted from his commission, how much is left to the nearest dollar?

Answers

ok......... so ignore the pay part, that is not his pay but the 8% comission inclusive of the tax

Answer:

$ 474 is left.

Step-by-step explanation:

Given,

The amount at which the items are sold  = $ 6,300,

Also, commission percentage = 8 %,

Thus, commission = 8% of 6300

[tex]=\frac{8\times 6300}{100}[/tex]

[tex]=\frac{50400}{100}[/tex]

[tex]=\$ 504[/tex]

Now, deducted tax percentage on commission = 6%,

Hence, the left amount of commission = commission - 6% of the commission

[tex]=504-\frac{6\times 504}{100}[/tex]

[tex]=504-\frac{3024}{100}[/tex]

[tex]=504-30.24[/tex]

[tex]=\$ 473.76[/tex]

[tex]\approx \$ 474[/tex]

Which values of x will make the absolute value equation true?

|x – 4| = 7

A.
{–3, 3}
B.
{–3, 11}
C.
{–11, 11}
D.
no solution

Answers

Absolute value makes what ever is in those two vertical bars (like how x-4 is) positive. So even if what ends up coming out of those two bars is negative, it is changed to positive by the absolute value. That means x - 4 can equal -7 or 7 because after the absolute value is applied, it's will be made positive so it will equal the positive 7 on the right side of the equation. Let's solve:

x - 4 = 7 (add 4 to both sides to get x by itself)
x = 11 (one of the answers)

x - 4 = -7
x = -3 (other answer)

So the answer is { -3, 11 }
Let's check each answer choice
-----------------------------------------
Checking choice A
Plug in x = -3
|x-4| = 7
|-3-4| = 7 ... replace x with -3
|-7| = 7
7 = 7
We have a true equation so x = -3 works
--------------
Plug in x = 3
|x-4| = 7
|3-4| = 7 ... replace x with 3
|-1| = 7
1 = 7
The last equation is false so x = 3 is not a solution. We can cross choice A off the list.
-----------------------------------------
Checking choice B
We already checked x = -3 (see above in choice A). All we need to do is check x = 11
|x-4| = 7
|11-4| = 7 .... replace x with 11
|7| = 7
7 = 7
We have a true equation so x = 11 works
Since x = -3 and x = 11 work, this means we have the proper solution set {-3, 11}. So this means choice B is the final answer
-----------------------------------------
For the sake of completeness, let's check choice C. 
Plug in x = -11
|x-4| = 7
|-11-4| = 7 ... replace x with -11
|-15| = 7
15 = 7
The last equation is false so choice C can be ruled out as well.
-----------------------------------------
We can cross choice D off the list since we found there is a solution set and it is {-3, 11} back in choice B.
-----------------------------------------
Let's say that we didn't have these answer choices and it was a fill in the blank type of problem. Here's how to find the two solutions
|x-4|=7
x-4=7 or x-4=-7  ...... break up the absolute value
x-4+4=7+4 or x-4+4=-7+4 .... add 4 to each side (for each equation)
x = 11 or x = -3
x = -3 or x = 11
So the solution set is {-3, 11}
-----------------------------------------
-----------------------------------------
Final Answer: Choice B) {-3, 11}

How much time will Alex need to walk to his school, which is 2 1 /4 miles away from his house, if he would walk with the speed of 3 3/4mph

Answers

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\qquad \qquad 2\frac{1}{4}m=3\frac{3}{4}\frac{m}{hr}\cdot t\implies \cfrac{2\frac{1}{4}m}{3\frac{3}{4}\frac{m}{hr}}=t \\\\\\ \cfrac{\frac{9}{4}m}{\frac{15}{4}\frac{m}{hr}}=t\implies \cfrac{9\underline{m}}{4}\cdot \cfrac{4hr}{15\underline{m}}=t\implies \cfrac{9\cdot 4}{4\cdot 15}hr=t\implies \cfrac{3}{5}hr=t[/tex]

so, 36 minutes then.

steve saved $2000. he saved $100 in june. what percent of the total amount did her save in june?

Answers

the answer is 5%, you're welcome

HELP PLEASE THANKS!!!!!

Answers

the answer is B!!! :)
The answer is C

Since your going to a power of negative, you go down as a fraction.

Since you know that 2^4 is equal to 16, you just do the reciprocal of it which is 1/16

Can you find the missing angle measurements

Answers

Here is the answer for the question
recall that a flat-line is always 180°, so the 110° angle is just a supplementary angle, and her sibling is the angle in the triangle, check the picture below.

if you notice the tickmarks on those sides, that means they're equal, that means is an isosceles triangle, or with two equal sides, so the 70° angle is the vertex angle, and the other two angles are just two twins, 180 - 70 = 110, split that equally to the twins, and you get that, check the picture.

what's is "x"?  well, "x" is just a supplementary angle of the one inside the triangle, thus 180 - 55.

Which line has a slope of 2?

Answers

The line that has the slope of 2 is Line C.

Consider the function y = x^2 − 18x. Enter the values for the variables to complete the inverse

Answers

Given the equation:

y = x^2 – 18x

 

Rewrite in vertex form:

y = x^2 – 18x + (18/2)^2 – (18/2)^2

y = (x – 9)^2 – 81

 

Swap x and y:

x = (y – 9)^2 – 81

 

Solve for y:

x + 81 = (y – 9)^2

 

y – 9 = sqrt (x + 81)

y = sqrt (x + 81) + 9

or

y = (x + 81)^(1/2) + 9

Other Questions
Early humans used __________ and __________ as weapons.A.fire . . . woodB.flint . . . boneC.fire . . . metalD.bone . . . animal hides Geometry help please?4 questions.Thanks! What is the molarity of a naoh solution if 11.9 ml of a 0.220 m h2so4 solution is required to neutralize a 25.0-ml sample of the naoh solution? why can't we use seawater to irrigate our crops? What were the first 16 elements known in 1760? Which sentence correctly uses a comma to separate the introductory phrase?Before researchers are granted access to the rare-book stacks, they must be approved through a security screening process.Before, researchers are granted access to the rare-book stacks they must be approved through a security screening process.Before researchers are granted access, to the rare-book stacks they must be approved through a security screening process.Before researchers are granted access to the rare-book stacks they must be approved through, a security screening process. Converting fractions to decimals worksheet 7th grade Los Jesuitas protegieron a los guaran.TrueFalse Mark wrote his Gospel for ______, most likely, those living in _______.Options for blank 1: A. All mankindB. Jews C. GentilesOptions for blank 2:A. RomeB. JudeaC. JerusalemD. Caesarea Is the pronoun in the sentence reflexive, intensive, both, or neither?Joan helped herself to more pie.A: reflexiveB: intensiveC: neitherD: both In triangle ABC, C is a right angle and CD is the height to AB, Find the angles in CBD and CAD if: mA = mDBC =mDCB =mCDB =mACD =mADC = What does the president do? Imperialism is the policy by which a which stronger nation extends its political military or economic control over a weaker territory. To support their view, anti-imperialists argues thatv Three things that made Cleopatra important Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x 4.4. What is the residual value when x = 4? Karl marx called those who own the means of production __________ and those who make their living by selling their own labor power for a wage __________. Who were the Goths? A. Philosophers who opposed the teachings of the church and encouraged education B. Tribes that overran the Roman Empire and brought about the Dark Ages C. Authors who incorporated elements of horror and suspense in their writing D. Books that focused on ancestral curses and the sense that something was wrong Mayumi is constructing a line through point P that is perpendicular to RS. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc? A. It must be equal to PS . B. It must be greater than 12RS. C. It must be wide enough so that the arc intersects RS in two points. D. It must be equal to PR . PLEASE HELP!!! Why was Governor Talmodge opposed to new deal programs such as Social Security A) they thought they expanded the power of the state government too much B) he thought they weekend the power of national government C) he thought they expanded the power of federal government too much D) he thought they weekend the power of the united states congress a performance by Francescan you guys please turn this into a possessive noun phrase Steam Workshop Downloader