A designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 50 yards, which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guests to stand to experience his whisper chamber will be 10 yards from the center of the warehouse space, which will act as the foci. How far out from the center, along the minor axis should he build out his whisper chamber?


53.9 yd

45.8 yd

26.9 yd

22.9 yd

Answers

Answer 1

Answer:

22.9 yards

Step-by-step explanation:

Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.

So, b = ±√(a² - c²)

= ±√(25² - 10²)

= ±√(625 - 100)

= ±√525

= ±22.91 yards

≅ ± 22.9 yards

Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.


Related Questions

help? Given the points (0, 9) and (2, 3) find the slope.

Answers

Answer:

Slope = -3

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{3-9}{2-0}[/tex]

Slope = [tex]\frac{-6}{2}[/tex]

Slope = -3

Consider this quadratic equation.

x2 + 2x + 7 = 21

The number of positive solutions to this equation is
_____.

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
_____.

Answers

Step-by-step explanation:

work is shown and pictured

Please answer correctly!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

g(x) = sqrt(x+3)

g(-6) = sqrt(-6+3) = sqrt(-3)  not a real number not in domain

g(-3) = sqrt(-3+3) = sqrt(0)  0  in domain

g(3) = sqrt(3+3) = sqrt(6)    in domain

Find the circumference of this circle:
7 cm
Write appropriate units with your answer, and round your answer to 2 decimal places.

Answers

I used 3.14 for pie so my answer may very slightly.
Answer: 43.96
Reasoning/Work:
(formula): C= 2(pie, 3.14)r
2x3.14x7
43.96

Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?

Answers

Answer:

2

Step-by-step explanation:

22/11=2

Total points =50
Total points =100 because every exam has a total of 100 points.

Total points per each question = 100 / 50 =2

She was penalized two points for each wrong question

Which set of points on the graph represents equivalent ratios?

Please help me i dont know this question

Answers

Answer:

B-points B, C, and D

Step-by-step explanation:

got this correct:)

triangle jkl is similar to triangle tuv. find the missing side length of triangle tuv. JK=10in JL=8in KL=13in TU=7.5 UV=9.75 find TV

Answers

Answer:

TV=6 inch

Step-by-step explanation:

If Triangle JKL is similar to Triangle TUV, the following ratio applies.

[tex]\dfrac{JK}{TU}= \dfrac{KL}{UV}=\dfrac{JL}{TV}\\$JK=10in., JL=8in., KL=13in., TU=7.5., UV=9.75\\\dfrac{10}{7.5}= \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Picking any two equal ratios\\ \dfrac{13}{9.75}=\dfrac{8}{TV}\\$Cross multiply\\13*TV=8*9.75\\TV=8*9.75 \div 13\\$TV=6 inch[/tex]

Wayne charges the following for repairing washing machines:£28 call out charge +£16 for each half-hour he spends on the repair what will the total cost be for a repair which takes one and a half hours?

Answers

Answer:

The cost for a repair that takes one and a half hour is £52

Step-by-step explanation:

We can create a function that relates the value Wayne charges in function of the time it takes for him to fix the washing machine in hours. Since there's a fixed cost of 28 and another charge that is variable of 16 per half hour, then the function below represents the cost of the repair:

[tex]cost(t) = 28 + 32*t[/tex]

In this case the variable value "16" was multiplied by two, because it's easier when the time is given in hours and every hour contains two half-hours. If the repair took 1.5 h, then:

[tex]cost(1.5) = 28 + 16*1.5\\cost(1.5) = 52\\[/tex]

The cost for a repair that takes one and a half hour is £52

Steel is formed by combining masses of carbon and iron in the ratio 1:49. How many pounds of iron would it take to create 10 pounds of steel?
A)0.49
B)0.48
C)4.9
D)9.8

Answers

Answer:

9.8

Step-by-step explanation:

1:49= ratio of carbon to to iron

1+49= steel

50=10pounds

49=?pounds

49 * 10/50

=49/5

=9.8pounds

square roots of 263 by division method ​

Answers

Answer:

no whole number

Step-by-step explanation:

263 is a prime number, so it can be divided only by 1 and 263. So, no whole number will be square root for 263.

Describe and correct the error in finding the solution
(look at picture for problem)

Answers

Answer:

divide both sides by 2

Step-by-step explanation:

ANSWER THIS AND I WILL FRIEND YOU!!! What is x? 2x(3+4x) *2 -5

Answers

Answer:

Step-by-step explanation:

[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]

Find all missing angles.

Answers

Answer:  

m<1 = 51

m<2 = 34

m<3 = 95

m<4 = 38

m<5 = 47

m<6 = 74

m<7 = 59

Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.    

Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?

Answers

Answer:

he reeled in 16 times

Step-by-step explanation:

time she reeled in 10 feet of line, the fish would take out 5 feet. How many times she have to reel in to get the fish to the boat? See answers (1) ... Or, you can just switch to normal browsing

A circle fits in a square with sides of 12 inches what is the appt area of the shaded region. Between the square and circle using 3.14 and round to nearest whole number

Answers

Answer:

144-36π sq. in.

Step-by-step explanation:

PLEASE HELP!! QUICK. MULTIPLE CHOICE

Answers

Question 3 answer is C

Answer:

4 is a

Step-by-step explanation:

There are 41 students in 6th grade Group A of a junior high school,
and the number of boys is 3 more than the number of girls.
How many boys and girls are there in the class, respectively?

Answers

Answer:

23 boys 21 girls

Step-by-step explanation:

so what i would do is 41/2 =20.5 (we round up becaue its people) 21

so if there are 3 more boys then we  have 23 boys and 21 -3(to make it equal in half) 18 girls

i might be wrong  im not in this level of math yet    

climate scientists use computer models to predict the likely change in global average temperature under various assumptions about CO2 production. What type of data source is this?​

Answers

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}[/tex]

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

Answer:

  a.  Simulation

Step-by-step explanation:

A computer model is generally a simulation of the real world. Certainly, a model of Earth's climate is a simulation.

__

In some cases, the data of interest is the performance of the computer itself (as opposed to some system outside the computer). In those cases, the running of the computer under different scenarios might be considered an experiment.

Help pls :/.

The net of a triangular prism and its dimensions are shown. What is the total surface area, in square inches, of the triangular prism?

A) 240 sq inches
B) 120 sq inches
C) 96 sq inches
D) 24 sq inches

Answers

Answer:

120 sq inches

Step-by-step explanation:

I just did the quiz just now

A box contains 20 miniature golf putt-putt balls; 10 are

yellow, 6 are red, and 4 are pink. What is the probability of

picking a red golf ball, replacing it, and then picking a

yellow golf ball? Written as a percent?

Answers

Answer: The answer is provided below

Step-by-step explanation:

From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.

The probability of picking a red golf ball will be:

= 6/20 × 100

= 600/20

= 30%

If the red ball is replaced, the probability of picking a yellow golf ball will be:

= 10/20 × 100%

= 50%

LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS


What geometric construction is in progress in the image?

A) Constructing an interior arc
B) Bisecting a ray
C) Copying an angle
D) Bisecting an angle

Answers

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

Of the 100 students in the science club, 65 take mathematics, 43 take physics and 10 students take both mathematics and physics. How many science club students take neither mathematics nor physics? URGENT!

Answers

Answer:

2

Step-by-step explanation:

Add the students that take math and physics and subtract the ones that take both so that they are not double counted

65+43-10 =98

There are 100 students

100-98 =2

There are 2 that take neither math nor physics

The price of an item has been reduced by 15%. The original price was $17

Answers

Answer:

17/100*85= $14.45

Step-by-step explanation:

Divide by 100 and multiply by (100-15) 85 to get the result.

Find the slope and the y-intercept of the graph of the linear equation. y = −7x + 2 *

Answers

Answer:

slope = - 7, y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x + 2 ← is in slope- intercept form

with slope m = - 7 and y- intercept c = 2

please help me w dis!! marking brainiest!!!

Answers

Answer:

D

Step-by-step explanation:

Distributing the factors we get

-8x^2 -6x +35

What is the nth term in the sequence: 15, 22, 31, 42, 55

Answers

Counting by seven’s then 9 then 10 then 13

What is the slope of the line graphed below

Answers

Answer: D 2

Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2

Answer:

Slope= 2

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate the slope.

please mark me brainliest :)

If you expand and simplify. -(y+2)(y-8)

Answers

Answer:

[tex]-y^2+6y+16[/tex]

Step-by-step explanation:

[tex]-(y+2)(y-8)[/tex]

[tex]-1(y+2) \times (y-8)[/tex]

[tex](-y-2)\times (y-8)[/tex]

[tex]-y(y-8)-2(y-8)[/tex]

[tex]-y^2+8y-2y+16[/tex]

[tex]-y^2+6y+16[/tex]

The expression (3x2 + 2xy + 7) − (6x2 − 4xy + 3) is Equivalent to −3x2 − 2xy + 4 3x2 − 2xy + 4 −3x2 + 6xy + 4 3x2 − 6xy − 4

Answers

Answer:

[tex]-3x^2+6xy+4[/tex]

Step-by-step explanation:

[tex](3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4[/tex]

Hope this helps!

Answer:

3x2-6xy

Step-by-step explanation:

I think i dont know

x/3 +2y/3= -1 and x-y/3=9 solve. by elimination method​

Answers

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

Other Questions
if f(x)=2x+1 and g(x)=x^2+7, which of the following is equal to f(g(x)) Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below? defines the relationship between speed and velocity? If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of be? Which of the following are true of trademarks?Check all of the boxes that apply.They protect logos.They protect fabric.They show who the maker of the item is.They can be registered with the government. Which of the following describes one advantage of living in an urban area?A. High-rise developments reduce population density.B. There's easy access to cultural attractions.C. Apartment buildings provide a lot of privacy.D. Zoning laws help keep crime low. what function is increasing? will give brainlist ! Please help theres a picture to explain more 11070X=? What is the name of the line of latitude represented by the letter D?A)Tropic of CapricornB)Tropic of CapricornAntarctic CircleD)Arctic Circle Order the numbers from least to greatest based on their absolute values.|23|, |37|, |6|, |18|, |24|, |2| Most of the costs associated with using renewable resources are due to _______.a.overuse of resourcesb.atmospheric pollutionc.lack of availabilityd.global warmingPlease select the best answer from the choices providedABCD Which number produces an irrational number when multiplied by 1/4 You have just turned 30 years old, have just received your MBA, and have accepted your first job. Now you must decide how much money to put into your retirement plan. You are required to specify a fixed percentage of your salary that you want to contribute. Assume that your starting salary is $ 70 comma 000 per year and it will grow 1.8 % per year until you retire. Every dollar in the plan earns 6.5 % per year. You cannot make withdrawals until you retire on your sixty-fifth birthday. After that point, you can make withdrawals as you see fit. You decide that you will plan to live to 100 and work until you turn 65. You estimate that to live comfortably in retirement, you will need $ 97 comma 000 per year starting at the end of the first year of retirement and ending on your 100th birthday. What percentage of your income do you need to contribute to the plan every year to fund your retirement income? ((x - 4) + (x + 2)) * 2x 2x2 8x2 2x 8x2 + 2x 8 Organ pipe A, with both ends open, has a fundamental frequency of 475 Hz. The third harmonic of organ pipe B, with one end open, has the same frequency as the second harmonic of pipe A. Use 343 m/s for the speed of sound in air. How long are (a) pipe A and (b) pipe B? write a paragraph on plastic and pollution within 100 words 4. Which of these terms describes the process of acid rain wearing away limestone?Acryptic erosionB.chemical weatheringC.cryptobiotic weatheringD.chemical erosion A farmer was interest in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 52 or fewer flights on average in the next 40 rows down which he drives his tractor Create a problem using the Pythagorean theorem. Then, solve the problem youve created showing all steps. Let f(x) = -2x + 7 and g(x) = -6x + 3. Find fg and state its domain.