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

Answers

Answer:

Translation

Step-by-step explanation:

In a translation, every point of the object must be moved in the same direction and for the same distance. PLS MARK MY ANSWER AS THE BRAINLIEST!! PLS

Work out the surface area of the solid cuboid. The diagram is not drawn to scale.2cm,4cm and 5cm

Answers

The surface area of the solid cuboid is 76 cm²

Calculating the surface area of a cuboid

From the question, we are to determine the surface area of the cuboid

The surface area of a cuboid is given by the formula,

Surface area = 2(lb + lh + bh)

Where l is the length

b is the breadth

and h is the height

Let

l = 5 cm

b = 4 cm

h = 2cm

Then,

Surface area = 2(5×4 + 5×2 + 4×2)

Surface area = 2(20 + 10 + 8)

Surface area = 2(38)

Surface area = 76 cm²

Hence, the surface area of the solid cuboid is 76 cm²

Learn more on Calculating the surface area here: https://brainly.com/question/26403859

#SPJ1

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x) + 1.

Answers

Answer:

Step-by-step explanation:


5. Your dog is expecting a litter of puppies. The probability of a puppy being male or female is .50 or 50%. What is the probability that a litter of 4 puppies will contain 2 males and 2 females? Show your work

Answers

Answer:

not likely bbtguvtcettup

A figure is located entirely in the third quadrant if it is reflected over the y axis in which quadrant will it's image lie

Answers

Answer:

It will land in quadrant 1 (quadrant 1)

Step-by-step explanation:

If x-9 is a factor of x2 – 5x - 36, what is the other factor?
x - 4
x + 4
A
ООО
X-6
X + 6

Answers

Answer:

x²-5x-36

=> x²-9x+4x-36 = 0

=> x(x-9)+4(x-9)

=> (x-9) (x+4)

Step-by-step explanation:

Answer:

(x-9) (x+4)

Step-by-step explanation:

x^2 – 5x - 36,

What two numbers multiply to -36 and add to -5

-9 *4 = -36

-9+4 = -5

(x-9) (x+4)

What expression represents 6 less than the quotient of a number and 4 is 15

Answers

The answer is B hope it helps

Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it's D

Step-by-step explanation:

Sorry if im wrong.

attachment Mathswatchhhh!!!!!!!!!

Answers

Answer:

(a) draw the graph using these coordinates :

(0,-1) and (3,1)

(b) x = 3

Find the distance between (-3, 3) and (-3, -3).

Answers

Answer:

6

Step-by-step explanation:

Since the  x coordinate is the same, we only have to look at the y coordinate

3 - -3 = 3 +3 = 6

The distance is 6

Answer:

6

Step-by-step explanation:

Notice that x does not change.  We do go from y = -3 to y = 3, so the distance between these two y-values is 3 - (-3) = 6

How fast was the container being filled?

Answers

Answer:

Between the 10- and 20- second marks

Step-by-step explanation:

in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.

Which angle?

O

O

O

O

of the following is best defined as segments that intersect at a right

A. Perpendicular

segments

B. Intersecting

segments

C. Coplanar segments

D. Parallel segments

Answers

Answer:

Perpendicular

Step-by-step explanation:

What percent of a is b?
Please put your answer in percent.

Answers

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

How many numbers are in the list 1,4,7...........,2005, 2008? URGENT!

Answers

Answer:

670 numbers

Step-by-step explanation:

T1=1*3-2

T2=2*3-2

T3=3*3-2

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

Tn=n*3-2

n*3-2=2008

n*3=2010

n=2010:3

n=670 (numbers)

Answer:

2005-1=2004 so there is 2004 numbers

every 3 numbers 1 is chosen

2004/3=670

670 numbers are in between

Hope this helps

Step-by-step explanation:

How many seconds are in one day?

Answers

Answer: 86,400 seconds

Answer:

86,400

Step-by-step explanation:

there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400

// have a great day //

Plz help...i am offering 10 pts...

Answers

13 is the coefficient

Which measure is always the 50th percentile?
mean
median
upper quartile

Answers

Answer:

median

Step-by-step explanation:

the median is literally the middle number--half the numbers are higher, half the numbers are lower.

PLSSSSS HELPPP!!!!!!! PLLLLLLSSSSSS!!!!!! 20 POINTSSSSSS!!!!!! PLSSSS HELPPP!
Jamie has two similar rectangular boxes. If the sides of one box are three times the lengths of the corresponding sides of the other box, which one of the following is true? *
a. The volume of one box is 3 times the volume of the other.
b. The volume of one box is 6 times the volume of the other.
c. The volume of one box is 9 times the volume of the other.
d. The volume of one box is 27 times the volume of the other.

Answers

Answer:Box A contains 13.75 cubic feet more space than Box B. I just took the test. hope this helps ;)

Step-by-step explanation:

It is 4 : 12 p.M. 4:12 p.M.4, colon, 12, start text, space, p, point, m, point, end text Emma's mom will be home from work in 70 7070 minutes, and Emma has gymnastics lessons at 6 : 00 p.M. 6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How much time will Emma have between the time that her mom gets home from work and the beginning of gymnastics lessons?

Answers

Answer:

40 Minutes.

Step-by-step explanation:

The current time = 4:12 p.M.

Emma's mom will be home from work in 70 minutes.

70 minutes = 1 hour 10 Minutes= 1: 10 Hours

[tex]\left\begin{array}{ccccc}&4&:&12 &p.m.\\+&1&:&10&\\--&--&--&--&--\\&5&:&22&p.m\end{array}\right[/tex]

Therefore, Emma's Mom will get home by 5: 22 p.m.

Emma has gymnastics lessons at 6 : 00 p.M.

To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.

[tex]\left\begin{array}{ccccc}&6&:&00 &p.m.\\-&5&:&22&\\--&--&--&--&--\\&00&:&40&\end{array}\right[/tex]

Emma  will have 40 Minutes.

Answer:

38

Step-by-step explanation:

70 mins

​  

 

=60 mins+10 minutes

=1 hour+10 mins

=1 hour and 10 mins

​  

 

Hint #22 / 5

\begin{aligned} &4{:}12 + \greenD{1\text{ hour}}=5{:}12\\\\ &5{:}12 +\purpleD{10\text{ minutes}}=5{:}22 \end{aligned}  

​  

 

4:12+1 hour=5:12

5:12+10 minutes=5:22

​  

 

Emma's mom will be home at 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text

How much time will Emma have between 5{:}22\text{ p.m.}5:22 p.m.5, colon, 22, start text, space, p, point, m, point, end text and the beginning of gymnastics lessons at 6{:}00\text{ p.m.}?6:00 p.m.?6, colon, 00, start text, space, p, point, m, point, end text, question mark

Hint #44 / 5

\blueD{8}\text{ mins} + \maroonD{30}\text{ mins} = 38\text{ mins}8 mins+30 mins=38 minsstart color #11accd, 8, end color #11accd, start text, space, m, i, n, s, end text, plus, start color #ca337c, 30, end color #ca337c, start text, space, m, i, n, s, end text, equals, 38, start text, space, m, i, n, s, end text

Hint #55 / 5

Emma will have 38 minutes between the time that her mom gets home from work and the beginning of gymnastics lessons. FROM KHAN ACADEMY THO.

Biggest tree in the world:


The height of a redwood tree is 30 metres plus half of its own height, but it
is not 45 metres high. What is the height of the tree?

Answers

Answer:

80m

Step-by-step explanation:

The height of giant redwood tree is 100m.

so half of it is 50m

The height of redwood tree is 30m+ 50m= 80m

Answer: 60 m

Step-by-step explanation:

30 + .5x = x

30 = .5x

60 = x

Can somebody explain to me how to find vertex form from a graph?? I put an example graph if you need it :)))

Answers

Answer:

y = - 4(x + 3)² + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

From the graph (h, k ) = (- 3, 7 ), thus

y = a(x + 3)² + 7

To find a we require a point on the graph other than the vertex

Using (- 2, 3) , substitute into the equation

3 = a(- 2 + 3)² + 7

3 = a + 7 ( subtract 7 from both sides )

a = - 4

Thus

y = - 4(x + 3)² + 7 ← in vertex form

Can someone help me with this one I’m stuck please and thank you

Answers

Answer:

none of them it should be ac,cb,ab. From my point of view

what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)

Answers

Answer:

4(x-3)(x-2)

Step-by-step explanation:

4x^2-20x+24

4(x-3)(x-2)

there are two spinners. spinner A has 2, 4, 6 on it. spinner B has 3, 6 and 9 on it. wat is the probability of scoring more than 3

Answers

Answer:

5/6

Step-by-step explanation: im not sure if this is right...?

f(x)= square root x-3

Answers

I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.

If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then

y = sqrt(x-3)

y = sqrt(7-3)

y = sqrt(4)

y = 2

So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.

As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.

An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.

A park ranger standing in a 146-foot lookout tower sees the beginning of a forest fire. she measures the angle of depression from the tower to the fire to be 12 degrees. Assuming that the ground is horizontal, calculate the distance from the tower to the fire. *Round to the nearest hundredth

Answers

their gd7v7gvugvrty

Step-by-step explanation:

7yvtc

A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed . find the mean of the distribution of scores. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.

Answers

Answer:         μ = 647.4

Step-by-step explanation:

The question says

"A psychologist has designed a questionnaire to measure individuals' aggressiveness. suppose that the scores on the questionnaire are normally distributed with a standard deviation of . suppose also that exactly of the scores exceed"

And we are told to find the mean of the distribution scores.

Given mean μ = ?

we have from standard normal table that

P(Z > 1.282) = 0.1

Therefore the given Z score of a score of 750 is given thus 1.282.

the z score is given:

x - μ / α = 1.282

750 - μ / 80 = 1.282

Therefore μ = (750 - 80)*1.282 = 647.4

So we have that μ = 647.4

cheers i hope this helped !!!

What is 34×60 Brainliest Answer Wins

Answers

Answer:

2040

Step-by-step explanation:

34x60=2040

Answer:

2040

Step-by-step explanation:

So we multiply them on a calculator.

Jack and Jill have gone into business together, Jill promotes and sells
tickets for Jack who performs interpretive dance. They charge $2.50 for
adults and $1.25 for children. One performance sells 12 more tickets to
adult than children. In total they make $183.75. How many of each ticket
did they sell? *​

Answers

Answer:

Number of children's ticket sold =41Number of adult ticket sold=53

Step-by-step explanation:

Adult's ticket price= $2.50

Children's ticket price= $1.25

Let the number of children's ticket sold =x

One performance sells 12 more tickets to  adult than children.

Therefore, the number of adult ticket sold =x+12

In total they make $183.75.

Therefore, we have that:

1.25x+2.50(x+12)=$183.75

We solve the resulting equation for x.

Open the brackets

1.25x+2.5x+30=183.75

Collect like terms

3.75x=183.75-30

3.75x=153.75

Divide both sides by 3.75

x=41

Therefore:

Number of children's ticket sold ,x=41Number of adult ticket sold, x+12 =41+12=53

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

Answers

Answer:

A is the answer i believe

Step-by-step explanation:

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