1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GuDViN [60]
3 years ago
6

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 ya

rds, 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
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

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.

You might be interested in
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
Find the vertex for each equation:
tamaranim1 [39]

1. (−3,−1)

2. (3,−5)

3. (−3,−4)

5 0
2 years ago
1/4 x 2/5 x 3/6 x 4/7 x 5/8 x 6/9 x 7/n=?
postnew [5]

Answer:

c. \frac{1}{12n} = {[12n]}^{-1}

Step-by-step explanation:

[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}

\frac{2}{3} = \frac{6}{9}\\ \\ \frac{1}{2} = \frac{3}{6}

* To make this simpler, reduce these two fractions in lowest terms.

I am joyous to assist you anytime.

8 0
3 years ago
Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016. What is Linnea's company's revenue in 2017 as a percent of i
nekit [7.7K]

Let the 2016 revenue = x

Let the 2017 revenue = y

36/25 * 100 = the percent relationship

% relationship = 144%

y = 144% x

Answer 144% <<<<

6 0
3 years ago
Read 2 more answers
IMMEDIATE HELP PLS THANKS &lt;33
Ksenya-84 [330]
Reflect across the y axis and moved through the translation x = 2
3 0
3 years ago
Other questions:
  • What’s the diameter of this object?
    8·2 answers
  • PROBABILITY QUESTION!!! PLEASE HELP
    8·1 answer
  • Simon tosses a coin 20 times. The coin lands heads up 7 times. Based on these results, how many times can Simon expect the coin
    6·1 answer
  • Bozena is an ecologist who studies the change in the tiger population of Siberia over time the relationship between the elapsed
    12·1 answer
  • 29/4 as a percentage
    8·1 answer
  • Question: 2
    5·1 answer
  • Use a transformation to solve the equation. b + 0.6 = –1
    5·1 answer
  • What is the slope of the line passing through (0, 5) and (-12, 2) ? Enter your answer in the box.
    10·2 answers
  • 6. Determine which of the following binomials is a factor of P(x) = x - 7x + 5. c. x+2 a. X-1 b. x + 1 d. none of these 7. Which
    10·1 answer
  • Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remain
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!