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
cestrela7 [59]
3 years ago
10

The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide a pin drop near one focus can clearly be

heard at the other focus determine the distance between the foci to the nearest 10th of a foot.... how would I work this out??

Mathematics
1 answer:
dedylja [7]3 years ago
6 0

Answer:

Let the coordinate of focus be (\pm c , 0)

As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.

⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft

Semi-major axis (a) = 100 ft and

semi-minor axis(b) = 50 ft

Then, by an equation:

c^2 = a^2-b^2

Solve for c:

Substitute the given values we have;

c^2=(100)^2-(50)^2

Simplify:

c^2 = 7500

or

c=\sqrt{7500} = 86.6025404 ft

Distance between the foci is,  2c = 2 \cdot 86.6025404 = 173.205081

Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft

You might be interested in
Which of the following expressions represents "no more than 5”?
zepelin [54]

Answer:

"no more than 5"

"less than or equal to 5"

x \le 5.

I can't see your inequalities or the thing your question called expressions.

Step-by-step explanation:

If is no more than it is less than or equal to.

So no more than 5 means less than or equal to 5.

x \le 5.

8 0
3 years ago
Ethan says that the value of 40.7 is 10 times the value of 4.07 is be correct?
VLD [36.1K]

Answer:

He is correct

Step-by-step explanation:

multiplication and division are inverse operations so lets divide to see if he is correct

40.7/10=4.07

he is correct

8 0
3 years ago
What’s the answer to this please? Thanks!
Serjik [45]

Answer:

70

  1. beacuse (2x-35)+75=180
  2. (2x-35)=105
  3. 2x=140
  4. x=70
3 0
3 years ago
15PTS PLEASE HELP ASAP!<br> (dont write random answers pls)
Goryan [66]

Answer:

kkkkkkkk

Step-by-step explanation:

4 0
3 years ago
X-2y=4 in slope intercept form
Yuliya22 [10]

Answer:

y = 1/2x - 2

Step-by-step explanation:

Slope intercept form:

y = mx + b

x - 2y = 4

-2y = -x + 4

2y = x - 4

y = 1/2x - 2

8 0
3 years ago
Read 2 more answers
Other questions:
  • strawberries cost $2 per pound and gets 20% discount on the total cost. How much does Kate pay for the strawberries?
    9·2 answers
  • The housing market has recovered slowly from the economic crisis of 2008.​ Recently, in one large​ community, realtors randomly
    11·1 answer
  • Verify and name the property: a x ( b x c ) = ( a x b ) x c <br> for a = (−) , b = (−) , c =
    14·2 answers
  • Simplify. Show your work.<br> 5 1/3 + (-3 9/18)
    6·2 answers
  • Combine like terms. 5x + 2x
    14·2 answers
  • In football a team needs 10 yards to make a first down. Suppose that in three plays, your team gains 6 yards, then loses 2 yards
    15·1 answer
  • What is the value of x after these statements if the starting value of x is 3.
    15·1 answer
  • The equation of the horizontal line passing through the point (-3, 8) is y = 8. O True O False​
    12·2 answers
  • Question 5: What is the solution of the system of equations?<br> .A<br> .B<br> .C<br> .D
    11·2 answers
  • Helpp please 100 points
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!