The base of an auditorium is in the form of an ellipse 200 ft. long and 100 ft. wide. A pin dropped near one focus can clearly be heard at the other focus. Determine the distance between the foci to the nearest tenth of a foot. Show each step of the solution.

ANSWER:

The foci are 173.2 ft. apart.

The ellipse of the auditorium has a major axis of 200 ft. and a minor axis of 100 ft., which I determined from the ellipse’s given length and width.

Major axis = 2a = 200
Minor axis = 2b = 100

Therefore, a = 100 and b = 50.

Use the formula c^2 = a^2 - b^2 to find the distance from the center to the focus.

c^2 = 100^2 - 50^2
c^2 = 7500
√c^2 = √7500
c = 86.6

The distance between the two foci will be equal to twice the value of c.

2(86.6) = 173.2

The foci are 173.2 ft. apart.

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation:

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!

20days louise can read300 pg

step-by-step explanation:

1 day 15 pg 300: 15= 20

x day 300 pg

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.