The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is 
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
To know more about Ellipse here
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Isosceles triangles have two equal sides and two equal base angles. If one base angle is 29°, then the other base angle of the isosceles triangle is also 29°.
ANSWER: 29°
Hope this helped! :)
Answer:
I think its J, but I'm not 100% posative
The correct answer would be the last one.
3.8765+4.824+1.733 > 3.88 +4.82+1.73
This link is a good visual prompt of where the tenths, hundredths, thousandths, etc are.
Explanation:
Okay we are rounding to the hundredths. When we round a decimal up, we are basically being lazy so we just simplify the number. When we look at a number we are going to round we first need to spot where we are rounding up. In this case it is the hundredths. Ex. 4.234/ Now the number that we are rounding "needs help from his buddy on his right" If the number on the right is 5 or greater, he is strong enough to help out. But if the number is 4 or lower he is too weak to help out. So lets do an example: Ex. 4.234. We see that 3 is the hundredths and the 3 turns to his buddy on the right and asks if can help. But since his buddy is 4 he can't help out.
Working out the problem:
The first option we are given the answers are in tenths so we can rule that out
The second option we are given the answers are rounded into hundredths so lets round the numbers/ 3.825= 3.83, but the answers given (3.82) do not match up.
The third option: The answers are in hundredths so lets round the numbers.. 3.824= 3.82, but the answers given(3.81) do not match up
*Now by process of elimination you would now know that the 4th is the correct answer but lets work it out anyways, plus doing that is a bad habit to get into*
The fourth option: the answers given are in hundredths so let round the numbers.. 3.8765 (tricky since the answer all the way to the right is above 5 it rounds the helping buddy up) like so: 3.877... 3.877= 3.88. This turns out to be the right answer as you round up all of the hundredths places.
I hope this helps you out and hope you can understand this! Have a GREAT DAY!
