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
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That would be option D
The y intercepts are 1 and 4 and the slope are -1 and 2.
This is how the first one would be done. sorry if it’s a little messy the answer is 9. but try using photomath for the rest. it gives you the answer and explains how to do it
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❖ Mean = 4.8 Median = 4.5
The mean is the average. To find the mean add up all the numbers and divide by the number of numbers:
3 + 3 + 4 + 5 + 5 + 9 = 29
29 ÷ 6 = 4.8
To find the mean, keep crossing out numbers until you are left with one number (for an odd amount of numbers). When you have an even amount of numbers, keep crossing out until you are left with 2 numbers. Add those 2 numbers and then divide:
4 + 5 = 9
9 ÷ 2 = 4.5
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