Answer:
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Step-by-step explanation:
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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
brainly.com/question/19507943
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Answer:
To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).
Hope this helps!
Answer: hewo, there! your answer is below
x= -5/4
or x= 8
Step-by-step explanation:
step 1: Subtract 27x+40 from both sides.
4x2−(27x+40)=27x+40−(27x+40)
4x2−27x−40=0
Step 2: Factor left side of equation.
(4x+5)(x−8)=0
Step 3: Set factors equal to 0.
4x+5=0 or x−8=0
hope this helps you
have a great Day
Plz makr branilest
