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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Answer:
-4y + 20
Step-by-step explanation:
4(-y+5)
What we need to do here is get rid of the parentheses, which can be achieved through multiplication.
This is another way of saying 4 times -y plus 4 times 5.
Let's break the the parentheses down into 2 separate formulas.
4(-y) and 4(5)
Now we can multiply these two together to get -4y and +20. When combined, we get -4y +20.
Answer:
13/28 (13 over 28)
Step-by-step explanation:
26/28 - 13/28 = 13/28 and since 13 is a prime number it can't be simplified
Answer:
<u>12.5% ≈ 13%</u>
Step-by-step explanation:
The rest of the question is: There are 75 pills in the batch.
The current batch of pills is the first of the day and our goal is to produce a total of 600.
If there are 75 pills in the batch so percentage of goal completed will be
[(number of pills in the batch)/(Total pills)] * 100
≈ 13% to the nearest whole number
