Describe fully the single transformation that maps triangle a onto triangle b
1 answer:
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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
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The best way to solve this problem is by plugging in each answer choice for both equations and seeing which one works. You can already see that choice A doesn't work because -1 is not greater than or equal to 4. That means you just need to test choices B and C!
Choice B (4, -2)
2 is not greater than or equal to 6, so choice B doesn't work.
Choice C (4, 2)
Since 6 is equal to 6 and 4 is equal to 4, choice C works!
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Answer: C) (4, 2)
Choice B (4, -2)
2 is not greater than or equal to 6, so choice B doesn't work.
Choice C (4, 2)
Since 6 is equal to 6 and 4 is equal to 4, choice C works!
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Answer: C) (4, 2)