Quick help please! I can't figure out the answer, I got this same question wrong 2 times in a row.. Any help is appreciated!
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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Answer:
Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Step-by-step explanation:
Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.
The weight of 1 bag of dog food =
The weight of 40 bags of dog food =
Each pallet weighs = 1500 pounds
2 pallets weighs = 1500×2=3000 pounds.
We know that 2000 pounds = 1 ton
Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
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