When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)
![\frac{-7}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D)
÷
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20)
Replace the second fraction with it's reciprocal
![\frac{-7}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D)
x
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
Multiply (-7 x 3 and 12 x 2)
![\frac{-21}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-21%7D%7B24%7D%20)
Both 21 and 24 are divisible by three, so divide them by 3
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 ![\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%20%2B%20%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D%201)
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:
She has completed 2/3 of the poster
Explanation:
1/3 of the poster the first day
+
1/3 of the poster the next day
1/3 + 1/3 = 2/3
320 times .19t
t being the number of years
Answer:
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