Answer:
96
Step-by-step explanation:
3^4 = 3*3*3*3 = 9*9= 81
3*5=15
81 + 15 = 96
Hope this helps!!
4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5
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:
They are equal to each other, because one vertical angle is a reflection of the other. True
They are not equal to each other, because one vertical angle is not a reflection of the other. False
They are equal to each other, because one vertical angle is supplementary to the other. False
They are not equal to each other, because one vertical angle is not supplementary to the other. False
The 3 angles need to equal 180
The middle angle is given as 100.
180 -100 = 80
There is an x on each side so you have 2x
2x = 80
X = 80/2
X = 40 degrees