Answer:
3x-120 = x - 30
2x -120 = -30
2x= 90
x= 45
3(45) -120 (plug x into angle p to check your answer)
135-120
15 degrees
45-30 (plug x into angle r to make sure it's the same thing as angle p)
15 degrees (they're equal so now figure out angle Q and answer the question)
180 - (15 +15)
180- 30
150 is the measure of angle Q
so, the triangle is an obtuse isosceles triangle
Step-by-step explanation:
The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.
<h3>What is the volume of the sphere?</h3>
The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.
Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.
The volume of the dome will be calculated as below:-
SA = 13.924π
2πr² = 13.92π
r = √6.96
r = 2.63 feet
Volume = 2 / 3 πr³
Volume = ( 2 / 3 ) π ( 2.63)³
Volume = 12.24π cubic feet
Therefore, the volume of the spherical dome will be 12.9π cubic feet.
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That is the formula to find the slope. Hope it will help you.
Y= 2x+5
According to the slope int. formula,
y=mx+b
here, slope, m=2
y int, b =5
so, the equation is y=2x+5
All you have to do is plug in the number for x, and find y. I will write this out as if in that chart you have shown.
x y = 9 - 3x y
_______________________________________
0 y = 9 - 3(0) 9
1 y = 9 - 3(1) 6
2 y = 9 - 3(2) 3
3 y = 9 - 3(3) 0
Hope that helps!!
