You did not include the figure, but according to the statement the viewing room of the planetarium is in the shape of a hemisphere.
A hemisphere is half a sphere.
So, the volume of a hemisphere is the half of the volume of the complete sphere.
The formula for the volume of a sphere is:
V = (4/3) π (radius)^3
Using π = 3.14 and radius = diameter / 2 = 50 feet / 2 = 25 feet.
You get:
V = (4/3) (3.14) (25 feet)^3 = 65,416.7 feet^3
Answer: 65,416.7 cu. ft.
Answer:
x=29
Step-by-step explanation:
The square notation indicates 90 degrees.
90=(x+3)+(x-1)+(x+1)
90=3x+3
87=3x
x=29
Answer:
C. (x-2)^2=7
Step-by-step explanation:
What you have to do first is to get rid of the 3 in the x^2 so you will divide 3 by the whole thing to get x^2-4x=3.
You will then divide -4 by 2 and then square the answer to get 4.
You will then add the 4 into the end of the equation and to the 3 to get x^2-4x+4=7.
You will then make into a perfect square (x-2)^2=7 and that is your answer.
Answer: A) 23
Step-by-step explanation:
3^2 + ( 6 - 2 ) ⋅ 4 -6/3
3^2 + 4 ⋅ 4 -6/3
9 + 4 ⋅ 4 -6/3
9 + 16 -6/3
25 - 6/3
75/3 -6/3 = 69/3
69/3 = 23
end behavior is affect by the exponent and whether its negative or positive
y = y^3 starts negative from -∞ to 0 the from 0 to +∞ goes positive
since this equation is negative its switched
-∞ to 0 its positive x>0
0 to +∞ is negative x<0
