The surface area of a sphere is:
A=4πr^2
And the circumference of a sphere (or circle) is:
C=2πr
Solving for r, r=C/(2π), and using that for r in the area equation gives you:
A=4π(C/(2π)^2
A=4π(C^2/(4π^2))
A=(4πC^2)/(4π^2)
A=(C^2)/π, since we are told that C=50 ft
A=2500/π ft^2
A≈795.8 ft^2 (to nearest tenth)
Answer:
x>9
Step-by-step explanation:
We will first find the volume of the base:
V 1 = 9² · 5 = 81 · 5 = 405 in³
Then the volume of the upper solid - pyramid. We must find the height of the pyramid:
h² = 11² - 4.5² = 121 - 20.25 = 100.75
h = √100.75
h = 10.037429
V 2 = 1/3 · 9² · 10.037429 = 271.01
Finally, the volume of the composite solid:
V = V 1 + V 2 = 405 + 271.01 = 676.01
Answer: C. 676.01 in³
Answer: x = -3
1. write the number in exponential form with the base of 5
2. Since the bases are the same, set the exponents equal
3. solution: x = -3
Answer:
x=15, y=12
Step-by-step explanation:
Opposite interior angles have the same measure. Hence ...
... 62° = (4x+2)°
... 60 = 4x . . . . . divide by °, subtract 2
... 15 = x . . . . . . . divide by 4
And ...
6y° = 72°
... y = 12 . . . . . . . divide by 6°