Step-by-step explanation:
57,500,000,000 is in standard form
Diameter = 8 yards so the Radius = 4 yards:
Area of a sphere = 4π.R² and hemisphere = 2π.R²
Area of hemisphere = 2.π.(4)² = 32.π
But note we didn't calculate yet the are that closes this hemisphere:
Area of the cicle = π.R² = π.(4)² = 16.π, so the surface area of the hemisphere is 32π + 16π = 48.π (Or =150.8 yard²)
You add 16 plus 48, which gives you the exact total of 64.
Answer: 69/15=4 and remainder 9
Step-by-step explanation: Since 15 x 4 = 60, 15 can't go into 9 so 9 in the leftover
This can be solved by creating a system of equations.
x + y = 254
12.5x + 10y = 2745
We can then use substitution to solve the system.
x = 254 - y
12.5(254-y) + 10y = 2745
3175 - 12.5y + 10y = 2745
-2.5y = -430
y = 172
Finally, we can use that answer to solve for x.
x + 172 = 254
x = 82
So, there were 82 of the lower box tickets sold and 172 of the upper box tickets sold.
