Given data:
The diameter of the cut sphere, D=14 in.
The radius of the cut sphere is,
The cut sphere is called a hemisphere.
The surface area of a sphere is
So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,
The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,
Therefore, the total area of the hemisphere is,
The total surface area of a hemisphere is,
Therefore, the total surface area of the cut sphere is 461.8 square inches.
As consecutive odd numbers differ by two (example: 3, 5, 7), the first odd number can be expressed as 2n + 1, the next can be found by adding two to the first to get 2n + 1 + 2 which simplifies to 2n + 3. Finally the expression for the third consecutive odd integer can be found by adding two to the previous, 2n + 3, to get 2n + 5. Adding these three together and setting them equal to your sum gets the equation
2n + 1 + 2n + 3 + 2n + 5 = 63
Combine like terms and solve For n.
Once you have n, you must substitute it back into your three expressions (2n + 1, 2n + 3, 2n + 5) to find the three odd integers.
Hope this helps :)
Answer:
Domain: {-4, -2, 0, 2, 4}
Range: {-2, -1, 0 1, 2}
Step-by-step explanation:
27%=27/100
so 27/100=81/x
27x=8100 divide by 27
x=300
that the answer