24987.2 meters cubed.
Step-by-step explanation:
A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.
The volume of a sphere is V= (4/3)πr3
The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,
45.7m, by 2. So r = 22.85 meters
so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.
Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.
Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
Step-by-step explanation:
the specific gravity of honey is 1.43. a vat of honey 10 feet deep is inside a dome pressurized to 0.05 atmospheres on the surface of pluto. the total pressure at the bottom of the tub is 7,930 pa. what is the gravitational acceleration of pluto in m/s2
Answer:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13 for the function.
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4 for the inverse.
Step-by-step explanation:
we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:
g(y) = x.
now we have
y=4x-3
y=(1/4)x+3/4
The only table that works for our first function is:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13
You can see this by replacing the values of x and see if the value of y also coincides.
Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.
The second table is that one:
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4
