Answer:
4t is the expression
Step-by-step explanation:
4×t
9514 1404 393
Answer:
5/32768
Step-by-step explanation:
This sequence does not have a common difference, but does have a common ratio of r = 10/40 = 1/4. The first term is a1 = 40.
The general term of a geometric sequence is ...
an = a1·r^(n-1)
Then the 10th term is ...
a10 = 40·(1/4)^(10 -1) = 40/4^9 = 5/32768
If you wanted to multiply 5 by 7, for example, you could draw a rectangle on squared paper with sides of 5 squares and 7 squares. You could then count the squares inside the rectangle which would give you the area which is the same as 5 times 7.
Sin(pi/6) would be appropriate as that is 1/2
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.