Answer 144 ft2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
=
Factor out 2 on the numerator and 2x on the denominator.
=
Cancel the factor (x + 2) on the numerator/ denominator
= ← cancel the 2 on numerator/ denominator
= : x ≠ 0
Answer:
Answer on Question #47534 – Math – Geometry
How to prove the volume formula of con is 1/3×π×r^2×h;without using
integration?
Solution.
Suppose we take a slice of the pyramid with the cone inside, from some way up
the pyramid. This will look like a square with a circle fitting inside. Radius of the
cone at this point, will be x.
The area of the circle is
The area of the square is × =
The ratio of the circle to the square is
.
The same is true for every slice we take: the area of the circle is
of the area
of the square.
So, the volume of the cone will be
the volume of the pyramid.
The pyramid's volume is
.
So the cone's volume is
∗
=
Answer:
3/4
Step-by-step explanation:
It can be helpful to use a common denominator for comparison. That denominator can be 100, meaning we can make them all decimal fractions. Approximate (2 digit) values are good enough for the purpose.
2/3 ≈ 0.67 . . . . left end of the range
7/9 ≈ 0.78 . . . . right end of the range
3/5 = 0.60
6/9 ≈ 0.67 . . . . = 2/3, so is not greater than 2/3
3/4 = 0.75
6/7 ≈ 0.86
The only decimal value between 0.67 and 0.78 is 0.75, corresponding to the fraction 3/4.
2/3 < 3/4 < 7/9