If the shape in the diagram rotates about the dashed line, which three-dimensional object will be formed?
3 answers:
Answer:
Cone
Step-by-step explanation:
Rotation means the circular moment of an object about some axis or center.
In the given figure, the shape is rotated along the dashed line.
The size of the object remains same after rotation.
After rotating about the dashed line, we observe that the object formed is three- dimensional and is in the shape of a cone.
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Answer:
We call the denominator rational.
Step-by-step explanation:
For example:
It's clear that the denominator is now a rational number, not an irrational one anymore.
Recall Euler's theorem: if , then
where is Euler's totient function.
We have - in fact,
for any
since
and
share no common divisors - as well as
.
Now,
where the are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that