By induction:
It's true for
, since
clearly contains a factor of 3.
Suppose it's true for
, that
is divisible by 3. Then
where
is an integer. This reduces to
and both terms are clearly multiples of 3. We know that
is an integer since we had set
previously, which implies
is a multiple of
. So the statement is true.
Answer:
b is the angle being measured while a is the angle at a point with b
Step-by-step explanation:
The only time we use 360 for calculating an angle is when the two angles are at a point as both of them assuming a and b sum up to 360°.
Therefore a + b = 360
and if b is being measured, b = 360 -a
Answer:
It is not a function.
Step-by-step explanation:
This is what we call a mapping;
Functions do not give multiple output values for a given input value;
As we can see, the input 2 produces an output of 20 and 40, therefore we can tell this is not a function.
Answer:
20 miles
Step-by-step explanation:
d miles × (1 h)/(10 miles) = d/10 hours
d miles × (1 h)/(40 miles) = d/40 hours
d/40 = d/10 - 3/2
d = 4d - 60
d = 20 miles
Answer:
I think its b
Step-by-step explanation:
A=2πrh+2πr2=2·π·5·12+2·π·52≈534
