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