Answer:
a: 18pi
b: 3pi
Step-by-step explanation:
part a:
total area = 12^2*pi = 144pi
144pi/8 = 18pi
part b:
total circumference = 12*2*pi = 24pi
24pi/8 = 3pi
a.

By Fermat's little theorem, we have


5 and 7 are both prime, so
and
. By Euler's theorem, we get


Now we can use the Chinese remainder theorem to solve for
. Start with

- Taken mod 5, the second term vanishes and
. Multiply by the inverse of 4 mod 5 (4), then by 2.

- Taken mod 7, the first term vanishes and
. Multiply by the inverse of 2 mod 7 (4), then by 6.


b.

We have
, so by Euler's theorem,

Now, raising both sides of the original congruence to the power of 6 gives

Then multiplying both sides by
gives

so that
is the inverse of 25 mod 64. To find this inverse, solve for
in
. Using the Euclidean algorithm, we have
64 = 2*25 + 14
25 = 1*14 + 11
14 = 1*11 + 3
11 = 3*3 + 2
3 = 1*2 + 1
=> 1 = 9*64 - 23*25
so that
.
So we know

Squaring both sides of this gives

and multiplying both sides by
tells us

Use the Euclidean algorithm to solve for
.
64 = 3*17 + 13
17 = 1*13 + 4
13 = 3*4 + 1
=> 1 = 4*64 - 15*17
so that
, and so 
What do you need help on.
54 or it 180 i got 54 by adding 30 and 24in and got 180 by multiplying
-3/2x
The rational expression would not be defined only when the denominator is divided by 0
That is:
2x =0
x = 0/2
x =0
Hence it would not be defined when x = 0.
Hope this helps.