Option C:
The coefficient of
is 40.
Solution:
Given expression:

Using binomial theorem:

Here 
Substitute in the binomial formula, we get

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.


Let us solve the term one by one.






Substitute these into the above expansion.

The coefficient of
is 40.
Option C is the correct answer.
In this sequence, we're given the first term, which is 45.
The difference between each term is -3, which means 3 will be subtracted in each term.
We're asked to find the value of the tenth term, and we can do so by using this formula:
a(n) = a(1) + d(n - 1)
Replace values.
a(10) = 45 + -3(9)
a(10) = 18
<h3>The value of the tenth term is 18.</h3>
A is not right. Half the cookie would have an angle of 180
B is not right. 4 pieces would have an angle of 288
C is correct. 360/5 is 72 degrees
D is not right. 2 pieces would have an angle of 144
E is correct 90<144 so a 90 degree angle would fit in 2 pieces
2 and 11/100. I think that's as simple as it gets in a mixed number form