Answer:
$450
Step-by-step explanation:
A^2 = b^2 + c^2 - 2bc cos a
= 11^2 + 5^2 - 2*5*11 cos 40
= 7.86 to 2 DP's
to find the remaining angles use the sine rule:-
a / sin A = b / sin B so
7.857/ sin 40 = 11 / sin B
sin B = 11 sin40 / 7.857 = 0.8999
<B = 64 degrees
so <C = 180 - 64-40 = 76 degrees
Decompose the terms in the sum as

so there are 20 terms in the sum. Then our sum simplifies to

Now, if

we can reverse the order of terms to get the same sum,

so that doubling up the sum gives

So, our sum evaluates to

The answer is 38.1.078125