Answer:
C. 6.736
Step-by-step explanation:
The unmarked angle is 180-80-40 = 60 degrees. Given the angles of the triangle and one side length there is enough information to use the Law of Sines to solve the triangle--eliminating choice D.
The angle opposite x is larger than the angle opposite 5, so <em>x will be larger than 5</em>. That leaves only answer choice C: 6.736.
___
If you want to actually use the law of sines to determine x, you know that ...
x / sin(60°) = 5 / sin(40°)
x = 5·sin(60°)/sin(40°) . . . . . . multiply by sin(60°)
x ≈ 6.736
Answer:
A: 3.5
B: 2.6
Step-by-step explanation:

Taking

gives

, so that the integral becomes





When

, we have


and from here we can substitute

to proceed from here.
Quick note: When we set

, we are implicitly enforcing

just so that the substitution can be undone later via

. But note that over this domain, we automatically guarantee that

, so the absolute value bars can be dropped immediately.
Answer:
A = pi x r²
A = pi x 8²
A = 64pi
Step-by-step explanation:
I hope this helps :D