Answer:
We will be using the Pythagorean theorem for the first 2 and SOH CAH TOA for the other 3.
a^2 + b^2 = c^2
sin(t) = b/c; cos(t) = a/c; tan(t) = b/a
#4) a^2 + 9^2 = (3sqrt(10))^2 #5 9^2 + 27^2 = c^2
a^2 + 81 = 90 81 + 729 = c^2
a^2 = 9 810 = c^2
a = 3 9sqrt(10) = c
#6 27 + 3 = 30 #9 cos(90) = 8/c
8/-0.45 = c
| 17 | = c [not the exact value]
#7 8^2 + b^2 = 17^2 #8 2^2 + 15^2 = c^2
64 + b^2 = 289 4 + 225 = c^2
b^2 = 225 229 = c^2
b = 15 [not the exact value] 15.3 = c [not the exact value]
Sorry if something doesn't make sense and felt kind of rushed. Feel free to comment down below my answer if you have any questions and I'll try to clarify it the best I can.
