Well you pay 50$ for the first one, for the second one your paying 12.50 less and for the third one your paying 25 less, if you add them together you get 112.5, it originally would have costed 150, so you would subtract 150 - 112.5, which equals 37.5 so she saved 37.5 dollars on the rings(Here is a quick simple short way to do it.. she payed 12.50 less and 25 less that added together is 37.5)
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
Answer: I believe it is Response 3
Step-by-step explanation:
I think is should be (5,0)
