8 is the answer because we all ķnow 3 ×8=24
Let m represent the number of miles traveled. If the whole budget amount of 370 is spent, then ...
... 190 + 0.25m = 370
... 0.25m = 280
... m = 280/0.25 = 1120
For 370, you can travel 1120 miles.
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
The commutative property of addition means that when you see a problem, you change the order. The co in commutative means change order. That's what my teacher told me.
