Answer:
47%
Step-by-step explanation:
3/4 of 5/8
3/4 • 5/8
15/32 = 0.46875 or 47%
For every negative power you divide by 10
Answer:
∠A = 22°
Step-by-step explanation:
Given:
We take inverse of sine to find angle A.
So, 
°
22.23° rounded to nearest whole degree is 22°.
∴ 
°.
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.
