Answer:
or 8:17
Step-by-step explanation:
For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

Given: A right triangle with hypotenuse = 68 units
The side adjacent to S = 60
Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get
Thus, the side opposite to S = 32 units
Now, the trigonometric ratio for sin S is given by :-

Hence, the trigonometric ratio for sin S =
or 8:17
Think of when If you cross two lines you get a point where they meet
A point is a solution.
So if the lines never cross, then they would have no point, or A, No Solution
The LCM is 24.
1/12=2/24
5/8=15/24
Answer:
Step-by-step explanation:
Given


The given system is
can be represented by

The given system is consistent when determinant of A is not equal to zero



i.e. system is consistent for all value of k except 

If you want to find the solutions for this you have to factor it. Since it's a second degree polynomial, you'll have 2 solutions. Factoring this using the quadratic formula, you'll get factors of (5x-8)(3x-4). Solving these for x you get x = 8/5 and x = 4/3.