4x + 6 < 3x - 5 is our given inequality
4x < 3x -11 by subtracting 6 on both sides of the inequality sign
x < -11 by subtracting 3x on both sides.
Thus, x < -11 -- choice D -- is the solution.
<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides of the equation by 8, we get;
Simplifying, we get;
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
If arctan 4/3 = the tangent of that angle will be 4/3 , opposite 4 over adjacent 3
Now, you only have to take the sin of that angle it's opposite 4 over hypotenuse 5.
You will get that the answer is 4/5
hope this helps
