Find cos(a). reduce the ratio if necessary.

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

In this triangle the length of the side adjacent to the angle A is 30, and the length of the hypotenuse is 50

So:

Simplifying we have that:

Final answer is .

Step-by-step explanation:

Using given information in the picture, we need ot find the missing value of Cos(A).

Apply formula of cosine function which is :

Hence final answer is .

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

c. (3,2,6) is the answer.