Find cos q if q is an angle in standard position and the point with coordinates (3,-4) lies on the terminal side of the angle

cos q =

Step-by-step explanation:

Given:

Coordinate that lies on the terminal side =  (3,-4)

q is   angle in standard position

To Find:

cos q

Solution:

Form the given points we can figure out  a triangle

Thus in a triangle

Here the Adjacent side is   3 units

Opposite side is -4 units

Now the hypotenuse is

=

=

=

= 5 units

Thus cos q =

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls