There is a clown’s face on the top of a spinner. the tip of his hat rotated to (-2, 5) during one spin. what is the cosine value of this function? a) -2 b) 5 c) 5 sqrt 29/29 d) -2 sqrt 29/29

The correct option is D.

Step-by-step explanation:

It is given that the clown’s face on the top of a spinner. The tip of his hat rotated to (-2, 5) during one spin.

In the point (-2,5), x-coordinate is negative and y-coordinate is positive, it means the point lies in 2nd quadrant. In 2nd quadrant cosine values are negative.

From the below figure it is clear that triangle ABO is a right angled triangle, with perpendicular 5 and base 2.

According to the Pythagoras theorem,

Taking square root both the sides.

In a right angled triangle,

Substitute Base=2 and in the above equation.

Rationalize the denominator.

In 2nd quadrant cosine values are negative. So,

Therefore the correct option is D.

757764

step-by-step explanation:

de77737dd

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734