In ΔSTU, the measure of ∠U=90°, TS = 73, SU = 55, and UT = 48. What ratio represents the sine of ∠S?

Given:

Given that STU is a right triangle.

The measure of ∠U is 90°

The length of TS is 73, SU = 55, and UT = 48.

We need to determine the ratio of sine of ∠S.

Ratio of sin of ∠S:

The ratio of sin of ∠S can be determined using the trigonometric ratio.

Thus, we have;

where the side UT is opposite to the angle S and ST is the hypotenuse.

Substituting the values, we have;

Substituting the lengths of the sides, we get;

Thus, the ratio of sin of ∠S is

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1