In APQR, the measure of ZR=90°, RQ = 16, PR = 63, and QP = 65. What ratio
represents the cosine of angleQ?

The ratio is 16/65

Step-by-step explanation:

In this question, we are tasked with calculating what ratio represents the cosine of the angle  Q.

In a right angled triangle, there are usually three sides, the hypotenuse, the opposite and the adjacent. Also, there are three angles, 2 asides the ∠90°. The hypotenuse is the longest side which faces the ∠90°, the opposite is that side facing the angle we are interested in while the adjacent is the third side.

Hence we can have only a single hypotenuse, which is the longest side, two opposites(depending on the angle we are concerned about and two adjacents two based on the angle of interest

Firstly, please check attachment for diagrammatic representation.

The ratio for the cosine of an angle is = length of adjacent/length of hypotenuse

From the diagram, with respect to angle Q, the length of the adjacent is 16 while the length of the hypotenuse is 65.

Thus, the ratio representing the cosine of angle Q is 16/65

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,