Given sina=9/√97 and that angle a is in quadrant i, find the exact value of cos a in simplest radical form using a rational denominator.

  cos(A) = (4√97)/97

Step-by-step explanation:

The cosine is related to the sine by ...

  cos(A)² = 1 - sin(A)²

  cos(A)² = 1 - (9/√97)² = 1 - 81/97 = 16/97 . . . . substitute for sin(A), simplify

Make the denominator a square:

  cos(A)² = (16·97)/97²

  cos(A) = (4√97)/97 . . . . . square root

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%