Assuming cos t= .45 and cos w = .89, both tand ware positive, and both t and w determine a terminal point in quadrant 1, then which of the following
statements best describes the relationship between tand w?

A) t>w

Step-by-step explanation:

If cos t = 0.45, then t = cos⁻¹(0.45) = 63.26° which is located in Quadrant I

If cos w = 0.89, then w = cos⁻¹(0.89) = 27.13° which is located in Quadrant I

Clearly, we can see as the ratio between the adjacent side and hypotenuse of a right triangle gets larger, the angle created by the two sides gets smaller. Therefore, t>w, making option A correct.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

d

step-by-step explanation: