Please Answer This question.

K = 15

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine x = 1/4

Cos² x = K / 16

K =?

Next, we shall determine the 3rd leg (i.e the adjacent) of the right angle triangle. This can be obtained as follow:

Sine x = 1/4

Sine x = Opposite / Hypothenus

Opposite = 1

Hypothenus = 4

Adjacent =?

Hypo² = Opp² + Adj²

4² = 1² + Adj²

16 = 1 + Adj²

Collect like terms

16 – 1 = Adj²

15 = Adj²

Take the square root of both side.

Adj = √15

Next, we shall determine Cos² x.

Adjacent = √15

Hypothenus = 4

Cos² x =?

Cos x = Adjacent / Hypothenus

Cos x = √15 /4

Square both side

Cos² x = (√15 /4)²

Cos² x = 15 / 16

Finally, we shall determine the value of K. This can be obtained as follow:

Cos² x = K / 16

Cos² x = 15 / 16

K / 16 = 15 / 16

K = 15

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.