Please answer this question immediately ...I need help pls

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

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step-by-step explanation: