Answer:


Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

we can substitute the value of sec(θ) in this equation:

and solve for for cos(θ)

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.




- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:


and since 

Answer:
42 because 3 tens is 30 and 12 ones is 12. so you do 30 + 12 = 42
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
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Answer:
D
Step-by-step explanation:
The only option with coordinates within the triangle is D.
Coordinates included within the triangle. (-1, 0), (-1, -2), and <em>(-1, -1) </em>
(-1, -1) is the only one listed in the given options.