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:
None of these choices are correct.
Step-by-step explanation:
If a bond is quoted at 99.875, it means that it is sold at 99.875% of the face value;
Face value = 1000
Therefore, Price = 0.99875 * 1000
Price = $998.75
If Leona pays 5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;
5.5% of 998.75 is;
0.055*998.75 = $54.93
The total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the given choices is correct.
3 is being added each time, so:
-25,-22,-19,-16,-13,-10,-7,-4,-1,2,5,8
I hope this helps!
~cupcake
(red, green) = (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Size of sample space = 18.
Answer:
3
Step-by-step explanation: