Answer:
B
Step-by-step explanation:
(Sorry about the crude drawing)
The drawing shows what the triangle with a terminal side in Quadrant IV looks like.
Secant is the ratio of the hypotenuse to the adjacent side of the angle. In the given ratio, we can set 5 as the hypotenuse and 2 as the adjacent side (you can see them labeled in the picture).
Now, we want to find sin, which is (opposite)/(hypotenuse). However, we don't know the opposite. We can find it by using the Pythagorean Theorem:
So, the opposite side is . But, we see that since it's in the fourth quadrant, it must be negative, so we have opposite = . Now, we can find the ratio because hypotenuse = 5:
sin(θ) = .
Thus, the answer is B.
Hope this helps!
Since the answer choices differ in their first coordinate, it is sufficient to determine that one. The 2:5 ratio means the distance from A to the point is 2/(2+5) = 2/7 of the total distance A to B.
The x-distance from A to B is 20 -1 = 19 units. 2/7 of that is (2/7)·19 = 38/7 = 5 3/7. Adding this value to the x-coordinate of A gives the x-coordinate of the point of interest: 1 +5 3/7 = 6 3/7.
The appropriate answer choice is ...
... (6 3/7, 12 2/7)
So, PEMDAS states that the order should be:
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
So, we can start by doing the division and multiplication
18/9=2 and 26*2=52
So now, the equation is:
2+52+3
Now just add all of these together, and you get 57
Hope this helped!!!! :D