Answer:
12/13
Step-by-step explanation:
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

Add -12 to both sides:


Divide both sides by 2


Hence Jeff mows 9 yards of lawn in 30 minutes.
Answer: The answer is E: |-4|<|-7| and C: |-7|>|4|