Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
Answer:

Step-by-step explanation:
1) 4(2a+p)=c+p+a
2) Expand: 8a+4p=c+p+a
3) subract a and 4p: 7a=c-3p
4) Divide: a=
Answer:
Option C is correct.

Step-by-step explanation:
Let x be the distance cover by Michelle
Given:
A circle diameter is 3 miles.
And Michelle biked around the trail 4 times.
We know that
The circumference of a circle.
circumference =
----------(1)
where 
miles
Put
and r value in equation 1.


The circumference of a circle is 9.42 miles.
And Michelle biked 4 times, that is equal to 4
circumference.

.
That is equal to 38 miles.
Therefore, Michelle biked around 4 trail is 38 miles.