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
"Pi", written as π - is an irrational number.
π≈3.14
Answer:
6
Step-by-step explanation:
Multiply 7x+3 by 2. When you get 14x+6, set equal to 90 and solve for x.
Answer:
y=1/2x+2
Step-by-step explanation:
16 minutes
0.03*16=0.48
Closest you can get w/out going over.