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:
$1,161.18 (assuming if interest rate is 3%)
Step-by-step explanation:
Kindly check the attached picture for explanation
Answer: x=3
Step-by-step explanation:
Answer: p < -3/5
Step-by-step explanation:
2p - 4 < -3p - 7
+3p +3p
------------------------
5p - 4 < -7
+4 +4
------------------------
5p < -3 (divide by 5)
p < -3/5
wertyuioplkjhgfdaxvniycky
