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 1/4 miles
Step-by-step explanation:
3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4
Answer: 9 is the answer
Step-by-step explanation:
Answer: PLZ MARK BRAINLIEST
the answer is 80 words/minute
Step-by-step explanation:
Divide 2,320 by 29
Answer:
26
Step-by-step explanation:
In a trapezoid, the length of a mid-segment is average of the two bases.
In this case, the bases are 12 and 40, the average of which is (40 + 12)/2 = 52/2 = 26
