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: 7
Step-by-step explanation:
Since we are given the information that a group of friends had 28 driveways to shovel and that one of them shoveled 1/4 of the driveways.
The number of driveways that he shovel will be:
= 1/4 × 28
= 7
Therefore, he shovel 7 driveways.
Answer:
2:9
Step-by-step explanation
4:18 divided by 2 is the lowest it can go so 4 divided by 2 is 2
18 divided by 2 is 9 so,
2:9
Diameter = 8 cm
radius = diameter/2 = 4 cm
A = pi * r^2
A = pi * (4 cm)^2
A = 16pi cm^2
The answer is C I believe. I wasn't sure what exactly D was saying, but I am pretty sure the answer is C
