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:
20 to the 5th power
Step-by-step explanation:
Answer:
Profit
7.50
4.50
Loss
-3.50
-6.00
Step-by-step explanation:
Here, we want to write each profit as a positive number and each loss as a negative number
thus, we have that;
Profit;
7.50
4.50
Loss;
-3.50
-6.00
Answer:
by using kinetic and potentail energy
Answer: x=9,-1
Step-by-step explanation:
First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8
Those numbers would be -9 & 1
-9+1=-8
-9x1=-9
Now we have
(x-9)(x+1)
x-9=0 x+1=0
+9 +9 -1 -1
x=9 x=-1
