Answer: Choice A) 4/5
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Work Shown:
cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5
The fact that sine is positive in quadrant 2 means that the result is positive.
Answer:
4y-x-3 = 0
Step-by-step explanation:
Slope = 0.500/2.000 = 0.250
x-intercept = 3/-1 = -3.00000
y-intercept = 3/4 = 0.75000
Answer:
Picture
Step-by-step explanation:
I am not sure if this is what you want
Answer:
Step-by-step explanation:
Comparing triangle EGD and triangle ELA
AL/DG = EL/EG
AL = x, DG = 3, EL = 5+5+5+5= 20
EG = 5
x/3 = 20/5
x/3 = 4
x = 3×4
x = 12
Answer: (-4, -1)
Step-by-step explanation:
Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.
So the new point is now (-4, 1).
Now we reflect over the x-axis which means the y-value of 1 becomes negative.
So the final point is (-4, -1)