Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
Answer:
14
Step-by-step explanation:
Diego scored 5 points (half of Noah's 10)
which is 9 less than 14!
Answer:
y = -1/4x - 1.
Step-by-step explanation:
y = 4x + 5
The slope of this is 4 so the slope of line perpendicular to this line = -1/4.
Using the formula y - y1 = m(x - x1):
y - (-1) = -1/4(x - 0)
y + 1 = -1/4x
y = -1/4x - 1.
Answer:
77 degrees and 90 degrees
The angle d is shown as 90 by the perfect right angle. The angle e has to equal 180 when added to f. So 180-103=77.
