By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:
3x(2x + 1) + 10(2x + 1)
These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:
Sine 35 degrees = x / 20
x = sine 35 degrees * 20
x = .57358 * 20
x = 11.4716
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:
(5,0) & (4,0)
Step-by-step explanation:
The x-intercepts are where the graph touches the x-axis. The parabola clearly touches in the x-axis at points 4 and 5.
The sum of all angles in a triangle is equal to 180.
75 + 70 + 5 + 3x = 180
150 + 3x = 180
3x = 180 - 150
3x = 30
x = 10
Third angle:
5 + 3(10)
35
