Answer:
a) t = -7
b) f = 12
c) k = -13
Step-by-step explanation:
a) t + 11 = 4
t = -7
b) f = 8+4
f = 12
c) 5 = 18 + k
-13 = k
Answer:
00343434454151553647410053543804147
Step-by-step explanation:
Answer: 10
<u>Step-by-step explanation:</u>
First, find m∠C by using the Triangle Sum Theorem:
∠A + ∠B + ∠C = 180°
110 + 43 + ∠C = 180°
153 + ∠C = 180°
∠C = 27°
Next, Use the Law of Sines to solve for c:
Answer: There are two solutions and they are
theta = 135
theta = 225
=============================================================
Explanation:
Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.
It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:
theta = 135
theta = 225
You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.
--------
I recommend using your calculator to note that
-sqrt(2)/2 = -0.70710678
cos(135) = -0.70710678
cos(225) = -0.70710678
The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.
