Answer:
Pete: 39, Linda: 42
Step-by-step explanation:
Suppose Pete has x dollars. If he has 3 dollars less than Linda, then Linda has 3+x dollars. Together, they have 81 dollars:
x+3+x=81
2x+3=81
2x=78
x=39
Since Pete has x dollars, and x=39, he has $39.
Linda has 3+x, which is 39+3 = $42
<em>I hope this helps! :)</em>
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.
Um... I think you meant <span>24:96 = 5:x
In that case, x=20
</span>
Answer:
A, C, E are your answers
Step-by-step explanation:
