Let the required number is 2x ,
According to the condition,
➡ 10 times the sum of half of 2x and 6 = 8
Therefore the value of x is -5.2
And, required number is -5.2
Its because 20 is doubling its self. Its using 100% of its number, While 40 is decreasing by 50%. Half of forty is 20. Half equals 50%.
Answer:
approx. $1.85 or $1.86 each marker
Answer: There are two solutions and they are
theta = 135
theta = 225
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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.
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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.
12 because triangles will always have an odd number, and 12 is even
I think
