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.
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10
Answer:
20y^7. this is because the exponents are added together because the variable attached to the coefficient are the same therefor the coefficients are multiplied, and the exponents are added together.
79 cents marked down 15%
so
79 x (1 - 0.15)
79 x 0.85 = 67 cents
plus <span>Sales tax is 5.5%
67 x (1.055) = 71 cents
answer
71 cents</span>
Answer:
0.73
Step-by-step explanation:
Number of cards in a standard deck = 52
Number of black cards = 26
Number of face cards = 12
Probability of drawing either a black or face card
Probability = required outcome / Total possible outcomes
P(drawing a black card or face card) = (number of black cards / total card) + (number of face cards / total cards)
= 26/52 + 12 /52
= 0.5 + 0.2307692
= 0.73
