The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
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![sin(\theta) = \frac{12}{20} = \boxed{\frac{3}{5}} \\\ cos(\theta) = \frac{16}{20} = \boxed{\frac{4}{5}} \\\ tan(\theta) = \frac{12}{16} = \boxed{\frac{3}{4}}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%20%3D%20%5Cfrac%7B12%7D%7B20%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B3%7D%7B5%7D%7D%20%5C%5C%5C%20cos%28%5Ctheta%29%20%3D%20%5Cfrac%7B16%7D%7B20%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B4%7D%7B5%7D%7D%20%5C%5C%5C%20tan%28%5Ctheta%29%20%3D%20%5Cfrac%7B12%7D%7B16%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B3%7D%7B4%7D%7D)
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Answer:
18 girls
Step-by-step explanation:
2g = 3b
b = 12
g = girls
b = boys
2g = 3*12
2g = 36
g = 36/2
g = 18
Find the mean of thw data 11,11,12,13,13,13,14,14,15,15,16,16,18
amid [387]
Answer:
the mean is 13
Step-by-step explanation:
The way to find the mean of a set of numbers is to add all the numbers together and divide the sum by the number of numbers. so 11 + 11 + 12 + 13+ 13 + 13 + 14 + 14 + 15 + 15 + 16 + 16 + 18 / 13 = 13.9
The slope of the line is
y = -2