Answer:
Step-by-step explanation:
![\frac{n - 2}{ {n}^{2} - 4} \\ \\ = \frac{n - 2}{ {n}^{2} - {2}^{2} } \\ \\ = \frac{n - 2}{ ({n} + {2})({n} - {2})} \\ \\ = \frac{1}{ {n} + {2}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%20-%202%7D%7B%20%7Bn%7D%5E%7B2%7D%20%20-%204%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bn%20-%202%7D%7B%20%7Bn%7D%5E%7B2%7D%20%20-%20%20%7B2%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cfrac%7Bn%20-%202%7D%7B%20%28%7Bn%7D%20%20%20%2B%20%20%20%7B2%7D%29%28%7Bn%7D%20%20-%20%20%7B2%7D%29%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Bn%7D%20%20%20%2B%20%20%20%7B2%7D%7D%20%5C%5C%20)
Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.
Let the length of the short leg be x, then,
![\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7](https://tex.z-dn.net/?f=%20%5Ccfrac%7Bx%7D%7B14%7D%3D%5Ccfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%5CRightarrow2x%3D14%5C%5C%20%5C%5C%5CRightarrow%20x%3D%5Ccfrac%7B14%7D%7B2%7D%3D7%20)
Answer:C
Step-by-step explanation:
Answer:
a box of plan B cost roughly $50.00
it is pretty expensive but you don't need an I.D.
Step-by-step explanation:
Answer:
a) 62
b) 31/45
Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
__
b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
62/90 = 31/45 = P(male or biology)