Drawing a diagram to match this figure, BC would have to be the hypotenuse as it is the longest side of the triangle. Angle A would have to be the right angle.
For the first choice,
![\cot B = \frac{1}{ \tan B} \\ = \frac {1}{\frac {6}{5}} \\ = 1 \div \frac{6}{5} = \frac{1}{1} \div \frac{6}{5} \\ = \frac{1}{1} * \frac{5}{6} = \frac{5}{6}](https://tex.z-dn.net/?f=%5Ccot%20B%20%3D%20%5Cfrac%7B1%7D%7B%20%5Ctan%20B%7D%20%0A%5C%5C%20%3D%20%5Cfrac%20%7B1%7D%7B%5Cfrac%20%7B6%7D%7B5%7D%7D%0A%5C%5C%20%3D%201%20%5Cdiv%20%5Cfrac%7B6%7D%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20%5Cdiv%20%5Cfrac%7B6%7D%7B5%7D%0A%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20%2A%20%5Cfrac%7B5%7D%7B6%7D%20%3D%20%5Cfrac%7B5%7D%7B6%7D)
. The first choice is not correct.
The second choice gives us
![\csc C= \frac{1}{ \sin C}= \frac{1}{\frac {5}{8}} \\ = 1 \div \frac{5}{8} = \frac{1}{1} \div \frac{5}{8} \\ = \frac{1}{1} * \frac{8}{5} = \frac{8}{5}](https://tex.z-dn.net/?f=%5Ccsc%20C%3D%20%5Cfrac%7B1%7D%7B%20%5Csin%20C%7D%3D%20%5Cfrac%7B1%7D%7B%5Cfrac%20%7B5%7D%7B8%7D%7D%0A%5C%5C%20%3D%201%20%5Cdiv%20%5Cfrac%7B5%7D%7B8%7D%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20%5Cdiv%20%5Cfrac%7B5%7D%7B8%7D%0A%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20%2A%20%5Cfrac%7B8%7D%7B5%7D%20%3D%20%5Cfrac%7B8%7D%7B5%7D)
. The second choice is not correct either.
The third choice gives us
3(n-8)=2n-2
3n-24=2n-2
Subtract 2n from both sides to get
n-24=-2
Adding 24 to both sides gives you
n=22. The number therefore is 22. Hope this helps!!!
Answer:
Here is the graph of y is a function of x.
Answer:
x = ± ![\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B7%7D)
Step-by-step explanation:
3x² + 7 = 28 ( subtract 7 from both sides )
3x² = 21 ( divide both sides by 3 )
x² = 7 ( take square root of both sides )
x = ± ![\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B7%7D)
that is x = -
, x = ![\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B7%7D)