Answer:

Step-by-step explanation:
To find x, the following equation is generated given the available information:



Cross multiply


Collect like terms



La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°
If 4/5 of the total is 48, the total can be found by dividing it by 4 and multiplying it by 5:
48/4 = 12
12*5 = 60.
If you're doing probabilities, there is a 1:6 chance on both (im guessing dont trust me i did probabilities a long time ago)
well, another way to word it will be, we know "x" and "y" are directly proportional, we also know that x = 6 when y = 42, what is "y" when x = 1?
![\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} x = 6\\ y =42 \end{cases}\implies 42 = k(6)\implies \cfrac{42}{6}=k\implies 7=k \\\\\\ \textit{therefore}\qquad \qquad \boxed{y = 7x} \\\\\\ \textit{when x = 1, what is \underline{y}?}\qquad y = 7(1)\implies y = 7](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdirect%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20directly%20with%20%5Cunderline%7Bx%7D%7D%5Cqquad%20%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7By%3D%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7Dx~%5Chfill%20%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ctextit%7Bwe%20know%20that%20%7D%20%5Cbegin%7Bcases%7D%20x%20%3D%206%5C%5C%20y%20%3D42%20%5Cend%7Bcases%7D%5Cimplies%2042%20%3D%20k%286%29%5Cimplies%20%5Ccfrac%7B42%7D%7B6%7D%3Dk%5Cimplies%207%3Dk%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Btherefore%7D%5Cqquad%20%5Cqquad%20%5Cboxed%7By%20%3D%207x%7D%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Bwhen%20x%20%3D%201%2C%20what%20is%20%5Cunderline%7By%7D%3F%7D%5Cqquad%20y%20%3D%207%281%29%5Cimplies%20y%20%3D%207)