Answer:
Using the Sine Rule , which states that
![\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%20A%7D%3D%5Cfrac%7Bb%7D%7BSin%20B%7D%3D%5Cfrac%7Bc%7D%7BSinC%7D)
In Δ ABC
∠A +∠B+∠C=180°→→Angle Sum Property of Triangle
72°+85°+∠C=180°
∠C=180° - 157°
∠C= 23°
All the angles are in degrees.
![\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%2072%7D%3D%5Cfrac%7Bb%7D%7BSin%2085%7D%3D%5Cfrac%7B6.2%7D%7BSin%2023%7D)
Using the table of Sine, Calculating Sine Values
Sin 72°= 0.9510
Sin 85°=0.996
Sin 23°=0.390
![\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B0.951%7D%3D%5Cfrac%7Bb%7D%7B0.996%7D%3D%5Cfrac%7B6.2%7D%7B0.390%7D%5C%5C%5C%5C%20a%3D%5Cfrac%7B6.2%20%2A%200.951%7D%7B0.390%7D%3D%2015.118%5C%5C%5C%5C%20b%3D%5Cfrac%7B6.2%20%2A%200.996%7D%7B0.390%7D%3D15.833)
Among the five Options,
Option E: a= 15.09 and b=15.81 is approximately true.
318-47= 271 There are 271 non-fiction books in the library. just subtract 47 from 318 to get the answer.
As we are given with
The number of pints he canned is represented by p.
The number of quarts he canned is represented by q.
A pint is 16 ounces and a quart is 32 ounces.
If Chin canned a total of 1,280 ounces then we can write
![16p+32q=1280\\ \\](https://tex.z-dn.net/?f=%2016p%2B32q%3D1280%5C%5C%20%5C%5C%20%20)
Hence the required scenario can be represented using the equation
![16q+32p=1280](https://tex.z-dn.net/?f=%2016q%2B32p%3D1280%20)
What is the rule? It will be easier to put this equation into a graphing calculator because it shows the table for this equation.