multiply 19.7 x 4 for total gallons
19.7 * 4 = 78.8 total gallons
multiply that by price:
78.8 * $3 = $236.40 total price
The angle of B is ![\angle B=19^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20B%3D19%5E%7B%5Ccirc%7D)
Explanation:
It is given that
and ![a=8, b=3](https://tex.z-dn.net/?f=a%3D8%2C%20b%3D3)
To determine the
, let us use the law of sine formula.
Thus, we have,
![\frac{Sin A}{a} =\frac{Sin B}{b}](https://tex.z-dn.net/?f=%5Cfrac%7BSin%20A%7D%7Ba%7D%20%3D%5Cfrac%7BSin%20B%7D%7Bb%7D)
Substituting the values in the formula, we have,
![\frac{Sin 120}{8} =\frac{Sin B}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BSin%20120%7D%7B8%7D%20%3D%5Cfrac%7BSin%20B%7D%7B3%7D)
Multiplying both sides by 3,we get,
![\frac{3(0.866)}{8} ={Sin B}](https://tex.z-dn.net/?f=%5Cfrac%7B3%280.866%29%7D%7B8%7D%20%3D%7BSin%20B%7D)
Simplifying and dividing, we get,
![0.32475=Sin B](https://tex.z-dn.net/?f=0.32475%3DSin%20B)
Multiplying both sides by
, we get,
![\sin ^{-1}(0.32475)=B](https://tex.z-dn.net/?f=%5Csin%20%5E%7B-1%7D%280.32475%29%3DB)
Thus, ![B=18.95^{\circ}=19^{\circ}](https://tex.z-dn.net/?f=B%3D18.95%5E%7B%5Ccirc%7D%3D19%5E%7B%5Ccirc%7D)
Hence, The angle of B is ![\angle B=19^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20B%3D19%5E%7B%5Ccirc%7D)
Answer:
0
Step-by-step explanation:
it's divided evenly with no remainder