The answer to this is y=3 and x=-10.
Levant will receive about 9 american dollars when he exchanges his pesos.
According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.
Given:
A figure of a triangular prism.
Height of triangular base =
yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
![B=\dfrac{1}{2}\times base\times height](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
![B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%204%5Ctimes%209%5Cdfrac%7B2%7D%7B3%7D)
![B=2\times \dfrac{29}{3}](https://tex.z-dn.net/?f=B%3D2%5Ctimes%20%5Cdfrac%7B29%7D%7B3%7D)
![B=\dfrac{58}{3}](https://tex.z-dn.net/?f=B%3D%5Cdfrac%7B58%7D%7B3%7D)
Putting
and h=4 in (i), we get
![V=\dfrac{58}{3}\times 4](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B58%7D%7B3%7D%5Ctimes%204)
![V=\dfrac{232}{3}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B232%7D%7B3%7D)
![V=77.33...](https://tex.z-dn.net/?f=V%3D77.33...)
![V\approx 77.3](https://tex.z-dn.net/?f=V%5Capprox%2077.3)
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
^ means to the power of or exponent
logb(x) = y is b^y = x