Answer:
![\frac{f}{g} =\frac{3x+1}{5x-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Bg%7D%20%3D%5Cfrac%7B3x%2B1%7D%7B5x-1%7D)
![x\neq \frac{1}{5}](https://tex.z-dn.net/?f=x%5Cneq%20%5Cfrac%7B1%7D%7B5%7D)
Step-by-step explanation:
we are given
![f(x)=3x+1](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B1)
![g(x)=5x-1](https://tex.z-dn.net/?f=g%28x%29%3D5x-1)
we have to find f/g
we can write as
![\frac{f}{g} =\frac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Bg%7D%20%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D)
now, we can plug values
and we get
![\frac{f(x)}{g(x)} =\frac{3x+1}{5x-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%3D%5Cfrac%7B3x%2B1%7D%7B5x-1%7D)
so,
![\frac{f}{g} =\frac{3x+1}{5x-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Bg%7D%20%3D%5Cfrac%7B3x%2B1%7D%7B5x-1%7D)
we know that denominator can not be zero
so,
![5x-1\neq 0](https://tex.z-dn.net/?f=5x-1%5Cneq%200)
now, we can solve for x
![5x-1+1\neq 0+1](https://tex.z-dn.net/?f=5x-1%2B1%5Cneq%200%2B1)
![5x\neq 1](https://tex.z-dn.net/?f=5x%5Cneq%201)
Divide both sides by 5
and we get
![x\neq \frac{1}{5}](https://tex.z-dn.net/?f=x%5Cneq%20%5Cfrac%7B1%7D%7B5%7D)
Answer:
![Height\approx 1.35\ miles](https://tex.z-dn.net/?f=Height%5Capprox%201.35%5C%20miles)
Step-by-step explanation:
The angle of elevation![=25\textdegree](https://tex.z-dn.net/?f=%3D25%5Ctextdegree)
It is
away from the point.
If we imagine a right triangle having an angle
.
Hypotenuse
, Opposite=Height from sea level![(h)](https://tex.z-dn.net/?f=%28h%29)
![\sin 25=\frac{opposite}{hypotenuse}\\\\\sin 25=\frac{h}{3.2}\\\\h=3.2\times \sin 25\\\\h=3.2\times 0.4226\\\\h=1.3524\approx 1.35\ miles](https://tex.z-dn.net/?f=%5Csin%2025%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%5C%5C%5C%5C%5Csin%2025%3D%5Cfrac%7Bh%7D%7B3.2%7D%5C%5C%5C%5Ch%3D3.2%5Ctimes%20%5Csin%2025%5C%5C%5C%5Ch%3D3.2%5Ctimes%200.4226%5C%5C%5C%5Ch%3D1.3524%5Capprox%201.35%5C%20miles)
The answer is c because the variable behind the number s are equal
Sq32/8 = sq4
It would be c. 2