Answer:
A. 27 fish
Step-by-step explanation:
4/3 = 36/f
4f = 108
f = 27
Angle QRT is an exterior angle to the triangle. The rule is that the exterior angle of a triangle is equal to the sum of its remote interior angles. Those remote interior angles are angle RTS and angle TSR. So our equation is
![9x=(5x)+(9+x)](https://tex.z-dn.net/?f=9x%3D%285x%29%2B%289%2Bx%29)
. We can remove the parenthesis and simplify by combining like terms to get 9x = 5x + 9 + x and 9x = 6x + 9 and 3x = 9. That means that x = 3.
By the chain rule,
![\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20u%7D%3D%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20x%7D%5Ccdot%5Cdfrac%7B%5Cpartial%20x%7D%7B%5Cpartial%20u%7D%2B%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20y%7D%5Ccdot%5Cdfrac%7B%5Cpartial%20y%7D%7B%5Cpartial%20u%7D%2B%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20z%7D%5Ccdot%5Cdfrac%7B%5Cpartial%20z%7D%7B%5Cpartial%20u%7D)
![\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20w%7D%7B%5Cpartial%20u%7D%3D2xv%2B2y%5Ccos%20v%2B2z%5Csin%20v)
We also have
![x(9,0)=0](https://tex.z-dn.net/?f=x%289%2C0%29%3D0)
,
![y(9,0)=9](https://tex.z-dn.net/?f=y%289%2C0%29%3D9)
, and
![z(9,0)=0](https://tex.z-dn.net/?f=z%289%2C0%29%3D0)
, so at this point we get
Answer:
False
Step-by-step explanation:
1. Plug in the numbers
2(x)-4(y)=24 -> 2(12)-4(-6)=24
2. Solve
2x12=24 & -4x(-6)=24
24-24=0
0≠24
5572
^ This is the thousands place
If the number after it is 5 or more, we round up, if it's 4 or less we round down.
It's 5 so we round up to 6000