Answer:
A
Step-by-step explanation:
We are given a right triangle with a base of <em>x</em> feet and a height of <em>h</em> feet, where <em>x</em> is constant and <em>h</em> changes with respect to time <em>t</em>.
The angle in radians is defined by:

And we want to find the relationship that describes dθ/dt and dh/dt.
So, we will differentiate both sides with respect to <em>t</em> where <em>x</em> is a constant:
![\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5B%5Ctan%28%5Ctheta%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5B%5Cfrac%7Bh%7D%7Bx%7D%5CBig%5D)
Differentiate. Apply the chain rule on the left. Again, remember that <em>x</em> is just a constant, so we can move it outside the derivative operator. Therefore:

Since we know that tan(θ)=h/x, <em>h</em> is the opposite side of our triangle and <em>x</em> is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:

Since secant is the ratio of the hypotenuse to adjacent:

So:

By substitution, we have:

By multiplying both sides by the reciprocal of the term on the left:

Therefore:

Our answer is A.
37.99/12= 3.165
So the price per pound would be $3.17
Answer:
2.82
Step-by-step explanation:
I tried my best so im sorry if it isnt correct
x4-5x2-24=0
(x2+3) (x2-8)=0
x2 +3=0
x= 2.82