Answer:
A-The 14 people selected to participate
Step-by-step explanation:
4× 4 3/10= 4×43/10= 86/5= 17 1/5
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- The<span> vertical pole is10 meters high and casts a shadow 8 meters long.
- The tree casts a shadow 40 meters long.
2. Then, by similarity, you have:
x/10=40/8
8x=(10)(40)
8x=400
x=400/8
x=50 meters
3. Therefore, as you can see, the answer is: The height of the tree is 50 meters.</span>
I can help but can you tell me what kind of problem your doing.
V=x(8-2x)(10-2x) or expanded
V=x(4x^2-36x+80)
V=4x^3-36x^2+80x
...
If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:
x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...
dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...
12x^2-72x+80=0 (using the quadratic formula for ease)
x=(72±√1344)/24, and since x<4
x≈1.472in (to the nearest one thousandth of an inch)
