Aimee is shipping a care package to her friend in college, the max volume of the box is mathematically given as
V=1539.6007
<h3>What is the max
volume of the box?</h3>
Generally, the equation for the height is mathematically given as
V=(20-2x)(40-2x)x
Where x is the height
V=4x^3-120x^2+800x
differentiate v and solve
dv/dx=3x^2-60+200
3x^2-60+200=0
Therefore
x=
x=
x=4.2265
In conclusion, the second differentiation of v and solve we have
d^2v/dx^2=24-240
Hence
d^2v/dx^2< 0
V=(20-2x(40-2x)x
subsitute x
V=(20-2(4.2265))(40-2(4.2265))(4.2265)
V=1539.6007
Read more about volume
brainly.com/question/13338592
#SPJ1
How come it’s a right triangle, I think you do a2+b2=C2. Therefore, you do 9.4 times 9.4 and then 15.1 times 15.1. So it will be 9.4 + b2=15.1. 88.36+ b2=228.01. Then you subtract that and it will be 139.65. Then you do square roots because you are trying to get rid of the second power. And the final answer is 11.81736011. How they told you to round it to the nearest tenth, I will be 11.8. I think this is the answer.
Answer:
12/20
Step-by-step explanation:
Cos is adjacent over hypotenuse
Sin is opposite over hypotenuse
Tan is opposite over adjacent
In this case, we have cosine so we would take the adjacent (12) over the hypotenuse (20), and that will be used to find the answer
Triangle AGB is congruent to Triangle CGB.
For this case we have the following polynomial:
The first thing to do is to place the variables on the same side of the equation.
We have then:
We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
We have then:
Rewriting we have:
Therefore, the solutions are:
Answer:
the solution set of the equation is:
