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
Answer:
(0,2)
Step-by-step explanation:
To find vertex all you have to do is look were the bend part of the line is on the x-axis or y-axis iin this case its on the y-axis
Brainiest would be noice
High Hopes^^
Barry-
Answer:
a = 13.8
(missing length of triangle = 13.8 meters)
Step-by-step explanation:
The side lengths of a triangle can be related using the Pythagorean Theorem;
a² + b² = c²
where
a = one side length
b = other side length
c = hypotenuse (long side --across from 90° angle)
So, by plugging our values into the Pythagorean Theorem, we can solve for a:
a = unknown
b = 18.4
c = 23
a² + b² = c²
a² + 18.4² = 23²
a² + 338.56 = 539
- 338.56 - 338.56 {subtract 338.56 from both sides to isolate a}
a² = 190.44
√a² = √190.44
a = 13.8
so, the missing length of the triangle is 13.8 m
hope this helps!!
Answer
<span>D) Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.
Explanation.
A perpendicular bisector, divides the line segment in to two equal parts. It should be perpendicular to the line segment.
The best description the </span><span>the construction of a perpendicular bisector is the one that talks of a general points that lies along the perpendicular bisector and are equidistant from the two ends. From the choices the answer is; </span><span>Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.</span>