The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
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Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
- Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms.
- Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:
- All the fields and buildings fit on the provided lot.
-
Each field is adjacent to at least one building for ease of access.
-
Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
-
For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field
Answer:
(8,2)
Step-by-step explanation:
The solution is where the two graphs intersect.
The two graphs intersect at x=8 and y=2
(8,2)
The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.
For a 30-gon, the sum of interior angles is (28) x (180) = <u>5,040 degrees</u>.
It makes no difference whether or not the polygon is convex at every vertex.
Answer:
21
Step-by-step explanation:
I did the math.
