Answer:
Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft
Step-by-step explanation:
The Volume of a box with a square base of say;x cm by x cm and height
h cm is;
V = x²h
Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.
The formula for the surface area of the box described is given by;
A = x² + 4xh
However, we need A as a function of
only x, so we'll use the formula;
V = x²h
V = x²h = 10,976 ft³
So,
h = 10976/x²
So,
A = x² + 4x(10976/x²)
A = x² + 43904/x
So, to minimize the area, it will be at dA/dx = 0.
So,
dA/dx = 2x - 43904/x² = 0
Factorizing out, we have;
2x³ = 43904
x³ = 43904/2
x³ = 21952
x = ∛21952
x = 28 ft
since, h = 10976/x²
h = 10976/28² = 14 ft
Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft
Answer:
(7x+5)(7x-5)
Step-by-step explanation:
We can use the difference of squares equation which states that when a number is multiplied like: (ax+b)(ax-b) then it equals (ax-b). In this equation, since there is no "b" in the typical ax^2+bx+c, we can recognize that the answer is not a square, but a difference of squares.
Answer:
D
Step-by-step explanation:
You are just finding the area of the square base so you don’t need to pay attention to the height. You do 16 x 16
hope this helped :)
The answer is 48.60. You keep the whole number and divide the fraction.
The best description for point F is: b. Circumcenter of triangle ABC.
<h3>What is the Circumcenter of a Triangle?</h3>
The perpendicular bisector is the line is drawn from the vertex of a triangle and bisects the opposite side at right angle. A triangle has three perpendicular bisectors.
The point where the three perpendicular bisectors of a triangle intersects is called the circumcenter of a triangle.
The triangle in the image above has three perpendicular bisector that meets at point F.
Therefore, the best description for point F is: b. Circumcenter of triangle ABC.
Learn more about the circumcenter on:
brainly.com/question/21299234
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