Question
In: Math
A piece of wire 6 m long is cut into two pieces. One piece is bent...
A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.
(a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order to minimize the total area?
Solutions
milcah answered 2 years agoRelated Solutions
A piece of wire 28 m long is cut into two pieces. One piece is bent...
A piece of wire 28 m long is cut into two pieces. One piece is
bent into a square and the other is bent into an equilateral
triangle. (Give your answers correct to two decimal places.)
(a) How much wire should be used for the square in order to
maximize the total area?
(b) How much wire should be used for the square in order to
minimize the total area?
A piece of wire 10 meters long is cut into two pieces. One piece is bent...
A piece of wire 10 meters long is cut into two pieces. One piece
is bent into a square and the other is bent into an equilateral
triangle. How should the wire be cut so that the total area
enclosed is:
a maximum?
a minimum?
A wire 370 in. long is cut into two pieces. One piece is formed into a...
A wire 370 in. long is cut into two pieces. One piece is formed
into a square and the other into a circle. If the two figures have
the same area, what are the lengths of the two pieces of wire (to
the nearest tenth of an inch)?
A wire 370 in. long is cut into two pieces. One piece is formed into a...
A wire 370 in. long is cut into two pieces. One piece is formed
into a square and the other into a circle. If the two figures have
the same area, what are the lengths of the two pieces of wire (to
the nearest tenth of an inch)?
consider the following function. A piece of wire 14 m long is cut into two pieces....
consider the following function.
A piece of wire 14 m long is cut into two pieces. One piece is
bent into a square and one bent into an equilateral triangle. How
should the wire be cut so that the total area enclosed is a
minimum?
A 20 foot piece of wire is to be cut into two pieces. One piece is...
A 20 foot piece of wire is to be cut into two pieces. One piece
is used to form a circle and the other is used to form a square
(imagine fence used to make a square corral and a circular corral).
What lengths should be cut to make each shape in order to maximize
the sum of the areas of the two shapes?
Let x = the length of the part of the wire that will be used to...
A wire of length 30 cm is cut into 2 pieces which are then bent into...
A wire of length 30 cm is cut into 2 pieces which are then bent
into the shape of a circle of radius r and an equilateral triangle
with side length s. Find the value of r which minimizes the total
area enclosed by both shapes
A piece of wire of length 50 is cut, and the resulting two pieces are formed...
A piece of wire of length 50 is cut, and the resulting two
pieces are formed to make a circle and a square. Where should the
wire be cut to (a) minimize and (b) maximize the combined area of
the circle and the square?
a) To minimize the combined area, the wire should be cut so
that a length of ____ is used for the circle and a length of ____is
used for the square. (Round to the nearest thousandth...
Consider a wire of length 4 ft that is cut into two pieces. One pieces form...
Consider a wire of length 4 ft that is cut into two pieces. One
pieces form a radius for circle and other forms a square of side x.
1) choose x to maximize the sum of area. 2) choose x to minimize
the sum of their areas. WHERE I got x=4/(x+pie).But i am not
sure...
21. Solve the problem.A 44-in. piece of string is cut into two pieces. One piece is used...
21. Solve the problem.A
44-in. piece of string is cut into two pieces. One piece is used to
form a circle and the other to form a square. How should the string
be cut so that the sum of the areas is a minimum? Round to the
nearest tenth, if necessary.
a)Circle piece = 10.6 in., square piece = 33.4 in.
b)Square piece = 0 in., circle piece = 44 in.
C)Square piece = 10.6 in., circle piece = 33.4 in....
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