A 120-m long fence is to be cut into pieces to make three enclosures, each of which
Question:
A 120-m long fence is to be cut into pieces to make three enclosures, each of which is square. How should the fence be cut up in order to minimize the total area enclosed by the fence?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
Suppose the sides of the three squares are x y and z Then 4x 4y 4z 120 so that x y z 30 We want to m...View the full answer
Answered By
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students.
Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs.
Responsible for Creating, Editing, Updating all contents related Chemical Engineering in
latex language
4.40+
8+ Reviews
22+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. See the figure. (a) Express the total area A enclosed by the...
-
A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle. (a) Express the total area A enclosed by the...
-
A piece of string 20 m long is to be cut into pieces such that the lengths of the pieces form an arithmetic sequence. a. If the lengths of the longest and shortest pieces are 2 m and 50 cm...
-
(a) Let k be any real number and a < 1. Show that the function (1+x)k has the following power series representation (1 + x) = (h)a = 1+ kx + ? -x + k(k-1) 2! n=0 The above series is called the...
-
Anne Boleyn will invest $5,000 a year for 20 years in a fund that will earn 12% annual interest. If the first payment into the fund occurs today, what amount will be in the fund in 20 years? If the...
-
A retailer buys bushels of mushrooms for $2 each and sells them for $5 each. The quality of the mushrooms begins to decline after the first day they are offered for sale; therefore, to sell the...
-
Visit http://www.law.cornell.edu. Click on "Constitutions and Codes," then "Other Uniform Laws." Select a state from "state list". Then click on "Judicial Opinions." Search for a case concerning...
-
On June 1, 2014, Ellie Hopkins established an interior decorating business, First-Class Designs. During the month, Ellie completed the following transactions related to the business: June 1. Ellie...
-
Finance Lease: Net Advantage to Leasing Dunbar Corporation can purchase an asset for $22,000; the asset will be worthless after 14 years. Alternatively, it could lease the asset for 14 years with an...
-
A box with a volume of 8 m 3 is to be constructed with a gold-plated top, silver-plated bottom, and copper-plated sides. If gold plate costs $120 per square meter, silver plate costs $40 per square...
-
Find three positive numbers that sum to 150 with the greatest possible product of the three.
-
When does a corporation need a licence to operate in a particular province?
-
Income Statement Pietro Frozen Foods, Inc., produces frozen pizzas. For next year, Pietro predicts that 50,000 units will be produced, with the following total costs: Direct materials Direct labor ?...
-
Wet steam with a quality 42% vapor is to be stored in a tank under pressure at 15 bar. What is the required volume of the tank to store 683 kg of water in units of m 3 ? Use the steam tables and...
-
Calculate the required parameters for aircraft flying at 5 0 0 0 m above from the ground. ( p = 0 . 7 3 6 kg / m ^ 3 ) a ) If total static pressure difference is read as 2 kPa, calculate the velocity...
-
Add the polynomials 2x3 + x-3 and 2x+4x-1.
-
The cost of the machine is $14,859. The CCA rate is 23%. After 8 years, the machine is sold for $658. If it is the only asset in the asset class and the tax rate is 40%, what is the TRTL? (Assume...
-
Several years ago, a Delta Airlines 727 crashed in Dallas. The crash resulted in a gain of $.11 per share of Delta. How could this happen? Consider the accounting for airplanes. Airlines insure their...
-
A non-charmed baryon has strangeness S = 2 and electric charge Q = 0. What are the possible values of its isospin I and of its third component I z ? What is it usually called if I = 1/2?
-
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. .2 e* dx Jo
-
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. 2e In x dx Je
-
Confirm the entries in Table 7. Table 7 Price per Calculator, p (Dollars) Number of Calculators, x 60 12,000 65 11,250 70 10,500 75 9,750 80 9,000 85 8,250 90 7,500 DO00
-
Polypropylene (PP) is a hydrocarbon polymer produced from the reaction of chemicals obtained from crude oil. PP is used in many applications including the manufacture of food containers such as...
-
Roger lost his job at the R - gone Manufacturing Company. Since then he has been trying to find a job at other local factories. He is counted as employed unemployed not in the labor force
-
Research by Sebastien Bradley of Drexel University and Naomi Feldman of the Federal Reserve revealed that the price elasticity of demand for airline tickets increased after airlines had to reveal tax...
Study smarter with the SolutionInn App