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High accurate tutors, shorter answering time. Ask a live tutor for help now. 'A farmer plans to enclose a rectangular pasture adjacent to a river (see figure): The pasture must contain 125, 000 square meters in order to provide enough grass for the herd: No fencing is needed along the river: What dimensions will require the least amount of fencing? Substitute for y in the equation. A hole has a diameter of 13. This pasture is adjacent to a river so the farmer... See full answer below. We can also find/prove this using a little calculus... Get 24/7 homework help! Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Optimization is the process of applying mathematical principles to real-world problems to identify an ideal, or optimal, outcome. Become a member and unlock all Study Answers. What type of figure has the largest area? Provide step-by-step explanations. The length of the fence is,. Get access to millions of step-by-step textbook and homework solutions. Explanation: If there were no river and he wanted to fence double that area then he would require a square of side. Suppose the side of the rectangle parallel to the river is of length. Please upgrade to a. supported browser. Crop a question and search for answer. The given area is: Let us assume that, Area of the rectangle can be expressed as, Substitute in the above Equation. A farmer plans to fence a rectangular pasture adjacent to & river (see the figure below): The pasture must contain square meters in order to provide enough grass for the herd. We are asked to cover a {eq}180000\ \mathrm{m^2} {/eq} area with fencing for a rectangular pasture.
Want to see this answer and more? If the pasture lies along a river and he fences the remaining three sides, what dimension should he use to minimize the amount of fence needed? Try it nowCreate an account. What is the length of the minimum needed fencing material? A farmer wants to make a rectangular pasture with 80, 000 square feet. Check for plagiarism and create citations in seconds. If the altitude has a length of 8 cm and one base has a length of 9 cm, find the length of the other base. For the rectangular pasture, imagine the river running through the middle, halving the area and halving the fencing. Then substitute in the above Equation. Finding the dimensions which will require the least amount of fencing: Step-1: Finding the expression for width. Learn more about this topic: fromChapter 10 / Lesson 5. Differentiating this with respect to. Point your camera at the QR code to download Gauthmath.
We solved the question! Always best price for tickets purchase. Formula for the perimeter can be expressed as, Rewrite the above Equation as, Because one side is along the river. JavaScript isn't enabled in your browser, so this file can't be opened. ISBN: 9781337614085.
Step-4: Finding value of minimum perimeter. Unlimited access to all gallery answers. Mtrs in order to provide enough grass for herds. Find the vale of and. Gauthmath helper for Chrome.
Grade 8 ยท 2022-12-07. Optimization Problems ps. To unlock all benefits! The value of the variable thus obtained gives the optimized value. The area of the pasture is. Answer and Explanation: 1. Step-2: Finding expression for perimeter. Learn to apply the five steps in optimization: visualizing, definition, writing equations, finding minimum/maximums, and concluding an answer.
Explain your reasoning. Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. Your question is solved by a Subject Matter Expert. Support from experts. 8+ million solutions. Step-3: Finding maxima and minima for perimeter value. Hence the only (positive) turning point is when.
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes! Gauth Tutor Solution. Author: Alexander, Daniel C. ; Koeberlein, Geralyn M. Publisher: Cengage, Areas Of Polygons And Circles. Star_borderStudents who've seen this question also like: Elementary Geometry For College Students, 7e. Check Solution in Our App. What dimensions will require the least amount of fencing? No fencing is needed along the river.
Then the other sides are of length. Recommended textbooks for you. So minimum perimeter can be expressed as, Hence, the dimensions will require the least amount of fencing is. This version of Firefox is no longer supported. 12 Free tickets every month. We then differentiate the equation with respect to the variable and equate it to zero. Enjoy live Q&A or pic answer. Check the full answer on App Gauthmath. Substitute is a minimum point in Equation (1). The river serves as one border to the pasture, so the farmer does not need a fence along that part.
Our experts can answer your tough homework and study a question Ask a question. Send experts your homework questions or start a chat with a tutor. The pasture must contain 1, 80, 000 sq.