CEMC.UWATERLOO.CA I The CENTRE for EDUCATION in MATHEMATICS and COMPUTINGProblem of the WeekProblem DThe Largest SquareThree squares are placed side by side with the smallest square on the left and thelargest square on the right. The bottom sides of the three squares form ahorizontal line.The side length of the smallest square is 5 units, and the side length of themedium-sized square is 8 units. If the top-left corner of each square all lie on astraight line, determine the side length of the largest square.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Placement Test Practice Problem #13
In 1978, cars that got about 40 miles per gallon were readily available. If the average fuel economy of all cars sold since then was 40 miles per gallon (instead of the lower average mileage of the cars that were actually sold), how many billions of gallons of gas would have been saved in the United States since 1978? QUESTION 3 Noah's ark has been described as having the following dimensions: 300 cubits long x 50 cubits wide x 30 cubits high. If a cubit is 18 inches, how many people could fit into the ark?
Question 3. To ship a box with USPS, the sum of the length, width, and height cannot exceed 108 inches. Suppose you are shipping a rectangular box with a square base. What is the largest volume your box can have, and what dimensions yield that volume?
Four-Figure Grid References 40 SCH 39 率率 38 A AA AA AA AA A 父 37 率車 36 35 34 07 08 09 10 11 12 13 14 LEGEND A Campsite House Ship * Coal Mine Bridg SC e O Church School H &Shark A Mountain Road Lighthouse Hospital Dolphins Trees H. River Question 3: What is the area reference (AR) for the following D D
A city park next to a river consists of a recreation area and its parking lot. The city is will use fencing that costs $10/foot to build a fence around the outside of the park, except that they will not build a fence on the side next to the river. They will use fencing that costs $12/foot to build a divider between the parking lot and the recreation area (shown as a dotted line on the diagram). River/No fence a. Write a simplified formula for the area of the park (including both the parking lot and the recreation area) as a function of L and W. Parking I Recreation Area Lot W- b. Write a simplified formula for the cost of all of the fence as a function of L and W. c. The total cost of all of the fencing is $3000. Find a simplified formula for the area of the park as a function of W.
These answers are already posted on your website so if you could just copy paste the answer that would be good
5. Use the designs below from Problem 1.1. Each design has an area of 12 square meters. Are the perimeters of the two designs the same? Explain your reasoning. Design A Design C 6. Copy the design below onto grid paper. Add six squares to make a new design with a perimeter of 30 units. Explain how the perimeter changes as you add new tiles to the figure. For Exercises 7-10, find the area and perimeter of each bumper-car floor plan. 7. 8. 9. 10.
TASK 1: Area and Perimeter Use the five pentominoes cutout shapes on the next page to answer the questions below. NOTE: The side length of each square that makes up the pentominoes is 1-unit, the perimeter of the square is 4 units and the area of the square is one square unit. a. Find the area and perimeter of each of the five selected pentominoes below. What patterns do you notice? b. Using all of the five shapes below, put the pieces together to create the shape with the smallest perimeter. C. Using all of the five shapes below, put the pieces together to create the shape with the largest perimeter. d. Of ALL of the pentominoes (12 total) which has the largest perimeter and which has the smallest perimeter? Draw the shapes that you created. Carefully explain your answers to show your conceptual understanding of the content by providing a justification for someone that might not understand the problem. Provide a strong, detailed explanation with enough detail, use of precise…

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