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LEGIBLY 1. A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

LEGIBLY 1. A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PROBLEM SOLVING Instruction: SOLVE THE PROBLEMS GIVEN BELOW. BOX YOUR FINAL ANSWER AND SHOW YOUR SOLUTIONS LEGIBLY. 1. A rectangle has an area of 180 cm? and a perimeter of 54 cm. What are its dimensions? 2. The perimeter of a rectangle is 70, and its diagonal is 25. Find its length and width. 3. Find the area bounded by the curve x? +y?+ 4x -14y + 44 = 0 4. A cable suspended from supports which are 200 m apart has a sag of 5m. if the cable hangs in the form of a parabola, find its equation, taking the origin at the lowest point. 5. The arch of an underpass is a semi-ellipse 60 ft. wide and 20 ft. high. Find the clearance at the edge of a lane if the edge is 20 ft. from the middle. 6. A pair of buildings on a college campus are shaped and positioned like a portion of branches of the hyperbola 400y2-225x2 90 000, where x and y are in meters. How far apart are the buildings at their closest point? 7. Find the sum of all the odd numbers between 100 and 1,000. 8. Find the sum of the numbers between 361 and 589 that are divisible by 19. 9. The fourth term of an arithmetic sequence is equal to 1, and the difference 20th and the 14th terms is 54. Determine the sum of the first 10 terms. 10. Find the sum of the first 10 terms of the geometric progression -343, 49, -7, ..
Transcribed Image Text:PROBLEM SOLVING Instruction: SOLVE THE PROBLEMS GIVEN BELOW. BOX YOUR FINAL ANSWER AND SHOW YOUR SOLUTIONS LEGIBLY. 1. A rectangle has an area of 180 cm? and a perimeter of 54 cm. What are its dimensions? 2. The perimeter of a rectangle is 70, and its diagonal is 25. Find its length and width. 3. Find the area bounded by the curve x? +y?+ 4x -14y + 44 = 0 4. A cable suspended from supports which are 200 m apart has a sag of 5m. if the cable hangs in the form of a parabola, find its equation, taking the origin at the lowest point. 5. The arch of an underpass is a semi-ellipse 60 ft. wide and 20 ft. high. Find the clearance at the edge of a lane if the edge is 20 ft. from the middle. 6. A pair of buildings on a college campus are shaped and positioned like a portion of branches of the hyperbola 400y2-225x2 90 000, where x and y are in meters. How far apart are the buildings at their closest point? 7. Find the sum of all the odd numbers between 100 and 1,000. 8. Find the sum of the numbers between 361 and 589 that are divisible by 19. 9. The fourth term of an arithmetic sequence is equal to 1, and the difference 20th and the 14th terms is 54. Determine the sum of the first 10 terms. 10. Find the sum of the first 10 terms of the geometric progression -343, 49, -7, ..
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