A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 3 miles per hour and can walk 4 miles per hour, where should the boat be landed in order to arrive at a town 14 miles down the shore from P in the least time?

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

A:

Q: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

A: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

A:

Q: A rectangle has a length which is twice that of its width. Also, it's area is twice that of its…

A: This question is related to area and perimeter of rectangle, we will solve it using the given…

Q: he owner of a store wishes to build a 60 ft^2 rectangular pen outside the store for displaying…

A: Given that: Area of rectangular pen to be build, A = 60 ft2Cost of fencing sides adjacent to store =…

Q: A rectangular page is designed to contain 121 square inches of print. The margins at the top and…

A: Let the height of the page= x width= y Area of the page= xy   Height of the printed area= x-3-3=x-6…

Q: A rectangular page is designed to contain 121 square inches of print. The margins at the top and…

A:

Q: Show that the sum of the lengths of the two shortest sides is greater than the length of the third…

A: To show that Sum of the lengths of the two shortest sides is greater than the length of the third…

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

A:

Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.…

A:

Q: An open box is to be made from a piece of cardboard, 15 inches by 15 inches, by cutting equal…

A:

Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

A: To find a positive number for which the sum of it and its reciprocal is the smallest possible.

Q: suppose the sum of two positive numbers a and b is 13. What is the largest valu that ab^2 can be?

A:

Q: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

A:

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A: Let perpendicular side be x and parallel side be y. As, one side is river, Total length of fencing…

Q: a rectanglar garden must be constructed so that the width is 150ft. what are the possible values for…

A: For a rectangle whose length is ‘l’ and width is ‘b’ the perimeter ‘p’ is given by the formula.

Q: Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road. He…

A: Given, Suppose a hiker finds himself in a forest 3 miles from the nearest point on a straight road.…

Q: piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A:

Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a…

A:

Q: A farmer wants to fence a rectangular pasture using a river as one side. The pasture must contain…

A: A farmer wants to fence a rectangular pasture using a river as one side. The pasture must contain…

Q: small island is 4 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Given query is to find the least amount of time to reach at town.

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: We will use second derivative test to find the maximum volume.

Q: A wire of length L is cut into pieces, one being bent to form a square and the other form an…

A: Assuming that the wire is cut in 2 pieces of length x and L-x where the first is used to make a…

Q: Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A…

A:

Q: A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front…

A:

Q: Find two consecutive integers such that tn more than twice the smaller is seven less than three…

A:

Q: A farmer wants to fence in an area of 200 square feet in a rectangular field and then divide it in…

A: Given Area of rectangular field =200 square feet

Q: 1. A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A: The solution is given in the next steps.

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: A rectangular poster is to contain 128 square inches of print. The margins at the top and bottom of…

A: Let the length of the rectangle be x Length after 1 inches of margin = x-2  inch The breadth of…

Q: What should the dimensions of the poster be so that the least amount of poster is used?

A: Assume that, x = length of the printed space y = height of the printed space Then, Length of the…

Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

A:

Q: the number and its reciprocal.

A: Given: The smallest sum of a number n and its reciprocal 1n is 2 which occurs when n=1. Any other…

Q: 6) A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A:

Q: )A wire of length L is cut into pieces, one being bent to form a square and the other o form an…

A: Given problem is :

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A:

Q: A closed rectangular box with a square base is to be constructed using two different types of wood.…

A: Let x be the length and width, and y be the height of the rectangle box.Therefore, Surface area of…

Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

A:

Q: A rectangular poster is to contain 648 square inches of paint. The margins at the top and bottom of…

A:

Q: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

A:

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A:

Q: A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of…

A: Let the height of the poster = x inch  Let the breadth of the poster = y inch  Height of the print…

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: rectangular piece of cardboard, whose area is 264 square centimeters, Is made into an open box by…

A:

Q: A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom of…

A: Given: The area of the poster is 648 square inches. The following diagram shows all the…

Q: 3. Two posts, one 16 feet high and the other 32 feet high, stand 36 feet apart. They are to be…

A: Since Multiple questions are asked, according to guideline, answering first question. Post again for…

Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find y.

Q: A person in a rowboat is 3 km from a point P on a straight shore while his destination is 5m…

A: Given information: A person in a rowboat is 3 km$ from a point P on a straight shore while his…

Q: From a thin piece of cardboard (10 inch by 10 inch) square corners are cut out so that the sides can…

A: