& Two posts, one 8 feet high and the other 12 feet high, stand 15 feet apart. They are to be stayed by wires attached to a single stake at ground level, the wires running to the tops of the posts. Where should the stake be placed to use the least amount of wire? 10. A page is to contain 54 sq. cm. of printed material. If the margins are lcm at the top and bottom and 0.5cm at sides, find the most economical dimensions of the page.

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A: The solution is given below.

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

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A: Given, A steel storage tank for propane tank gas is to be constructed in the shape of a right…

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A: This question is based on the Applications of derivative : maxima and minima

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

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Q: 2. Two poles, one 12 ft high and the other 28 ft high, stand 30 ft apart. They are to be stayed by…

A: In the given question, the concept of maximization is applied. Optimization  Mathematical…

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Q: 5- An article will be written on a 24 cm2 part of a paper. Since 1.5 cm from the top and bottom and…

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Q: A page is to contain 24 sq. in. of print. The margins at top and bottom are 1.5 in., at the sides 1…

A: Given: The print area is 24 sq. in. The margins of top and bottom are 1.5 in. The margins of sides…

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A: The given question can be solved as shown in step2

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A: Let us consider the triangle  is a right angled triangle. Thus, the third side will be = Thus, the…

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A: *As per the guidelines, only first question answered. Please resubmit the remaining questions…

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A: The length of the hypotenuse of a right triangle is 10.

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Q: 5. Two posts, one 8 ft. high and the other 12 ft. high, stand 15 ft. apart from each other. They are…

A:

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: solution is given below.

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A: Given: A closed rectangular container with a square base is to have a volume of 2592 in3. The…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A: Follow the procedure given below.

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Q: A cylindrical tin can is to be manufactured that will hold a certain volume V. If materials for the…

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Q: A closed rectangular container with a square base is to have a volume of 3456 in3. The material for…

A: The solution of the problem is given in the next steps.

Q: Q.1: The length of rectangular piece of paper exceeds its breadth by 5cm. If a strip of 0.5cm wide…

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Q: Two posts, one 8ft. high and the other 12ft high, stand 15ft. Apart. They are to be stayed by wires…

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Q: An article will be written on a 24 cm2 part of a paper. There will be space 1.5 cm from the bottom…

A: Solution: Let y be the length and x be the width of the paper. Then, the area is 24 cm square, that…