ple plotyA modern window has the shape of a rectangle topped by an equilateral triangle as shown in the image above. Find the dimensions of the window that allowsthe most light to pass through, if the outer perimeter of the window measures 8 m.Width of the window: x =NumbermHeight of the rectangular section: yNumberFORMATTING: Give the answers with an accuracy of at least two decimal places.

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Answered: ple plot A modern window has the shape…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter62: Volumes Of Prisms And Cylinders

Section: Chapter Questions

Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...

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Similar questions

The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of a cone with diameter 72.4 cm and height 122.5 cm? Round the answer to 2 decimal places.
Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
A zinc casting is in the shape of a frustum of a right circular cone. The larger base area is 280 inches in diameter and the smaller base area is 2.30 inches in diameter. The height is 3.50 inches. Round the answers for a and b to 1 decimal point. a. Compute the volume of the casting. b. Determine the weight of the casting. Zinc weighs 0.256 pound per cubic inch.
A slot is machined in a circular plate with a 41.36-millimeter diameter. Two milling cuts, one 6.30 millimeters deep and the other 3.15 millimeters, are made. A grinding operation then removes 0.40 millimeter. What is the distance from the center of the plate to the bottom of the slot? All dimensions are in millimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A cylindrical 1.000-liter vessel has a base diameter of 5.00 centimeters. How high is the vessel?
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A right circular cone 12.7 centimeters high contains 198.7 cubic centimeters of material. Find the area of the base of the cone. Round the answer to the nearest square centimeter.
A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.
A copper casting is in the shape of a prism with an equilateral triangle base. The length of each base side is 17.80 centimeters, and the casting height is 16.23 centimeters. Copper weighs 8.8 grams per cubic centimeter. Determine the weight of the casting in kilograms. One kilogram equals 1000 grams. Round the answer to 2 decimal places.

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