Question

A window is composed of a semicircle placed on top of a rectangle. If you have...

A window is composed of a semicircle placed on top of a rectangle. If you have 26 ft of window framing materials for the outer frame, what are the dimensions that maximizes the area (in ft2) of the window you can create? (Round your answers to two decimal places.)

radius of semicircle ft

width of rectangle ft

height of rectangle ft

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Norman window has the outline of a semicircle on top of a rectangle, as shown...
A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure. Suppose there is 10 + π meters of wood trim available. Discuss why a window designer might want to maximize the area of the window. Find the dimensions of the rectangle (and, hence, the semicircle) that will maximize the area of the window. Round all values in your answer to two decimal places if needed.
A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions...
A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a Norman window of perimeter 39 ft that will admit the greatest possible amount of light. (Round your answers to two decimal places.) x = ft y = ft
A Norman window has the shape of a rectangle with a semicircular top.    The height of...
A Norman window has the shape of a rectangle with a semicircular top.    The height of the rectangle is h and its width is w The base of the semicircuiar top is also w. Assume that the semicircular portion of the perimeter is three times as costly to build as the straight edges.. Fora given area, what ratio of height to radius would minimize cost?
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window,...
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as shown in the image below. What is the maximum possible area, in square meters, of a Norman window with a perimeter of 26 meters? You may enter an exact answer or round to the nearest hundredth.
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and...
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $7/ft2 and the wood costs $4/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the...
You want to form a rectangular pen of area, a = 60 ft2 (see the figure...
You want to form a rectangular pen of area, a = 60 ft2 (see the figure below). One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the width of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is L = 60/w. The total amount of fence required is the function F = 2w +...
MATH125: Unit 1 Individual Project Answer Form Mathematical Modeling and Problem Solving ALL questions below regarding...
MATH125: Unit 1 Individual Project Answer Form Mathematical Modeling and Problem Solving ALL questions below regarding SENDING A PACKAGE and PAINTING A BEDROOM must be answered. Show ALL step-by-step calculations, round all of your final answers correctly, and include the units of measurement. Submit this modified Answer Form in the Unit 1 IP Submissions area. All commonly used formulas for geometric objects are really mathematical models of the characteristics of physical objects. For example, a basketball, because it is a...
∠ABC is a right angle. AB = 8 inches, BC = 13 inches, and AD =...
∠ABC is a right angle. AB = 8 inches, BC = 13 inches, and AD = 3 feet. Determine the surface area (in square inches) and volume (in cubic inches) of the following. (Round your answers to one decimal place.) A triangular prism is given. The prism is oriented so that the top and bottom faces are triangles. Four vertices of the prism are labeled as follows: The bottom left vertex of the top triangular face is labeled A. The...
1. The total world population is forecast to be P(t) = 0.00073t3 − 0.072t2 + 0.9t...
1. The total world population is forecast to be P(t) = 0.00073t3 − 0.072t2 + 0.9t + 6.04    (0 ≤ t ≤ 10) in year t, where t is measured in decades, with t = 0 corresponding to 2000 and P(t) is measured in billions. a. World population is forecast to peak in what year? Hint: Use the quadratic formula. (Remember that t is in decades and not in years. Round your answer down to the nearest year.) ________ b. At...
For full credit be sure to show all work and units. 1. A 20 foot ladder...
For full credit be sure to show all work and units. 1. A 20 foot ladder leans against a vertical wall. The bottom of the ladder slides away from the wall at 2 ft/sec. a. How fast is the top of the ladder sliding down the wall when the top of the ladder is 12 feet from the ground? b. Interpret the meaning of the sign. 2. The current speed record for weight loss is 487 pounds to 130 pounds...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT