If the same amount is added to one
If the same amount is added to one dimensions and removed from the other, the resulting rectangle has an area of 9 square centimeters less than the area of the square which is 81, how much is added and subtracted?
Homework Answers
8.) Find the number which exceeds its square by the greatest amount. 9.) A rectangle has...
8.) Find the number which exceeds its square by the greatest amount. 9.) A rectangle has a perimeter of 8 cm. What should its dimensions be so that its area is a maximum?
a. A rectangular pen is built with one side against a barn. If 2100 m of fencing are used for the other t...
a. A rectangular pen is built with one side against a barn. If 2100 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a barn, each with an area of 100 m squared (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? A rectangle is...
I have done these multiple times and cannot seem to get the right answers. Help would...
I have done these multiple times and cannot seem to get the
right answers. Help would be much appreciated!
3.4 Applied Optimization Turned incally when < Previous Nex A cattle rancher wants to enclose a rectangular area and the divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 580 feet of fencing available to complete the job. What is the largest possible total area of the three pens Largest...
Required information Area of Rectangles and Triangles As we progress in economics courses, there are some...
Required information Area of Rectangles and Triangles As we progress in economics courses, there are some concepts that are best handled geometrically as opposed to (or in addition to) algebraically. We might, for example, need to calculate the area of a triangle, a rectangle, or a trapezoid. Therefore, this document will cover the basics of each, and give examples for practice. The area of a rectangle or square A rectangle is a four-sided figure that has two sets of parallel...
C++ This chapter uses the class rectangleType to illustrate how to overload the operators +, *,...
C++ This chapter uses the class rectangleType to illustrate how to overload the operators +, *, ==, !=, >>, and <<. In this exercise, first redefine the class rectangleType by declaring the instance variables as protected and then overload additional operators as defined in parts 1 to 3. Overload the pre- and post-increment and decrement operators to increment and decrement, respectively, the length and width of a rectangle by one unit. (Note that after decrementing the length and width, they...
Required information Area of Rectangles and Triangles As we progress in economics courses, there are some...
Required information Area of Rectangles and Triangles As we progress in economics courses, there are some concepts that are best handled geometrically as opposed to (or in addition to) algebraically. We might, for example, need to calculate the area of a triangle, a rectangle, or a trapezoid. Therefore, this document will cover the basics of each, and give examples for practice. The area of a rectangle or square A rectangle is a four-sided figure that has two sets of parallel...
Required information Area of Rectangles and Triangles As we progress in economics courses, there are some concepts that...
Required information Area of Rectangles and Triangles As we progress in economics courses, there are some concepts that are best handled geometrically as opposed to (or in addition to) algebraically. We might, for example, need to calculate the area of a triangle, a rectangle, or a trapezoid. Therefore, this document will cover the basics of each, and give examples for practice. The area of a rectangle or square A rectangle is a four-sided figure that has two sets of parallel...
Of all rectangles with area 100, which one has the minimum perimeter? Let P and w...
Of all rectangles with area 100, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively, of the rectangle. Write the objective function in terms of P and w. Assume that the width is less than the length if the dimensions are unequal. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) Of all rectangles with area 100, the one with...
A box with an open top has a length of x centimeters, width of y centimeters,...
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
Consider three 10-9 samples of water one as ice, one as liquid, and one as vapor...
Consider three 10-9 samples of water one as ice, one as liquid, and one as vapor MY NOTES ASK YOUR TEACHER How do the volumes of these three samples compare with one another? The gaseous 10-9 sample of water has a much larger volume than the solid sample, but about the same volume as the liquid sample O Because we do not know the pressure of the gaseous sample, we can only conclude that the liquid and son 10- samples...
8.) Find the number which exceeds its square by the greatest amount. 9.) A rectangle has a perimeter of 8 cm. What should its dimensions be so that its area is a maximum?
I have done these multiple times and cannot seem to get the
right answers. Help would be much appreciated!
3.4 Applied Optimization Turned incally when < Previous Nex A cattle rancher wants to enclose a rectangular area and the divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 580 feet of fencing available to complete the job. What is the largest possible total area of the three pens Largest...
Of all rectangles with area 100, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively, of the rectangle. Write the objective function in terms of P and w. Assume that the width is less than the length if the dimensions are unequal. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) Of all rectangles with area 100, the one with...
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
Consider three 10-9 samples of water one as ice, one as liquid, and one as vapor MY NOTES ASK YOUR TEACHER How do the volumes of these three samples compare with one another? The gaseous 10-9 sample of water has a much larger volume than the solid sample, but about the same volume as the liquid sample O Because we do not know the pressure of the gaseous sample, we can only conclude that the liquid and son 10- samples...
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