A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to
Question:
Circumference of a circle = 2Ïr; area of a circle = Ïr2, where r is the radius of the circle.
Step by Step Answer:
Let x width of the window and y height of the rectangular part of the window The perimeter of the ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
A special window has the shape of a rectangle surmounted by an equilateral triangle. See the figure. If the perimeter of the window is 16 feet, what dimensions will admit the most light? Area of an...
-
A special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside dimensions are 100 feet in length. See the illustration. Find the dimensions of the...
-
A Norman window consists of a rectangle surmounted by a semicircle. Find the area of the Norman window shown in the illustration. How much wood frame is needed to enclose the window? 6' 4'
-
Predict your results. Write "yes" or "no," depending on whether you think the plate will show growth. Give the reason (s) for your predictions. Observe the colonies through the petri plate lids. Do...
-
Does optimization of beam weights in 3D CRT Consider a four - field box treatment for prostate cancer (TINOMO), 1. Schematically illustrate how the beam weights can be optimized automatically. 2....
-
A 2.00-kg rock is released from rest at a height of 20.0 m. Ignore air resistance and determine the kinetic energy, gravitational potential energy, and total mechanical energy at each of the...
-
Refer to Exercise 12. Compute the value of the test statistic. Exercise 12 A simple random sample of 17 business majors from a certain university had a mean GPA of 2.81 with a standard deviation of...
-
Sherwin Williams will receive $18,500 a year for the next 25 years as a result of a picture he has painted. If a discount rate of 12 percent is applied, should he be willing to sell out his future...
-
From a liberal feminist standpoint, the "glass escalator" underscores the pressing need for gender equity and the removal of gender-based stereotypes in all professions. It emphasizes the importance...
-
Educational Pension Investment located in New York, invests pension funds for educational institutions. It employs approximately 75 people, 25 of whom are responsible for actual investment...
-
In problem, (a) Draw a scatter diagram. (b) Select two points from the scatter diagram and find the equation of the line containing the points selected. (c) Graph the line found in part (b) on the...
-
A track and field playing area is in the shape of a rectangle with semicircles at each end. See the figure. The inside perimeter of the track is to be 1500 meters.What should the dimensions of the...
-
Two independent random variables X and Y have corresponding probability generating functions: G x (t) = e 3(t 1) and G y (t) = e t(t 1) It is given that A = Y - X. a. A student made the following...
-
What is the role of accounting information in pricing decisions?
-
What elements of profit analysis change when a provider moves from a fee-for-service to a discounted fee-for-service environment?
-
a. Write out and explain the equation for volume breakeven. b. What role does contribution margin play in this equation?
-
What are its primary purposes and benefits?
-
What are the definitions of a cost pool, a cost driver, and an allocation rate?
-
State whether each of the following is true or false. If false, explain why. a) Exceptions always are handled in the method that initially detects the exception. b) User-defined exception classes...
-
Find the market equilibrium point for the following demand and supply functions. Demand: 2p = - q + 56 Supply: 3p - q = 34
-
In Problems 6972, use a calculator to solve each equation. Round the solution to two decimal places. 14.72 - 21.58x 18 2.11 x + 2.4
-
A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3000, how much will be invested in each...
-
In Problems 7992, find the real solutions, if any, of each equation. Use any method. 2 + z = 6z 2
-
When teachers say they are color blind, they are usually saying that they do not discriminate and that they treat all their students equally. Of course, being fair and treating each student with...
-
The purpose of this activity is to identify and present how the brand uses different social media platforms to communicate its messages. ISocial Media Platforms (TikTok) Analysis (Value offered,...
-
Define a research question that can be answered (in full or in part) with qualitative data. Describe the sample of participants you might obtain to help you answer this research question. Draft an...
Study smarter with the SolutionInn App