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) Algebraically find the x- and y-intercepts of the graph and (b) Graph each equation with a graphing calculator, using a window that includes the intercepts. y = 0.001x - 0.03
-
The computer can automatically generate an employees paycheck. (True/False)
-
Telecom Systems can issue debt yielding 9 percent. The company is in a 30 percent bracket. What is its after-tax cost of debt?
-
Q2) The accounting cycle of a governmental unit similar from that of a business firm in all of these except for? a. The government uses the budget for control purposes and business firm may use the...
-
Zach (age 44) and Kelly (age 44) have been married for 24 years. They have an 8-year-old daughter, Jessie. They also have twin sons, Albert and Samuel (both age 19). All three children lived the...
-
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...
-
Which of these formulas gives the maximum number of nodes in the Nth level of a binary tree? 1. N N 2.2 N+1 3.2 N 4.2 - 1
-
Which social science discipline focuses on the family as who is related to whom? Anthropology or Social Psychology or Psychology or Sociology
-
14. The Centipede Company uses standard costing. The following data are available for October: Actual quantity of direct materials used 23,500 pounds Standard price of direct materials P 2 per pound...
-
After owning his home for 4 years, Braxton wants to refinance his mortgage interest rate from 4.5% to 3.75%. If his current mortgage payment on his 20-year mortgage is $2,636.72 and he will refinance...
-
investors have chosen to invest in the following portfolios: Investor Portfolio Expected Return Standard Deviation Alice A 2% 0.4% Brad B 4% 0.6% Candice C 5% 0.3% Doug D 7% 0.5% Emma E 9% 0.45%...
-
assume the direct cost of manufacturing is 50% of sales, 30% is attributed to employee salaries, and profit accounts in 20%. further assume through better planning we can reduce the cost of...
-
Show that the sum of the roots of a quadratic equation is - b/a.
-
Refer to the Conservation Ecology (Dec. 2003) study of the causes of forest fragmentation, presented in Exercise 2.166 (p. 97). Recall that the researchers used advanced high-resolution satellite...
-
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
-
ABC Corp., a US corporation, purchased goods on credit from a British company on April 8, 2007. ABC made a payment of 10,000FC on May 8, 2007. The exchange rate was $1= FC .50 on April 8 and $1= FC...
-
Which of the following groups should be the focal point of a company's strategy? MulABC Inc. produces a single product, In doing so, the company incurs overhead costs as follows: Indirect Factory...
-
When capturing and documenting system audit requirements for an IT project, the teams is focused on capturing the following
Study smarter with the SolutionInn App