A Norman Window has the shape of a rectangle beneath a semicircle. Your neighbor is designing a new house and would like a Norman Window with a perimeter of 20 ft that will let in the most light (that is, have the largest possible area). What should the height of the rectangle and the radius of the circle be to allow this?

Q: What possible dimensions below could produce a rectangular field with area of 450 ft2. O 15 ft x 40…

A:

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 16 feet beneath ground…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: We need to determine the radius of semicircle and height of rectangle.

Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in  Length = (12-2x) in…

Q: There are two circles. The diameter of the first is 12 in. and the area of the second is 2- times…

A: Let d and A1 be the diameter and area of first circle and D and A2 be diameter and area of second…

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: What possible dimensions below could produce a rectangular field with area of 450 ft2. O 8 ft x 46…

A:

Q: How far from its center should a grapefruit with a 5-inch diameter be sliced in order that both…

A: We have given

Q: a right prism has a regular pentagon of side 5cm as its base with an altitude of 20cm. find the area…

A:

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a  depth of 3…

A: Given a rectangular pool of length 50m, width 25m and a depth of 3m. A client wants to build a pool…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: This is a problem of the maxima and minima concepts. For admitting most light into the window its…

Q: A 10 in long wire is to be cut into two pieces. One piece will be bent to form a square and the…

A:

Q: A circle has an area of 144 cm^2 is cut into two segments by a chord that is 9 cm from the center of…

A: Given: The area of the circle is 144π cm2 here you doing typing mistake , area should be 144π if…

Q: A right square pyramid has a slant height of 5 feet, and the length of a side of the base is 6 feet.…

A: Here we use Pythagoras theorem given as (Hypotenuse)2 = (Perpendicular)2 + (Base)2

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: (a) Given: Height of truck=12 feetWidth of truck=8 feetClearance between both trucks=3 feetVertical…

Q: A Victorian building has one room in the shape of a rhombus with a ceiling height of 10.0 ft, shown…

A: The room is in the shape of a rhombus with Base=9 ft 7 inches=9×12+7 inches, since 1 ft=12…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: we should find the height of the rectangle such that the window will admit the most light.

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 16 feet beneath ground…

A: Explanation and solution is given below.....

Q: A 0.500m long hexagonal concrete shaft measuring 20.0cm across the corners has a triangular hole…

A: Given data :  Length of the shaft , h = 0.500 m                                      = 50 cm  side…

Q: (a) Find the smallest perimeter possible for a rectangle whose area is 25in? and what are its…

A: Due to q & a guidelines I will answer for only 1st question

Q: The cage containing exotic birds is in the shape of a pentagonal prism. If the side length is 17…

A: We will solve the following.

Q: A cuboidal box of dimension 1 m * 2m * 1.5 m is to painted except its bottom . Calculate how much…

A:

Q: What is the surface area of this square pyramid with a base length of 5 meters and a slant height of…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: Solution )

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: Given the perimeter of the window is 336 cm. According to the given structure, perimeter is:…

Q: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r^3 oz of water when it is…

A: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r3 oz of water when it is…

Q: When a right angle is rotated about one leg, the volume of the cone produced is 800 cm³. When the…

A:

Q: TRUE OR FALSE: The perimeter of an isosceles trapezoid can be calculated even if the only given are…

A: We have to consider the given statement is true or false according to the given condition

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Given: The length of the wire is 20 ft. The wire is cut into two pieces. Let the length of the first…

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 10 feet beneath ground…

A: The work is:-

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A:

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

Q: A goldsmith designed a trapezoidal pendant as shown in the figure below. If x, the perpendicular…

A:

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

A:

Q: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A: Given that three squares are arranged such that a right angled triangle PBD is formed. We need to…

Q: On a flat surface of land, geolo-gists drilled a borehole straight down and hit a mineral deposit at…

A:

Q: 6. Find the difference of the areas of a square and a semi-circle if the square is inscribed in the…

A:

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: Let radius of semicircular tunnel be r, then its diameter will be 2r. Given: Height of truck=12…

Q: An Ice cream cone is 10 centimeters deep and has a diameter of 8 centimeters. A scoop of ice cream…

A:

Q: A dog trainer has 70 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Explained below...

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A: Given:- An architect is designing a composite window by attaching a semicircular window on top of a…

Q: If x = 15.5 cm. and z = 23.8 cm., then the LATERAL AREA of the square based pyramid is _____cm2.…

A: The answer is found in step-2

Q: Is a Het for a triangular pyramid. 12.12 cm 14 cm If all the triangles are equilateral, what is the…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A:

Q: Golf balls are usually dimpled.  Does a dimpled golf ball have more surface area than a smooth golf…

A: Dimples reduce the drag exerted on the ball. A dimpled ball experiences about half of drag…

Q: The quadrilaterals ABCD and PORS are similar. Find the length x of QR.

A:

Q: The outer circle of the driveway has a diameter of 30 feet and the inner circle of the driveway has…

A: Area of circle

Q: what is the surface area of the new box? What is the difference of the surface areas?

A:

Q: Consider a right triangle whose hypotenuse has a length of 53 in. If one leg is 17 in longer than…

A: Given: Length of 53 in One leg is 17 in