A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman window is to be 20ft., what should the radius of the semicircle and the height of the rectangle be so that the window will admit the most light?

Q: A woodcutter determines the height of a tall tree by first measuring a smaller one 125 ft away, then…

A: Let x be the height of the taller tree.

Q: The barn is symmetrical. On each side of the barn, we have "roof A" and "roof B" which are both…

A: Given query is to find the area of roof B.

Q: If the height of an equilateral triangle is 7/3, then the length of its side is

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Q: A water tank is 15 meters long and its sides have the shape of isosceles triangles with height 3…

A: base of the triangle = 216 - 9 =2 6 The dark blue part shows the amount of water in the tank at t…

Q: 1) The diagonal of a square is 5/2 ft, find the area of the square.

A: We know that all four side of the square is equal. Area of the square is the square of the length of…

Q: A Norman Window has the shape of a rectangle beneath a semicircle. Your neighbor is designing a new…

A: A Norman Window has the shape of a rectangle beneath a semicircle. Norman Window with a perimeter of…

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

A:

Q: Circle O has a diameter of length 20 cm. Chord AB has length 12 cm, and chord CD has length 10 cm.…

A: Take the right angle triangle OPA and apply the paythagours theorem,…

Q: Use Pitiscus' law of cosines to find the third side of a triangle having sides of length 6cm and 8cm…

A:

Q: A strip of masking tape is placed around the edges of a rectangular window prior to painting its…

A: Area covered by the masking tape divided by width of the tape gives the length of the tape used .

Q: A picture frame is in the shape of a square with a circle removed from the centre. If the radius of…

A: Given, a picture frame is in the shape of a square with a circle removed from the centre. if the…

Q: an equilateral triangle has a side initially 6m in length. One of the triangle's sides is oriented…

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Q: 2. If the slant height of the cone is 16 cm and the total area is 120t sq. cm., find the height of…

A: Let's find.

Q: The area of a trapezium is 35cm square. Find it's altitude if the bases are 6cm and 8cm.

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Q: The playground is 15 4/5 ft. longer than it is wide. If the perimeter that requires fencing is 177…

A:

Q: What is the perimeter of an equilateral triangle whose area is 75/3' sq. cm? A person standing 40 ft…

A: We have to solve the given question .  Area of equilateral triangle is √3a2/4

Q: A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same…

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