A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see the figure below). If the perimeter of the window is 11 meters (shown in magenta in the figure), determine the horizontal width of the window (shown in cyan) that will let the most sunlight in.

Q: A semielliptic archway has a height of 20 feet and a width of 50 feet, as shown in the figure. Can a…

A: Given that, A semielliptic archway has a height of 20 feet and a width of 50 feet. Find an ellipse…

Q: Is the following statement always true, sometimes true, or never true? Justify your response. Given…

A: Here we describe the given statement problem.

Q: Find the exact perimeter and area of the segment shown, given that m20 = 60° and OA = 12 in.

A: we have to find exact perimeter and area of the segments.

Q: Given four trapezoids of width 1, calculate the size of the shaded zone.

A: Introduction: The trapezoidal rule, also known as the trapezoid rule or trapezium rule, is a…

Q: Shown below is the regular 10-sided figure from above along with a related isosceles triangle.…

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Q: In circle E, AB | CD and BC is a diameter. 2. If mAC = 4x + 5 and mBD = 2(x + 20), what is m/ABC? A…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

A: Every cross section of a drainage ditch is an isosceles trapezoid with a small base of 3 feet and a…

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 90°…

A: Th measure of each interior angle of a regular polygon of side n is given by I=n-2180°n. The measure…

Q: The sides of a bigger polygon are 4 m, 6 m, 7 m, 13 m, and 18 m. A similar smaller polygon has a…

A: Ratio of the perimeter is tha same as the scalar factor.

Q: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long.How long is the other diagonal?

A: Explanation: Given a rhombus: Perimeter of Rhombus = 40cmLength of one diagonal = 12cm Formula used:…

Q: In the diagram of AABC below, DE || AB. C A If CD = 4, CA = 10, CE = x + 2, and EB = 4x- 7, %3D %3D…

A: We have given DE||AB in ∆ABC Then, By the triangle proportionality theorem: If a line parallel to…

Q: Can a cube of volume 5 be constructed using only an unmarked straight- edge, a compass, and a unit…

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Q: A circle has a diameter of 28 - A trapezoid has bases x and (x+2) and a height of 4.

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Q: Aglass coffee tabletop is essentially square but has rounded circular corners, as shown. Find its…

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Q: If a sector of a circle has arc measure 120°, then its area equals one-third the area of the circle.…

A: Solution is below

Q: Find the base a of an isosceles triangle with the legs b such that the inscribed circle has the…

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Q: Provide the formula with corresponding diagram of the following; Area of plane figures: 1. Square 2.…

A: Note: As per company policy we are supposed to solve only 3 subparts. So, kindly repost other…

Q: A quadrilateral ABCD is inscribed in a circle, if AB = 90 cm, CD =70 cm, = 101.76 cm. respectively.…

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Q: Given the edge of a square is about 100 cm, by how to measure it such that the

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Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

Q: . Heron also derived the following formula for the area of an inscribed quadrilateral with sides a,…

A: Sides of a isosceles trapezoid are a=10, b=10, c=10 & d=20. Now semi perimeter is,…

Q: Line B, shown, bisects the corner of rectangle A. If ∠D measures 52°, then ∠C measures

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Q: The semielliptic archway has a height of 20 feet and a width of 50 feet, as shown in the figure. Can…

A: We have given semielliptic archway has a height of 20 feet and width of 50 feet.

Q: A rhombus has sides that measure 4ft. each. If its smaller angle measures 40°,how long would be the…

A: For a rhombus, the diagonals are: The angle bisectors. Perpendicular to each other. Bisect each…

Q: Find, to the nearest degree, the angles that a diagonal of a box with dimensions 10 cm by 15 cm by…

A: Given: A diagonal of a box with dimensions 10 cm by 15 cm by 25 cm makes with the edges of the box.…

Q: A factory is to be built on a lot measuring 102 ft by 136 ft. A local building code specifies that a…

A: Let the lawn will be of x feet in width.  so the length of the factory= 136-2x and width=102-2x

Q: a. Cheops Pyramid in Egypt b. Muttart Conservatory in Edmonton Side = 230 m, Slant height =186 m…

A: Surface Area = b2 + 2bl A = Area of base b=length of base l = slant height   Volume of pyramid =…

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

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Q: A factory is to be built on a lot measuring 240 ft by 320 ft. A local building code specifies that a…

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Q: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: We have a quadrilateral LIKE in the shape of a kite. LI¯≅IK  and LE¯≅KE It looks like: Part(a) We…

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: The formula for the area of rectangle is length x width.

Q: An isosceles trapezoid has base angles of 45 degrees and a perimeter L (Figure 19a). What is the…

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Q: In the accompanying diagram, AABC is not isosceles. Prove that if altitude BD were drawn, it would…

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Q: 5 cm -- -- ----

A: Given: An equilateral triangle side is 5 cm that it's distance from the triangle is 2 cm.

Q: A target with a black circular center and a white ring of uniform width is to be made. If the…

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Q: The radius of circle B is 15 cm. If m arc AC = 50°, what is the area of sector ABC?   A. 97.14…

A: The solution is given in the next step.

Q: A factory is to be built on a lot measuring 300 ft by 400 ft. A local building code specifies that a…

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Q: A rectangle is the polygon whose formula for area is most similar to that of a parallelogram. O True…

A: Topic:- parallelogram and rectangle

Q: 9. Find the perimeter of AAEC if AF = 11 cm, FE = 15 cm and DC = 16 ст. %3D F E B.

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Q: In isosceles AABC, ZB is obtuse and CH is an altitude as shown. Find the perimeter of AABC if CH =…

A: Given: ∠HBC = ∠BAC +∠BCH Let ∠BAC =x and ∠BCH =y Since, ∆ABC is isosceles, therefore ∠BAC = ∠BCA ⇒…

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: A pentagon with sides 3 m. 4 m. 5 m. 6 m. and 7 m has area 48 m2 Find the perimeter of a similar…

A: A pentagon is a polygon with five sides and five angles. Perimeter of a polygon equal to sum of…

Q: What length of wire will Marcus need to attach the top of the latticework to the ground? (Image…

A: Given data: The height of both rectangle is y=12 ft. The distance of wire from base is x=9 ft.

Q: A cube whose edge is 20 cm, find the distance from point 0 to the midpoint of edge AB. B E He

A: question of geometry  here we use the right angle triangle formula  get the answer answer is given…

Q: A drawbridge that is 136 ft in length is raised at its midpoint so that the uppermost points are 16…

A: The figure is illustrated below:

Q: A 16-foot monument is composed of a rectugular prism and square pryamid as shown in the diagram.…

A: Surface area of the base square=6×6=36 feet2. Surface area of each rectangle side is =10×6=60 feet2.…

Q: A construction company frequently builds garages with an arch over the garage, similar to the one in…

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Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

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