A drawbridge that is 178 feet in length is raised at its midpoint so that the uppermost points are 18 feet apart. How far has each of the midsections been raised?

Q: A piece of wood in the form of an isosceles triangle whose base angles measures 55°. If the length…

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Q: A baseball diamond is a square. It has 75 feet away from each base.how far the ball will go if the…

A: The baseball diamond is a square. So, we have a square of side 75 feet. To go from the first base to…

Q: . An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If…

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Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Length of the ladder = 35 foot Base of the ladder is 21 feet from the base of the building. We can…

Q: A design at the entrance to the jaguars is made up of 8 isosceles triangles. If the legs of each…

A: Topic- perimeter of isosceles triangle

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothens? Of…

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Q: Two chords of a circle measuring 40 m and 68 m are perpendicular to each other. If the 68-m chord…

A: Topic - circles

Q: Two vertical poles, 20m and 80m tall respectively, stand apart on a horizontal plane. Join the top…

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Q: A design at the entrance to the jaguars is made up of / isosceles triangles. If the legs of each…

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Q: A girl used a ladder 6m long to climb the top of a dike whose sides are inclined 42 degrees with the…

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Q: In what way does the length of the summit of a Saccheri Quadrilateral compare with the length of its…

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Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

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Q: If the altitude of an isosceles triangle is 59 centimeters and each of the two equal angles measures…

A: Given that  The altitude of an isosceles triangle is 59 centimeters and each of the two equal angles…

Q: Find the lengths of the apothem and the radius of a square whose sides have length 10 in.

A: Consider the square: Here AB= BC = CD = DA = 10 in OE = EB = 5 in. Where O is the center.

Q: A trapezoidal lawn has an upper base of 16 meters and a lower base of 30 meters. the distance…

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Q: Two regular octagons have perimeters 16 cm and32 cm, respectively. What is the ratio of their areas?

A: Given the perimeters of the reegular octagons are 16 cm and 32 cm. Thus for the first regular…

Q: .Into a circle of radius 82 inches is an inscribed square, to that square is an  inscribed circle,…

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Q: A trapezoid has area 54 and height 6. How long is its median?

A: Given: Area of trapezoid =54 Height of trapezoid =6

Q: . The angles of an oblique parallelepiped are equal to the corresponding angles of another…

A: Angle of Parallelepiped 1 = Angle of Parallelepiped 2Side of  Parallelepiped 1 =3 side of…

Q: If the radius of one circle is 6 times the radius of another, what is the ratio of their areas? Of…

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Q: The perimeter of an isosceles triangle is 32 cm. If the length of the altitude drawn to the base is…

A: Consider the diagram of the isosceles triangle, it is given that the perimeter of the triangle is…

Q: The approximate perimeter of a polygon with 20 sides and a radius of 24 feet is 150 feet. true…

A: Formula for perimeter,              P=na, where n=number of sides and a=side length              a=…

Q: An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg?

A: In a right triangle, the relation between legs a and b and hypotenuse h is states as follows:…

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: If the circumference of the circle is 473T ft, how long is the radius of the circle?

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Q: Find the distance from the circumcenter to each vertex of an equilateral triangle whose sides have…

A: The sides of the equilateral triangle is given to be 10. From figure, A, B and C are the vertices…

Q: The perimeter of a square is no less than 72 centimeters. How long can a side be?

A: The perimeter of a square of side x is given as, P=4x Given information: It is given that the…

Q: Find the lengths of the apothem and the radius of a hexagon whose sides have length 6 cm. regular

A: Given, Polygon is a regular hexagon, The length of the side of the polygon is 6 cm.

Q: Find the length of the common chord of two circles of radil 25 inches and 26 inches, respectively,…

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Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: A square park had a diagonal walkway from one corner to another. If the walkway is 120 meters long,…

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Q: The diameter of the base of a right circular cone is equal in length to the slant height. If the…

A: Let h be height of cone , l be the slant height of cone and r be radius of cone.  Given that, the…

Q: A circle has a radius of 10 cm. How far from the center is a chord that is 7 cm long?

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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: A trapezoid has an area of 96 cm?. If the altitude has a length of 8 cm and one base has a length of…

A: Trapezoid: Assume that the length of the altitude between the two bases be h=8 cm, Length of the one…

Q: A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are 8…

A: Given, L=1042=52, x=8 if its raised from midpoint then horigontal distance: D=52-4D=48 now find…

Q: If the minute hand of a clock has a length of 6 inches, how far does its tip travel in 18 minutes?

A: The minute hand of a clock has a length of 6 inches

Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothems? Of…

A:

Q: Two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. Which length must be the…

A: Given that, two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. We have to…

Q: Find the area of an equilateral triangle with an apothem having a length of 4 feet. Round to the…

A: The area of equilateral triangle with an apothem having a length of 4 feet is 83.1 feet2 The answer…

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given figure:-

Q: A design at the entrance to the jaguars is made up of 10 isosceles triangles. If the legs of each…

A: First of all calculate length of 1 triangle then multiply by 10

Q: he corners of a 2-meter square are cut off to form a regular octagon. What is the length of the…

A: Given : The corners of a 2-meter square are cut off to form a regular octagon.   To find the…

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 City park is in the shape Of a trianale where the Sides have lengths 11 131m, and 154m.If a fence…

A: Triangle with sides of length 161 m, 131 m, 154 m.

Q: A 60 foot ladder needs to reach a window that is 47 feet off the grounf. How far away, to the…

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Q: In a circle whose radius has length 12 m, the length of an arc is 67 m. What is the degree measure…

A: Arc length =2πrθ360

Q: From the point inside the square the distance to three comers are 4, 5, and 6 cm respectively. Find…

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Q: A rectangular rug is 30 feet long and 16 feet wide. A rhombus design is formed inside the rug by…

A: A structure obtained by joining the midpoints of a rectangle will always gives a rhombus. a rhombus…

Q: A 13 foot ladder leaning against a building meets the side of the building exactly 12 feet above the…

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