An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot clearance between them and a 2-inch vertical clearance with the ceiling. a. If the trucks are 8 feet wide and 12 feet tall, what is the smallest possible radius of the semicircle?

Q: The area of a circle is 16t in. What is the radius?

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Q: What is the radius of a cylinder if the height of the cylinder is 5cm at the bottom and 6cm at the…

A: Given:      Height of cylinder at the bottom =5 cm      Height of cylinder at the top  =6 cm…

Q: Given that AB is a diameter of circle O and mAD = 130", what is the measure of ZD 130

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Q: Find the perimeter of the triangle with ver an isosceles triangle?

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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: If the diameter of a sphere is 14 cm, then what is the curved surface area (in cm?) of the sphere?

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Q: Given a trapezoid with an area of 90 ft² and bases of 15 and 21 ft, find the length of the height.

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Q: Find the surface area and volume of a square pyramid with side lengths of 24 in. and slant height of…

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Q: What is the perimeter of the regular heptagon below.

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Q: An equilateral triangle has a perimeter of 132 cm. Find the length of each side of the triangle

A: First I have written a short note about equilateral triangle, just use them and find the required…

Q: A camival equipment manufacturer states that the circular platform of a particular merry-go- round…

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Q: A regular octagon is inscribed in a circle with a diameter of 16 in. What is the perimeter of the…

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Q: If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice…

A: We have to find diameter of largest slice of pizza .i.e to maximize the area of a sector .We have…

Q: A regular decagon whose sides is 4.6 cm in length is inscribed in a circle. What is the area of the…

A: we are given that side of decagon is 4.6 cm . we need to find area of circle for which first find…

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

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Q: Find the area of an equilateral triangle if you know that the length of any of its sides is 2 In.

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Q: In the circle, the radius length is 10 in. and the length of AB is 14 in. What is the perimeter of…

A: Given that the radius of circle is 10 in and length of arc is AB⏞=14 in. That is, AO=10=OB  and…

Q: Diego built a quadrilateral using side lengths of 4 in, 5 in, 6 in, and 9 in.   Build such a…

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Q: Given that a circle and a rectangle have the same perimeter, which has the larger area?

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Q: A regular pentagon is inscribed in a circle whose radius is 18cm. Find the perimeter of the…

A: Perimeter = sum of all sides of pentagon

Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

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Q: Suppose a regular octagon is inscribed in a circle, with a radius of 18 centimeters. Find the…

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Q: Determine the area of rhombus ABDC if its perimeter is 100 cm, and the length of RB is 14 cm.

A: In this question we have to find the area of rhombus.

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: A circular garden has a radius of 21 m. The owner wants to put a  plastic edge around the garden, so…

A: To find the circumference of garden.

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We are asked to find the missing sides of the triangle.

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: The cross section of a silo is composed of an equilateral triangle, a square, a trapezoid and a…

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Q: What is the perimeter of the semicircle whose radius is 22 cm?

A: Solution:Given    r=22cmTo find the perimeter of the semicircleFormula:Perimeter of the…

Q: What kind of polygons are used to tessellate the sphere?

A: Kind of polygons used to tessellate the sphere:

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

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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: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the…

A: Given query is to find perimeter of the triangle.

Q: The owner of the Rancho Los Feliz has 2760 yd of fencing to enclose a rectangular piece of grazing…

A: In this problem, the largest area dimension is to be determined. The figure is attached in the page…

Q: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

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Q: A running track has the shape with straight sides and semicircular ends. if the length of the track…

A: Please examine the figure below that represents the running track

Q: The midpoint of all sides of square are all joined together to create another square inside it (see…

A: First we find side of bigger square using Pythagorous theorem. And follow step 2nd .

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: 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: 3.) Find the surface area and volume of a square pyramid with side lengths of 24 inches, and a slant…

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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: Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm,…

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Q: If the volume of the cylinder is 90cm3, what is the volume of the cone?   b.) If the volume of the…

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Q: For a rectangle with area 225 to have the smallest perimeter, what dimensions should it have? (Enter…

A: For the minimum perimeter of the rectangle you just need to equate the derivative of perimeter…

Q: Looking at the side of a welded metal storage bin, the shape is a trapezoid. The lengths of the…

A: We know that, Area of trapezium = (Height)(Sum of base)/2

Q: The diameter of a circle is 28 in. What is the length of the radius?

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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…