In the figure there are infinitely many circles approaching the vertices of an equilateral triangle, each circle touching other circles and sides of the triangle. If the triangle has sides of length $1,$ find the total area occupied by the circles.

Q: Find the area of a regular pentagon with an apothem of 3.45 in. and a side of 5 in.

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Q: . Each of the vertices of section ABCD is at the trisection of the edges of the cube as shown. Find…

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Q: A triangular lot ABC, whose side AB and AC has a length of 8m and 5m, respectively. Side DA is 3m…

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Q: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

A: Let ‘x’ be the original length of the square cardboard.

Q: The diagonals of a trapezoid divide the trapezoid into four triangles. Let P_1, P_2, P_3, P_4 denote…

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Q: 1) How many of the given shape will cover the above octagon?

A: Let's find.

Q: Hence, or otherwise, find the area of the triangle in the form p/3 - q, where p and q integers.

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Q: If the side of the cube is 2 cm , then the surface area of the cube is. O 24 sq. cm. O 48 cubic cm.…

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Q: If the length of each edge of the cube shown in the figure is 4 inches, find the following.   (a)…

A: Refer to the diagram in the question,As mentioned the edge of the cube is 4 inches and we know that…

Q: 5. Find the area of the section ABCD as shown in the figure if A, B, C, and D are one-third from the…

A: Given:   Figure is given

Q: 11. An open-top box is to be made by cutting small congruent squares from the corners of a 12" by…

A: Let, the square cut from the corners are h×h inches. Now, the open box will have the height h, the…

Q: A cube has a net with area 216 in. How long is an edge of the cube? The length of an edge is in.…

A: Area of square = side2 We know that a cube has 6 square faces.

Q: 38. What is the area of a square that has a radius of 5√2 ft (from the center of the 20 square to…

A: Topic = Area

Q: Each edge of the cube measures 4 inches in length. G. 3D ET C. What is the distance, in inches, from…

A: Given each edge of cube measures 4 inches in lengthi.e AB=BC=CD=AD=EF=FG=GH=HEHE=EA=HD=FB=GC=4Now we…

Q: Find the area of each regular pentagon in this terrarium if each edge is 6.0 in and each apothem…

A: formula:

Q: 9. 2-y -1 2 -2

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Q: The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of…

A: Given that The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the…

Q: What would be the volume and surface area of the figure if each side cube of butter has a side…

A: Solve for surface area and volume of given figure.

Q: Find the area of a pentagon with an apothem of 7.3 and a side length of 10.6.

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Q: In right AABC with right ZC, AB = 17 and BC = 15. Find the length of MN if M and N are the midpoints…

A: Given a right angle triangle ∆ABC , AB=17 and BC=15 to find the length MN.

Q: Five circles are placed in a rectangle as shown. If the length of shorter side of rectangle is 1.…

A: Given that, The length of the shorter side of the rectangle is 1: So,   Consider, the diameter of…

Q: If a figure is not a rectangle, then its area cannot be found. O True O False

A: NOTE: Refresh your page if you can't see any equations. . the given statement is  if a figure is not…

Q: A: For each regular polygon with the stated number of sides, find: a) the sum of all interior angles…

A: We have to find the sum of all interior angle , each interior and exterior angle and each central…

Q: Each of the vertices of section ABCD is at the midpoint of the edges of a cube. Find length of the…

A: Let the length of the cube is x. Ax2, 0, x, B0, x2, x, Cx2, x, 0, Dx, x2, 0…

Q: 65. Show that the maximum area of a parallelogram ADEF that is inscribed in a triangle ABC, as in…

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Q: The dimensions of home plate at a random baseball field in the United States are shown. Find the…

A: Given :- The dimensions of home plate at a random baseball field in the united states.

Q: Which is the possible length of the base of a parallelogram if the area is given by

A: Given: Area of Parallelogram=20x5-23x4-41x3+35x2+40x-70Height of Parallelogram=4x-7 To Find: Length…

Q: If the length of each apothem of a square is a, then the length of each side is 2a.

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Q: A cube has a net with area 54 in. How long is an edge of the cube? The length of an edge is in.…

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Q: In 2D, the intersection of x=7 and p=1.79 rad is

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Q: The area of a regular polygon with apothem a and perimeter p is given by the formula A = ap. %3D O…

A: a denote the length of an apothem  p denotes the perimeter

Q: A cyclic quadrilateral ABCD is inscribed in a circle whose sides AB-10cm, BC-20cm, CD-30cm and…

A: By Ptolemy's theorem,  We know that, in a cyclic quadrilateral, the sum of product of the two pairs…

Q: 2. -2 -2- 2 y=√√16-1²

A: It is clear that y=16-x2 is an equation of the semicircle as shown in the graph. We have to find the…

Q: In the figure below, the shape is completed by combining a regular hexagon and a square with its…

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Q: 5. Find the area of the section ABCD as shown in the figure if A, B, C, and D are one-third from the…

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Q: 6. Acircle is circumscribed about a regular triangle. A second circle concentric to the first is…

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Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: in the formula for area of a circle A = π r² , solve for r

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Q: Suppose that an open box is to be made from a square shest of cardboard by cutting out squares from…

A: The box that has been made is in the shape of a cuboid. Volume of cuboid (V) is given as  V=l*b*h…

Q: The sum of the exterior angles of any polygon total 360°. O True False

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Q: Each child in a class is at least 110 centimeters tall and at most 142 centimeters tall. How large…

A: Given: Lower limit of height of a child (a) = 110 Upper limit of height of a child (b) = 142…

Q: Suppose the apothem of a pentagon measures to be 8.4 units and each side of the pentagon measures to…

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Q: The radius of a square is 2 in. Find the perimeter, apothem, and area of the square.

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Q: From a 24-cm by 24-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given that: Size of paper = 24cm x 24cmSize of the cut = xcm

Q: A trapezoid is reduced in size by multiplying each of its dimensions by 12. Based on this…

A: Topic- perimeter of  trapezoidal

Q: Consider the pentagon  How many non-overlapping triangles can an n-sided figure be split into?

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Q: 4 in 6 in Which set of dimensions corresponds to a rectangle similar to the one above? A. 5 in x 10…

A: If corresponding sides of two rectangle are in same ratio then rectangles are similar

Q: Given a rhombicuboctahedron with 4/2 as the diagonal length of a square face, the sum of the areas…

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Q: Given right AABC with AC = 8 and BC = 10 , what is the exact area of the largest rectangle (by area)…

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