Suppose that we are given a cube with edges 12 centimeters in length. Find the length of a diagonal from a lower corner to the diagonally opposite upper corner. Express your answer to the nearest tenth of a centimeter.

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Q: A regular 5-sided building is 840 feet along one side. What is the distance from a vertex to the…

A: For a n-sided polygon, the central angle, θ is calculated using the formula θ=3600n .

Q: If each edge of the cube is 3 Feet long, how long must the support board be?

A: Using diagonal formula for a cube,we get

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A: The circumference of a circle is  2·π·r where r is the radius of the circle.   Radius of the circle=…

Q: If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long, how long is…

A: Given, If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long,…

Q: If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the

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Q: Each edge of the cube measures 4 inches in length. what is the distance, in inches, from vertex B to…

A: In Geometry, a cube is solid 3D figure, which has6 square faces, 8 vertices and 12 edges. or we can…

Q: If a carpenter wants to make sure that the corner of a room is square and measures 8 ft and 15 ft…

A: A carpenter wants to make sure that the corner of a room is square and measures 8 ft and 15 ft along…

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a  depth of 3…

A: Given a rectangular pool of length 50m, width 25m and a depth of 3m. A client wants to build a pool…

Q: Calculate the perimeter of a regular pentagon if the length of each side is 17.

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Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: What is the length of the diagonal of a 10cm by 15 cm rectangle?Draw a picture using pythagorean…

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Q: Find the length of an altitude of an equilateral triangle if each side is 10 in. long.

A: Given: The length of each side of equilateral triangle is 10 in. long. To find the length of an…

Q: If the height of an equilateral is 10/3, the length of each side is

A: Given  Height of a equilateral triangle =103

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: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: This is a right triangle with dimensions in centimeters. If θ = 41∘, what is the length of x to the…

A: Given: A right angle triangle with the length of hypotenuse 33 cm and θ=41°. Aim: To find the…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

Q: suppose your tower has 100 stories how many cube faces will you paint?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If the height of an equilateral triangle is 5/3, then the length of its side is

A: Given : Height = 5√3

Q: Find the area of a square with diagonals of length d

A: Given: Length of diagonal = d To Find: Area of square

Q: 9. Find the dimensions of the rectangle that has a length 3 meters more than its width and a…

A: As per bartleby guidelines we're adviced to answer first question at a time, kindly repost the other…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: Let a and b the width and length of the fence Draw the diagram by representing a and b

Q: Find the perimeter of a regular hexagon whose distance from its center to a vertex is 12 inches.

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Q: A wall that is 12 ft long by 8 ft high has a triangular brace along the diagonal. Use a calculator…

A: pythagorean formulaa2+b2=c2a and b are the legsc is the hypotenuse(diagonal)

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Q: 5. Write a formula for the perimeter of the figure from problem #4 in terms of a, b, c, and d.

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Q: Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120 cm²

A: Given,  Hypotenuse of right angle triangle = 26 cm Area of right angle triangle = 120 cm2   We have…

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A: In the given question we have to maximize the area .

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A: Let the side of square is x inches.aince area of square is given ,we can calculate side of square

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A: Size of the computer screen is measured to be 14 inches ×11.5 inches and we need to find out the…

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Q: If the size of the cake is equal to one, what is the area and thickness?

A: Here we should assume the shape of the cake since it is not given. Here size we will take in the…

Q: What happens to the inscribed polygon as the number of its sides increases?

A: topic - polygon

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Q: If the surface area of a cube is increased by 96%, by how much has the edge increased?

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Q: If ZA = 70°, ZB = 45°, and a = 5 cm, then the length of b, to the nearest hundredth of a centimetre,…

A: Given in triangle ABC∠A=70°,∠B=45°, a=5 cm

Q: 1) Find the approximate distance that will be saved by walking diagonally across a field 450 meters…

A: Given: For a field lengthl and breadthb are respectively 450m and  250m We know that for a…

Q: 1. Construct a segment whose length is twice the length of MN.

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Q: Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 c…

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Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

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

Q: If the perimeter of a pentagon is 2m then what is the width

A: Perimeter of a Pentagon = 2m Width of the pentagon = ?

Q: If the shortest leg of a 30-60-90 right triangle measures 6 v3 cm, what is the exact length of the…

A: Given triangle,

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.