True or False The Law of Cosines states that the square ofone side of a triangle equals the sum of the squares of theother two sides, minus twice their product.

Q: The incenter of a triangle is equidistant from its sides. true or false?

A: Ans--- TRUE  The incenter of a triangle is the point on the interior of the triangle that is…

Q: A rectangular field measures 72 meters by 162 meters. What will it cost to cover the field with…

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Q: A rectangle is to be inscribed in a semicircle with radius 3.4 with one side on the semicircle's…

A: According to question.Given,Radius of semicircle = 3.4 unit

Q: 3. A wire with length Lis cut into two parts. Each part is bent to form a square. If the areas of…

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Q: A right triangle's height is 2 times the length of its base. If the area of the triangle is 36, what…

A: Consider the given information about the right angle triangle:

Q: A rectangle has a base of 16 inches and an altitude of 8 inches. Find the dimension of the largest…

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Q: Suppose you arrange six soda cans with two cans wide by three cans long (like a sixpack). Each can…

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Q: In the 1939 movie The Wizard of Oz, upon being presented with a Th.D. (Doctor of Thinkology), the…

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Q: A building lot for sale in the city is in the shape of a right triangle, as shown to the right. The…

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Q: True or False In elliptic geometry, the sum of the measures of the angles of any triangle is less…

A: We have to use postulate of elliptic geometry to solve the problem

Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

A: Given: S=FD2             →(1)   for guard 1 &   S=116            →(2)  for guard 2 To calculate…

Q: A triangle has a base 15 feet long and an altitude 10 feet high. Find the area (in square feet) of…

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Q: Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a…

A: Given:

Q: In a right triangle the altitude corresponding to the hypotenuse divides the hypotenuse into an 8 cm…

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Q: The altitude of a right triangle that meets the hypotenuse at a right angle divides the triangle…

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Q: A diameter and a chord intersected inside a circle. The point of intersection divides each of the…

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Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

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Q: A truck has to pass under an overhead parabolic arch bridge 20 meters and is 16 meters high. If the…

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Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

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Q: A box-shaped observation terrarium is to be constructed where: the base, left, and right sides of…

A: The sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right The…

Q: Find the distance between the pair of points(2√3, √6) and (-√3, 5√6). Ifnecessary, express answers…

A: we know that distance d between given two given points x1,y1, x2,y2 is given by d=x2-x12+y2-y12

Q: 2. Show that the sum of the squares of the distances of the vertex of the right angle of a right…

A: In this sum we are going to use the Pythagorean theorem and the concept of similar triangle.…

Q: A diagonal of a square has length 8. What is the perimeter of the square?

A: Consider the provided information, A diagonal of a square has length 8. Find is the perimeter of the…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

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Q: What is true when two chords intersect inside of a circle? Their intersection MUST go through the…

A: Consider a circle with two chord which intersect each other:

Q: 3.

A: Given that, There are two equilateral triangle. Area of small triangle is 64(3)1/2 m2. Distance…

Q: A rectangle is to be inscribed in a semicircle with radius 5.5, with one side on the semicircle’s…

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Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

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Q: Suppose you arrange six soda cans with two cans wide by three cans long (like a sixpack). Each can…

A: Given that 6 cans are arranged in such a way that two cans wide by three cans long. Radius of the…

Q: 4. The diagonal of a rectangle is 6 cm longer that its base. Its height is 10 cm more than one-third…

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Q: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape…

A: Red dot for gaurd 2 =(3,3)

Q: 2) Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120…

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Q: rectangular field is to be fenced into four equal parts. What is the size of the largest field that…

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Q: A ladder is leaning against a building so that the distance from the ground to the top of the ladder…

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Q: 11. The diagonal of a square is 2 times the length of one side. True False

A: We consider the square and check for the given condition

Q: If the square of the length of the inside of a triangle equals the sum of the squares of the Lengths…

A: Given, If the square of the length of the inside of a triangle equals the sum of the squares of the…

Q: and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of printed…

A: Add margins in width and height and find out area and differentiate wrt x and put zero

Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

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Q: A certain number added to its square is 30. Find the number.

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Q: The distance between the centers of three circles which are mutually tangent to each other…

A: Solution

Q: (a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

Q: 4. A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a…

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Q: the two endpoints of a bench measure 4/3x centimeters and 2/3x centimeters, then the midpoint is ___…

A: Given query is to find the midpoint, perimeter and the side  of the different shapes.

Q: If x and y are positive numbers with x > y, show that a triangle with sides of length 2xy, x2-y2,…

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Q: If the lengths of two sides of a triangle are represented by 2x + 5 and 3x + 7 (in which x is…

A: Using the triangle law we know that the sum of the two sides of a triangle must be greater than the…

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: Given that, A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up…

Q: In terms of π, how much longer is the crust on a pizza with a radius of 10 inches than the crust of…

A: The radius of one pizza is 10 inches and radius of another pizza is 5 inches. The amount of the…

Q: 3. From the main entrance of a park, there are two pathways where visitors can walk along going to…

A: Given that  The pathways are both tangent to the garden whose center is 12 m away from the entrance…

Q: 9. A swimmer orients herself perpendicular to the parallel banks of a river. If the swimmer's…

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Q: 1. One side of a right triangle is 9 cm long. The hypotenuse is 3 cm more than the other side. What…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…