On a sphere a sum of all angles of a triangle is larger than T. What is the largest possible sum of all angles of a triangle on a sphere? What is it for a triangle on a hemisphere?

Q: The corner cupboard shown below has 3 circular shelves that each have 270° of usable space. If…

A: Although the figure is not shown, we will solve using the given data.

Q: A cuboid has a square base of side (2 + 3)cm and a volume of (16 + 9 3)cm³. Without using a…

A: It is given that, A cuboid has a square base of the side 2+3 cm and Volume of 16+93 cm3. Without…

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

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Q: a cube with side 2cm,how many of such cubes can be packed into a cylindrical containerwith height…

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Q: An artist joined three square regions at their vertices to create the figure shown in the diagram.…

A: Given

Q: box with no top is to be constructed from a piece of cardboard whose length measures 6 in. more than…

A: First considered length and width and use volume formula of rectangular box

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular…

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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: The hypotenuese of an isosceles right triangle is 9 inches. The midpoints of its sides are connected…

A: Given: In isosceles right-angled triangle, hypotenuse is 9 inches and the midpoint of each sides…

Q: A rectangle is inscribed in a semicircle of radius R so that one side of the rectangle lies along a…

A: To find the largest possible perimeter

Q: If there are 7 distinct points on a plane with no three of which are collinear, how many different…

A: The number of ways r items can be selected from n distinct items is equal to Cn, r. The formula for…

Q: 3. Find the sum of the interior angles of a regular pentagon.

A: Given,           Regular pentagon.

Q: 2 A cube of side 125 cm is painted red on all the faces and then cut into smaller cubes of sides 25…

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Q: In the figure, there are infinitely many circles approaching the vertices of an equilateral…

A: Introduction: An equilateral triangle is a triangle which has sides of equal lengths. If we draw a…

Q: Suppose three squares of uniform thickness are made of gold plate and you are offered either the…

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Q: 1. A rectangular window has a length that is 18 inches more than its width. If its perimeter is 180…

A: Let width of the rectangular window be w (in inches).Since length is 18 inches more than width,so…

Q: How many liters of paint are needed to paint the exterior wall of an astronomical observatory…

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Q: 2. The Polygon Exterior Angle Sum Theorem states the sum of the measures of the exterior angles of a…

A: We have to calculate the sum of exterior angles of polygon.

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular…

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: Will the ladder be long enough to reach the bottom of the window (the base of the ladder cannot be…

A: We have to find that if the length of ladder would be long enough to reach the bottom of the window.

Q: sts, each 80 feet tall, are erected on opposite corners of a ground. The posts are 160 feet apart.…

A: The height of two poles erected opposite each other is = 80 feet.  The distance between to poles =…

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

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Q: An isosceles triangle has a base that measures x + 2 with legs that measure 4x - 3 and 2x + 5. What…

A: In an isosceles triangle, the measure of both the legs should be equal.

Q: 3.

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

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

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

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Q: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

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Q: A circle has a radius of 16 inches. In it is inscribed an equilateral triangle. In the triangle is…

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Q: If the area of a triangle with vertices (5,2), (k, 4), and (0, -3) is 12 ½, solve for the possible…

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Q: a box is made from a tin sheet 7 in. square by cutting out identical squares from each corner and…

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Q: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you…

A: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you check…

Q: Suppose that the length of the edge of a cube is doubled. Which of the following is NOT a true…

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Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Given problem:- A rectangle is to be inscribed in an isosceles right triangle in such a way that one…

Q: (3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a…

A: Given bottom rung = 49 in Top rung = 19 in Each rung is 2.5 inches shorter than the one below it.

Q: 1-A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A: As per the bartleby guidelines for more than one question only one has to be solved ,please upload…

Q: The angles in each of two triangles are in G.P. The least angle of one of them is three times the…

A: Given: Consider two triangles are△ABC and △abc The angles in each of the two triangles are in G.P. A…

Q: A gopher has dug holes in opposite corners of a rectangular yard. One length of the yard is 6.5…

A: We will find the width.

Q: 6. (a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as…

A: here we have right angle triangle so one angle must be 90`. so let triangle is ABC and angle B is…

Q: A box with no top is to be constructed from a piece of cardboard whose length measures 10in. more…

A:

Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular…

A: Given that an aluminium box container is in the shape of right circular cylinder and has capacity of…

Q: The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of…

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Q: The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: a. What is the largest number of nonoverlapping triangles that can be found in the diagram? b. What…

A: As per the diagram, the total number of non-overlapping triangles are 9. This includes 5 triangles…

Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A: A 5 cm cube is cut into as many 1 cm cubes as possible. Length of an edge of larger cube is 5 cm and…

Q: rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths.…

A: Area of rectangle= length×width For the maximum area will occur when the derivative of the area is…

Q: n open box is formed from a rectangular piece of cardboard that is 5in longer than it is wide, by…

A: Assume width  of cardboard=x length of cardboard=x+5 after removing square of 3 inch from side…