What is the maximum number of right angles a triangle can have in (a) Euclidean geometry? (b) Lobachevskian geometry? (c) Riemannian geometry?

Q: Is 3 Point Geometry a complete geometry? Explain.

A: Yes, the three point geomtry is a complete geometry.Mathematically proving the completeness of a 3…

Q: A swimming pool full of water is in the form of a rectangular parallelepiped 5 m deep, 25 m long and…

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Q: A triangle has a base of (2 - x) cm and a height of (2x + 6) cm. What is the maximum area of the…

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Q: 3. A 40-cm long car windshield wiper begins in a horizontal position at the base of the windshield…

A: This is trignometry problem

Q: A parabolic suspension bridge cable is hung between two supporting towers 120 meters apart and 35…

A: We will draw the pic of bridge and then use conic section ( parabola) to solve it

Q: An irrigation system uses a straight sprinkler pipe r=200ft long that pivots around a central point.…

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Q: When Spherius dips through Flatland, his cross section appears as a circle whose circumference is…

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Q: A right circular cone is inscribed in a cube having one edge which measures 10 cm. Find the lateral…

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Q: An architetect wants to design a semicircular tunnel so that two average trucks measuring 8 feet…

A: Given: Dimension of the truck is 8 feet wide and 12 feet tall. Horizontal distance between two truck…

Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Given the area of rectangular picnic is 8000 m2 is being constructed along the edge of a river. It…

Q: (a) If you can throw a baseball with an initial speed of 40 meters per second, at what angle of…

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Q: 3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are…

A: 3. Given: During the heat of the day, the 100 ft. bridge expands 1 inch. Now, the ends of the bridge…

Q: A wire is looped in the form of a cirde of radius 28 cm. It is re-bent into a square form. Determine…

A: After re bent into square from circle, length of wire remaining same this means perimeter of these…

Q: Create a set of 3 planes that intersect in a "Triangular Prism", as the picture shows. In other…

A: The equation of a plane is given by the formula ax+by+cz=d. The planes can be made depending upon…

Q: Considering the surface of a square, we divided each side of this square into three segments of…

A: Given problem is :   Considering the surface of a square, we divided each side of this square into…

Q: 2. A chocolate-cake is triangular in shape. Each side measures 10 inches. If the cake is subdivided…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

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Q: A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to…

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Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: d) A trough for holding water is be formed by taking a piece of sheet metal 60 cm wide and folding…

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Q: A layer of equal spheres is in the form of a square. The spheres are arranged so that each sphere is…

A: The lines that trace the center of the spheres will form into square pyramid. See figure below.

Q: b) Use De Moivre's theorem to evaluate Express the answer in rectangular form. -

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Q: What are objects in real life that exhibit a. elliptic geometry b. hyperbolic geometry

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Q: 2) The design commonly used in one residential community is of majestic doors and windows. In this…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: the physical dimensions of an object?

A: To define: Physical dimensions of an object.

Q: Two sides of a triangle have lengths a and b, and the angle between them is u. What value of u will…

A: we know that when two sides of triangle is x and y given and angle between them is θ then area ∆of…

Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: 11. Developing Proof What's wrong with this picture? 15 60 30 17

A: A 30-60-90 triangle is a right-angled triangle that has one angle equal to 90 degrees, one angle…

Q: An isosceles triangle has two equal sides of length 15 inches. Find the angle (apex angle) between…

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Q: 2. A 20 ft. ladder is placed against a wall that the foot of the ladder is 4 ft. from the base of…

A: Now, we have a 20 feet ladder.  It is placed against a wall and is 4 feet away from the base of the…

Q: 1. A rectangle is inscribed inside an equilateral triangle of each side a units, where base of the…

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Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Length of fencing material available = perimeter of rectangular lot = 600ft.  Let the length be l…

Q: 4 wells located at point A,B,C,D, respectively. ABCD form a square, When water is pumped out from A…

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Q: A right rectangular prism has a height of 12 cm and a base of 8 cm by 10 cm. The prism is cut…

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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: What are the elements of Euclidean and Non-Euclidean Geometry?

A: Solution

Q: A rectangle us reflected across a vertical line. What is the resulting shape?

A: A rectangle is reflected across a vertical line:

Q: 6. Point Q is located at (27, -30). If is dilated by a factor of , with center of dilation as the…

A: Point Q is located at (27, -30) is dilated by a factor of 16, with center of dilation as the origin.

Q: Summarize the converse of the perpendicular bisector theorem. Ho

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Q: hemispherical tank of radius 6 feet is positioned so that the base is circular. How much work is…

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Q: An equiangular triangle in the hyper- bolic plane with interior angle of has an area of 7.

A: True....I attach the explanation...I hope it will help you...

Q: cylindrical tank standing upright (with one circular base on the ground) has a radius of 20 cm. How…

A: Given query is to find the rate of change of water Level. Given: Radius of circular tank =20cm…

Q: An isosceles triangle has base 7 and height 12. Find the maximum possible area of a rectangle that…

A: For maximum area dA/dt=0.

Q: The figure below shows a circle with radius 7.2 m surrounded by four equilateral triangles whose…

A: Given that the circle with radius 7.2 m surrounded by four equilateral triangles whose sides equal…

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A:

Q: Explain the similarities and differences of a Sphere and a Mobius Strip

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Q: A thin triangular-shaped iron plate is accidentally dropped into a hemispherical tank, which is 10…

A: Answer is mentioned below

Q: An iron bar 20 m long is bent to form a closed plane area. What is the largest area possible?

A: It is given that the iron bar 20 m long is bent to form a closed plane area. To find: the largest…

Q: 9. Under what conditions could a geometry satisfy more than one of the parallel postulates? Explain.…

A: There are some points with explanation and example to understand you better.

Q: A satellite in a circular orbit 1250 kilometers above the Earth makes one complete revolution every…

A: To find the linear speed of the satellite