Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: Find the area of the triangle whose vertices are  (2,3,1), (1,-1,2) (-1,2,3)

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Q: Find the area of triangle with (1,-1,-2), (-2,0,-1) and (0,-2,1) as vertices?

A: Given: The vertices of the triangle are as follows, (1,-1,-2),(-2,0,-1) and (0,-2,1)

Q: Find the area of the parallelogram with the vertices A(-5,–4), В(2, —4), С(4,4) and D(-3,4).

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Q: Find the area of the quadrangle with vertices (6, 1), (-6,4), (-2, -4), and (5,-3)- Area = 1.0 4.0

A: To find the area of quadrangle with given vertices.

Q: Find the area of the triangle with vertices: Q(-5,-1,-1), R(-6,-4,1), S(-9,-3,2).

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Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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Q: Find the coordinates of the centroid of the triangles whose vertices are: a. (5.7), (1, -3), (-5.1);…

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Q: 28, g6) = 2x2 [,3],8 reclanyles

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Q: Find the area of a triangle whose points are (1, 2), (-2, -1) and (3, 0).

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Q: If the coordinates of the mid-points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find…

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Q: What is the area of the triangle whose vertices are A(-1,2), B(3,-2),C(4,5)?

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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: Find the area of a triangle whose vertices are (2,1), (3,-4) and (6,-4).

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Q: Find the centroid of the triangle whose vertices are at points (3,4). (6.-9) and (6,-2). asap pls

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Q: Find the area of the triangle determined by the points A(-1,4, 7), B(3, –1,2) and С(4,4, 4).

A: It is given that, A(-1,4,7) , B(3,-1,2) , C(4,4,4) We have to find the area of triangle determined…

Q: Find the area of the triangle whose vertices are (1, 1), (2, 2), and (4, 3).

A: The vertices are (x1, y1) = (1, 1), (x2, y2) = (2, 2), and (x3, y3) = (4, 3) The formula to find the…

Q: Find the area of a triangle with vertices (-3, 2, 5), (1, 0, 8) and (0, -5, -5). Give your answer…

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Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

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Q: :) Find the area of the pentagon with vertices (0, 0), (4, 1), (1, 3), (0, 2), and (-1, 1).

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Q: Find the area of a triangle with the points A(1,0,0), B(0,1,0), C(0,0, 1) as it vertices by using…

A: Question: Find the area of the triangle with the points A1,0,0, B0,1,0, C0,0,1 as its vertices by…

Q: Find the area of the triangle with vertices P(1, 5, -2), Q(1, -1, 0), R(3, 5, 1)

A: If  A x1,y1,z1, Bx2,y2,z2,Cx3,y3,z3  are the vertices  of atriangle  ABC  then     the  Area  of…

Q: Use cross products to find the area of the triangle in the xy-planedefined by (1, 2), (3, 4), and…

A: Triangle T spanned by two non zero vectors u,v.  Then the area of the triangle is given     by :…

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

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Q: Find the equation of the sphere which passes through (2, 1, 3), (3, 2, 1), (1, –2, –3), (–1,1, 2).

A: Given that the sphere passes through the points (2,1,3), (3,2,1), (1,-2,-3), (-1,1,2).

Q: Find the area of the triangle with vertices (0,0,0), (4,-4,1), and (4,-3,0)

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Q: Find the area of a triangle whose vertices are at (0,0), (10,-25)and (28,-20).

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Q: Find the distance from the point (-5, –13,6) to the plane –9x + 3y – 8z = -67. Distance is ...

A: Given:            point a(-5,-13,6)=(x0,y0,z0)            plane equation is -9x+3y-8z+67=0we know…

Q: The area of the triangle formed by the vertices (2, −1, −1); (1, 1, −2) and (−3, 2, −2) is:

A: NOTE: Refresh your page if you can't see any equations. . . .

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: We know that,The peimeter is equal to the sum of thelengths of the sides, which can becalculated by…

Q: Find the centroid of the triangle if the vertices are  (0,0) , (4,0) and (0,6)

A: Given points are         0,0,4,0,&0,6      And centriod G ?      centriod G= x1+x2+x33…

Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: Find the area of the triangle and its type "А(1,-2, -2), В(-2,1,-2), С(-2,-2,1)

A: Given- A1,-2,-2, B-2,1,-2 and C-2,-2,1 To Find- The area of the triangle and find the type of…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

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Q: Find the area of the quadrangle with vertices (4, 1), (-5, 4), (-3, –6), and (3, –3). 1,0 Area =

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Q: Find the area of the triangle with vertices (0,4), (-8,0) and (-1,-4)

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Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Find the point of intersection of the diagonals of the rhombus with vertices (-1, 2), (3, 4), (5,…

A: We know that diagonals of rhombus are perpendicular bisector of each other. Therefore Midpoint of…

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: Find the area of the largest rectangle that fits into the triangle with sides х — %3D1 ахis, у —…

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Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7

A: General equation of sphere is given by:

Q: Find the distance from the point A,= (-7,5, 8) to the plane – 5x + 4y+ 3z = -2. Enter the distance

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Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: Transform the triangle with the rule (x,y)→(x+2,y-4)

A: From figure, it is clear that the points of the triangles are as given below (1,3),(2,1) and (5,4)

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

Q: Find the area of the triangle with vertices (1,0,0), (0, 2,0), and (0,0, 1).

A: Area of triangle when three points are given is half the modulus of the cross product of the two…

Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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Q: Write an equation for a sphere centered at the point (2,4,-5) with radius 5.

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.