The volume of the pyramid formed in the first octant by the plane 6x + 10y + 5z-30 = 0 is: О 45 О зо О 15 O 20

Q: 37. Figure A, the small hexagon, was dilated with the origin as the center of dilation to create…

A: Here hexagon A is dilated to creat hexagon B.

Q: Find the volume of parallelepiped if A = ai + aj, B = cj + ck and C = bi + bk

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Q: Find the volume of a parallelepiped spanned by 2i - 5j - 7k, i-k and 9i – 3k.

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Q: What is the volume of the parallelepiped with sides 6i + 9j + 5k, 2j + 5k, and 10k? volume %3D

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Q: Find the height of the square pyramid with the given dimensions. See Example 6. Area of the base =…

A: We know Given that B=361 and volume=3249 We have to find h

Q: A commercial shop of (5x7 ) m leased according to a contract by 200 $/m²/year I from 19 July / 2012…

A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: Which are the dimensions to a right rectangular prism with a volume of 270 cm³ and base area of…

A: This question is based on mensuration.

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Q: A certain parabolic monument has a base that is a parabola ( y=−.5x2+8y=−.5x2+8 ) And a front…

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Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

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Q: Your job is to determine the coordinates of the remaining corners of the building; the side length…

A: given , Cube with A ,B ,C ,D are top vertex and A' ,B' , C' ,D' are the Down vertex that are touches…

Q: A package in the shape of a rectangular box can be sent by post as a postal order if the sum of its…

A: Solution by using Lagrange multipliers as follows :

Q: *Challenge: For a given triangle, if the centroid is at (-2,5) and the orthocenter is at (-8,13),…

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Q: Which shape represents the front viaw of this thrao-dimensional salid? front

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Q: Show that a pyramid of height h whose base in an equilateral triangle of side s has √3 2 volume -hs"…

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Q: What is a cycloid?

A: we know that cycloid is the curve traced by a point on a circle as it rolls along a straight line…

Q: Find the volume of a tetrahedron if the vertices are (1,1,1) , ( 5,-7,3) , (7,4,8) and (10,7,4)

A: Solution:- find position vector

Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three…

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Q: One of chum bus find the the chugonals and perimeter of 32um and '8Ocm ofa repatively area.

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Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

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Q: Determine the volume of a triangular prism with vertices at A(-1,1,3), B(-1,0,0), C(2,0,0) and D…

A: 1:  2: