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kodGreya [7K]
3 years ago
5

Point O is the centroid of triangle ABC. If OD=3x -2 and OC= 5x, find x.

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

At centroid medians bisect each other in the ratio 2:1

\\ \sf\longmapsto OC=2(OD)

\\ \sf\longmapsto 2(3x-2)=5x

\\ \sf\longmapsto 6x-4=5x

\\ \sf\longmapsto 6x-5x=4

\\ \sf\longmapsto x=4

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The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in c
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The volume of the box without the lid is 500 cubic inches.

<h3>What is volume?</h3>

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

Another way to think of volume is as the amount of space a three-dimensional object takes up.

Calculation for the volume of the box-

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