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NemiM [27]
3 years ago
12

The rectangle and the square have the same area. Write down an

Mathematics
1 answer:
Helen [10]3 years ago
3 0

Answer:

x² = (x-2) (x+3)

and

x = 6

Step-by-step explanation:

x² = (x-2) (x +3)

x² = x² + 3x - 2x - 6

x² = x² + x - 6

moving x² and -6 from LHS to RHS

x² - x² + 6= x

6 = x

x = 6

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2 years ago
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Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu
Amiraneli [1.4K]

The height of squared pyramid is \frac{1}{3}h unit.

<h3>What is the volume of a cube?</h3>

A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.

Volume of cube = (side)^3 \ unit^3

Given the height of cube is h unit.

Volume of cube is h^3 \ unit^3

Let the height of squared pyramid is x unit

Volume of squared pyramid is \frac{1}{3} h^{2} \times x \ unit^3

According to the question, we have

Volume of cube = 6 \times volume of squared pyramid

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Therefore, the height of squared pyramid is \frac{1}{3}h unit.

To learn more about squared pyramid from the given link

brainly.com/question/27476449

#SPJ4

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