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3 years ago

What two consecutive integers does 20−−√ fall between?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

8 0

Answer:

4 and 5

Step-by-step explanation:

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Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

<h3>What is the Euler's Formula?</h3>

The Euler's formula is given as, F + V = E + 2, where:

F = number of faces (number of regions)
V = vertices
E = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

F = 7
V = 10
E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

brainly.com/question/1178790

5 0

2 years ago

I need help with these two please :’)

tatiyna

Answer:

59)

Therefore the height of the pyramid is 14 meter.

60)

Therefore the Diameter of Cone is 17.32 cm.

Step-by-step explanation:

59 )

Given:

Shape is Rectangular Pyramid,

Length = 3 meter

Width = 8 meter

Volume of Rectangular Pyramid = 112 cubic meter

To Find:

Height:

Solution:

We Know,

$\textrm{Volume of Rectangular Pyramid}=\frac{1}{3}(Length\times Width\times Height)$

Substituting the given values we have

$112=\frac{1}{3}(3\times 8\times Height)\\ \\\therefore Height=\frac{336}{24}\\\\\therefore Height=14\ meter\\$

Therefore the height of the pyramid is 14 meter.

60 )

Thee shape is of Cone

Given:

Height= 5 cm

Volume of cone = 125 π cm³

To Find:

Diameter of a cone = d = ?

Solution:

We know,

$\textrm{Volume of cone}=\frac{1}{12}\pi (Diameter) ^{2}\times Height$

Substituting the given values we have

$125\pi =\frac{1}{12}\pi d^{2}\times 5\\ \\d^{2}=25\times 12\\ \\d^{2}=300\\\\d=17.32\\ \therefore Diameter = 17.32\ cm$

Therefore the Diameter of Cone is 17.32 cm.

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3 years ago

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sergij07 [2.7K]

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the hypotenuses are congruent and one side of the triangle is congruent

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