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Neporo4naja [7]
4 years ago
10

How do you think Pythagoras' broad interests, life experience, and beliefs influenced his work?

Mathematics
1 answer:
Leviafan [203]4 years ago
3 0
The arts the Greeks searched some reality behind the appearances of things. The early Archaic sculpture represents life in simple forms, and it seems that it was influenced by the earliest Greek natural philosophies. There was a general Greek belief that nature expresses itself in ideal forms, and it was represented by a type which was mathematically calculated. This can be observed in the construction of the first temples. The original forms were considered divine, and the forms of the later marble or stone elements indicate that there was an original wooden prototype. When the dimensions changed, the architects searched in mathematics some permanent principles behind the appearances of things <span>these ideas influenced the theory of Pythagoras and his students who asserted that "all things are numbers.</span>
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Determine, to one decimal place, the length, width &amp; height of the rectangular prism that would have the greatest volume, wi
Leya [2.2K]

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0
3 years ago
Determine if the sequence below is arithmetic or geometric and determine the
Paladinen [302]

Answer:

Arithmetic sequence

Step-by-step explanation:

A sequence is described as an arithmetic sequence when there is a common difference between the numbers

A sequence is a geometric sequence when there is a common ratio between the numbers

12,10,8

10-12= -2

8-10= -2

10/12= 0.83

8/10= 0.8

Hence the sequence is an arithmetic sequence with a common difference of -2

5 0
3 years ago
Expand and simplify the following:<br> 6x - 3(2x-1)
vesna_86 [32]

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

3 0
3 years ago
What is the perimeter of the rectangle? 19 cm 17 cm​
Usimov [2.4K]

Answer: 36cm

Step-by-step explanation:

6 0
4 years ago
What is the slope of the line that passes through the points (3, 2) and (-1,2)?
Usimov [2.4K]

Answer:

The slope is 0.

Step-by-step explanation:

slope formula: \frac{y2-y1}{x2-x1}

Given points: (-1, 2), (3, 2)

(-1, 2) = (x1, y1)

(3, 2) = (x2, y2)

To find the slope, input the given points into the formula used to find slope:

\frac{2-2}{3-(-1)}

Simplify:

2 - 2 = 0

3 - (-1) = 3 + 1 = 4

\frac{0}{4} = 0

The slope is 0.

Hope this helps :)

6 0
3 years ago
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