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Svetlanka [38]
2 years ago
6

Convert the recurring decimal 2.1363636 to a mixed number

Mathematics
2 answers:
pentagon [3]2 years ago
7 0

9514 1404 393

Answer:

  2 3/22

Step-by-step explanation:

Multiply by 100.

  213.6363...

Subtract the original.

  213.6363... -2.1363... = 211.5

Divide this by 99.

  211.5/99 = 2115/990 = 2 135/990 = 2 3/22

_____

The original number you multiply by is 10^n, where n is the number of repeating digits. Then the number you divide by is (10^n -1). Here, those values are 100 and 99, because there are 2 repeating digits.

podryga [215]2 years ago
3 0

Answer:

2 + 57/550

Step-by-step explanation:

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Find the surface area of a pyramid with a square base with dimensions 100 mm by 100 mm and height of 75 mm.
Reil [10]

To solve for the surface area of the pyramid, we make use of the formula:

A= l w + l [sqrt ((w / 2)^2 + h^2)] + w [sqrt ((l / 2)^2 + h^2))

where,

l and w are the base of the pyramid = 100 mm

h is the height of the pyramid = 75 mm

 

Substituting the given values into the equation:

A= 100 * 100 + 100 [sqrt ((100 / 2)^2 + 75^2)] + 100 [sqrt ((100 / 2)^2 + 75^2))

A = 10,000 + 100 (sqrt 2575) + 100 (sqrt 2575)

A = 20,148.90 mm^2

 

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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