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2 years ago

How many digits are there in the repeating block for the decimal equivalent of 3 over 7?

Mathematics

1 answer:

Sindrei [870]2 years ago

7 0

Step-by-step explanation:

$\text{By long division, we know that}$

$\frac37=0.425871425871425871\ldots$

$\text{Observing the pattern, we know the repeating block is }\overline{425871}\text{. Therefore, there are 6 digits in the repeating block}$

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Proportional or not proportional 18/72 4/16

NikAS [45]

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3 years ago

The interior angles of a hexagon are (2x+17)0, (3x - 25)0, (2x+49)0,

EleoNora [17]

Answer: a) x= 68, b) 108°, c) 72°, d) 255°.

Step-by-step explanation:

Since we have given that

The interior angles of hexagon:

(2x+17), (3x - 25), (2x+49), (x+40), (4x-17) and (3x - 4).

So, it becomes :

$2x+17+3x-25+2x+49+x+40+4x-17+3x-4=1080\\\\15x+60=1080\\\\15x=1080-60\\\\15x=1020\\\\x=68$

ii. Find the smallest interior angle of the quadrilateral.

$x+40=68+40=108^\circ$

iii. Find the largest exterior angle of the quadrilateral.

$180-108=72^\circ$

iv. Find the largest interior angle of the quadrilateral.

$4x-17=4\times 68-17=255^\circ$

Hence, a) x= 68, b) 108°, c) 72°, d) 255°.

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3 years ago

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2 years ago

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