Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0

1 answer:

3 0

I just learned a short time ago how to convert a repeating decimal to a fraction.

-- Take the repeating part of the decimal. In this one, it's '764' .

-- Make a fraction out of it by writing it over the same number of 9s.

   The fraction here is 764/999 .

-- Simplify it if possible and if you feel like it.

   764/999 can't be simplified. (I think.)

So the rational expressions for this decimal are

   (5 and 764/999)   or   5759/999   .

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Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

The complete question is

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

$x+y=180^o$ ----> equation A