Write repeating decimal 2.72727272... as a fraction. Reduce the fraction completely.

30/11

Step-by-step explanation:

Let's say x = 2.7272727272... If we multiply both sides by 100, we get:

100x = 272.7272727272...

We now have the equations:

100x = 272.7272727272...

x = 2.7272727272...

Let's subtract the second from the first. Doing so results in 99x on the left. On the right, the entire repeating part (72727272...) cancels out and we're just left with 272 - 2 = 270:

99x = 270

Divide by 99 on both sides:

x = 270 / 99

Simplify:

x = 30 / 11

The answer is 30/11.

entering that problem on the tube might get you an answer

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet