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NikAS [45]
3 years ago
5

What is 0.36⎯⎯⎯⎯ expressed as a fraction in simplest form?

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0
Let x equal the repeating decimal.

x =     0.363636...

Since there are two repeating digits, 36, we multiply the equation above by 100 on both sides, and write it above the equation. Then we subtract the equations.

   100x  =  36.363636...
 -       x  =    0.363636...
--------------------------------
     99x  =  36

Divide both sides by 99.

x = 36/99

Divide both the numerator and denominator by 9.

x = 4/11

Answer: 0.363636... = 4/11
Keith_Richards [23]3 years ago
6 0
The answer in simplest fraction would be 9/25 
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Using the Taylor rule, if inflation is 1 percent, desired inflation is 2 percent, and output is 2 percentage points below potent
antoniya [11.8K]

Answer:

1.5%

Step-by-step explanation:

According to the Taylor rule, the federal funds rate targeted by the Fed is:

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6 0
3 years ago
1.1 solve for x, where 0°< x 90°. write your answer to one decimal place. 1.1.1 tanx=sin38° 1.1.2cosec( x+10°)=1.345​
snow_lady [41]

The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

<h3>How to solve the trigonometry ratios?</h3>

The equations are given as:

tan(x)=sin38°

cosec( x+10°)=1.345​

In tan(x)=sin38°, we have:

tan(x)=0.6157

Take the arc tan of both sides

x = 31.6

Also, we have:

cosec(x+10°)=1.345​

Take the inverse of both sides

sin(x+10°) = 0.7434

Take the arc sin of both sides

x+10 = 48.0

Subtract 10 from both sides

x = 38.0

Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

Read more about trigonometry ratios at:

brainly.com/question/11967894

#SPJ1

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