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34kurt
3 years ago
14

Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are

that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.
Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

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Please help. I'm stuck.
Bezzdna [24]
The root \sqrt{10} can be converted into the power 10^{ \frac{1}{2} }. Therefore we can rewrite the problem as (10^{ \frac{1}{2} } )^ {\frac{3}{4} x} and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes 10^{\frac{3}{8}x}, which then can be turned into \sqrt[8]{10} ^{3x}, making the last option our answer.

4 0
4 years ago
Which fraction has a value less than 5-7?
lesya [120]

Answer:

3/4

Step-by-step explanation:

4 0
3 years ago
If the area of a trapezoid below is 234 square units what is the value of x?
muminat
The formula for the area of a trapezoid is Area = (top +  bottom)/2 x height

Using the given information we can solve for x:

234 = (20+32)/2 * X

234 = 52/2 * X

234 = 26 * X

X = 234/ 26

X = 9 units.

The answer is B.


8 0
4 years ago
Read 2 more answers
Can someone explain how to do this problem correctly
agasfer [191]

Answer:

88 degrees.

Step-by-step explanation:

The circle in question must be equal to 360 degrees if arc CDA is equal to a number greater than 180.

If 360 degrees is the total measure, and arc CDA is equal to 272 degrees (Which I noticed you placed wrong, it should be in the bigger half of the circle rather than the little half.).

So to get your final answer, you subtract 272 from 360.

360 - 272 = 88 degrees.

3 0
3 years ago
Find the value or values of x in the quadratic equation x2=6x-9.
ozzi

x² = 6x - 9, or x² - 6x + 9 = 0, or x² - 2*x*3 + 3² = 0, or (x-3)² = 0 => x₁ = x₂ = 3.

Green eyes.

5 0
3 years ago
Read 2 more answers
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