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Lesechka [4]
3 years ago
7

How do you figure out whether a fraction will be a terminating decimal or a repeating decimal?

Mathematics
1 answer:
alexdok [17]3 years ago
4 0
 If<span> the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, then it can be written as something over a power of ten. This means that the decimal will terminate.</span>
You might be interested in
consider a circle with a radius of 10 centimeters. What is the length of the arc that measures 60° for the given circle.
Kobotan [32]

Answer:

3 1/3π

Step-by-step explanation:

First, you have to find the circumference. The circumference, based on the equation of 2rπ, comes out as 20π. Since you have to find the length of the arc that is 60 degrees, divide 60 by 360 to see how much of the circle 60 degrees is. It results in 1/6, so then you simply have to multiply 20π by 1/6.

7 0
3 years ago
I need help!!
Natasha2012 [34]

Answer:

The exact solution is

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

5^{7*x} = 60\\

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

Ln(5^{7*x}) = Ln(60)

Then we get:

7*x*Ln(5) = Ln(60)

Solving that for x we get:

x = \frac{Ln(60)}{7*Ln(5)}  = 0.363

So the exact solution is:

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

7 0
3 years ago
Experts/ace/geniuses helpp
Alex Ar [27]
Square root 144 =  12 so this is the rational number
8 0
3 years ago
How long is the arc intersected by a StartFraction 2 pi Over 3 EndFraction radian central angle in a circle with radius 7 feet
statuscvo [17]

Answer:

14pi/3 feet

Step-by-step explanation:

none

4 0
3 years ago
Select all the equations that have the same solution as the equation 3x−12=24
evablogger [386]

Answer:

3x=36, so x=12

Step-by-step explanation:

5 0
3 years ago
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