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3 years ago

2.16 repeating as a mixed number and fraction

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

Answer:

A number is said to be in fractional form if it can be written in the form of $\frac{p}{q}$ , where , q≠0.

and it is said to be in Mixed fraction , if it can be written in the form of $a\frac{b}{c}$ .

$\rightarrow2.16=\frac{216}{100}\\\\\text{Dividing numerator and denominator by 4}\\\\=\frac{54}{25}---\text{fraction}\\\\=2\frac{4}{25}-----\text{Mixed number}$

MrMuchimi3 years ago

3 0

2 16/100 this would be that as a fraction. I'm a little confused as to what your asking

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motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

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1 year ago

Carrie and Alex are playing hiding and seek

KatRina [158]

Answer:

Ok.

Step-by-step explanation:

What is your question?

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3 years ago

Read 2 more answers

Help for 45 points plz help me

aivan3 [116]

Hey there! :D

By looking at the graph, and how the question states the x-axis and the y-axis are correlated:

The x being Weight in pounds, and y being the cost in dollars,

the correct answer is "C". Point W is stating the unit price per pound, which is 2.50.

I hope this helps!
`laikers

3 0

3 years ago

2n – 32 = 10(n - 8) what is the answer

sasho [114]

Answer:

n = 6

Step-by-step explanation:

2n - 32 = 10n - 80

2n - 10n = -80 + 32

-8n = -48

-48/-8 = 6

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