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Alex777 [14]
4 years ago
8

Order from least to greatest 5/6, 7/12, 3/4

Mathematics
2 answers:
mr Goodwill [35]4 years ago
6 0

Answer:

7/12, 3/4, 5/6

Step by Step:

First, we want to make the denominators the same, since we want to compare them.

The common denominator is 12, so we can change their denominators all to twelve.

We don't need to change 7/12, so we can just leave that be for now.

6 times 2 is 12, so we can multiply 5/6 by 2/2

-That is 10/12.

Next, we need to find one for 3/4.

4 times 3 is 12, so we can times 3/4 by 3/3.

that is 9/12.

So we have the three numbers, I'll line them up here.

7/12, 10/12, 9/12

Since the denominators are all the same, we can basically just compare 7, 9, and 10.

10 is the largest, so 10/12 is greatest. We can now return it back to 5/6, or just simplify it and divide it by 2/2.

9 is bigger than 7/12, so we can simplify that too and turn it back into 3/4.

7/12 is the smallest, but we don't simplify that, since that was it's original state.

so it is 7/12, 3/4, and 5/6.

Lynna [10]4 years ago
3 0

Answer:

7/12 , 3/4 , 5/6

Step-by-step explanation:

hope this helps :)

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Use the distance formula to determine the distance between (-8,10) and (-6,7)
hjlf

Answer:

Distance: \sqrt{13} units

Step-by-step explanation:

The distance formula is d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where:

  • d is the distance between points (x_1,y_1) and (x_2,y_2)
  • (x_1,y_1) are the coordinates of the first point
  • (x_2,y_2) are the coordinates of the second point

We are given that:

  • (x_1,y_1)=(-8,10)
  • (x_2,y_2)=(-6,7)

To determine the value of our distance, d, we plug in our given information into the formula and solve for

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

d=\sqrt{(-6-(-8))^2+(7-10)^2}

d=\sqrt{(-6+8)^2+(-3)^2}

d=\sqrt{(2)^2+(-3)^2}

d=\sqrt{4+9}

d=\sqrt{13}

Therefore, the distance between (-8,10) and (-6,7) is \sqrt{13} units.

See the attached graph for a visual.

5 0
3 years ago
Suppose you go to the grocery store and spend $92.54 for the purchase of 12 items. What is the mean price per item
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Answer:

If its multiple choice then any number between 7 and 8 but closer the 8 should be the answer. If not, then I don't know

Step-by-step explanation:

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6<br><br><br> math geniuses help please!!<br><br><br> math
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Answer:

A

Step-by-step explanation:

Begin with Euler's formula. I am assuming youre aware of this if youre taking complex algebra? You can prove Euler's formula by doing a Maclaurin expansion of cosine, sine, and e^x. Euler's formula states that:

e^{ix}=cos(x)+isin(x)

We can put the first complex number in exponetial form by noticing the input is 2pi/3. The second complex number has an input of pi/3. Therefore:

z_1=8e^{i(2\pi /3)}

z_2=0.5e^{i(\pi /3)}

Then:

\frac{z_1}{z_2} =\frac{8e^{i(2\pi /3)}}{0.5e^{i(\pi /3)}}

Simplify the coefficients to get:

\frac{z_1}{z_2} =\frac{16e^{i(2\pi /3)}}{e^{i(\pi /3)}}

When you divide exponentials, you subtract the exponents. Therefore:

\frac{z_1}{z_2} =16e^{i(2\pi /3)-i(\pi /3)}=16e^{i(\pi /3)

Put it back into trigonemtric form using Euler's formula:

16e^{i(\pi /3)}=16cos(\pi /3)+i16sin(\pi /3)

Cosine of pi/3 is 0.5, and sine of pi/3 is square root of 3 over 2. We have:

16e^{i(\pi /3)}=16cos(\pi /3)+i16sin(\pi /3)=16*0.5+16*\frac{\sqrt{3} }{2} *i=8+8\sqrt{3} i

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