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MAXImum [283]
3 years ago
15

Which steps should be used to compare the fractions 2/9 and 5/6

Mathematics
2 answers:
Digiron [165]3 years ago
8 0

Answer: you need to get a common denominator.. once you have a common denominator, you can compare numerators to see what is larger..

Step-by-step explanation:

to get the common denominator, you would first see what this would be.. in this case 18, as that's the lowest.  then, you would multiply each fraction by 2/2 for first and 3/3 for second, which are just funky looking ones.  therefore, D is the correct answer.


nikitadnepr [17]3 years ago
5 0

Answer:

option 4

Step-by-step explanation:

compare the fractions 2/9 and 5/6

\frac{2}{9} and \frac{5}{6}

To compare both the fractions the denominators should be same

We have denominators 9 and 6

LCM of 9 and 6 is 18

To get the denominators same, we multiply the first fraction by 2 and second fraction by 3

\frac{2}{9} and \frac{5}{6}

\frac{2 \cdot 2}{9 \cdot 2} and \frac{5 \cdot 3}{6 \cdot 3}

so option 4

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Prove that sinxtanx=1/cosx - cosx
maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}

Taking the RHS, note

\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}

Remember that

\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)

Therefore,

\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}

Once

\dfrac{\sin(x)}{\cos(x)} = \tan(x)

Then,

\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)

Hence, it is proved

5 0
3 years ago
What is 20% of 95? (show all work)
elena-s [515]
<span>we know that if 95 is out of 100%, we can write it down as 95 = 100%. w</span><span>e also know that x is 20% of the output value, so we can write it down as x = 20%. </span>
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
<span>(95/x)*x=(100/20)*x      
</span>we multiply both sides of the equation by x
<span>95=5*x      
</span>now we divide both sides of the equation by 5 to get x
<span>95/5=x </span>
<span>19=x </span>
x=19
we now know that <span>20% of 95 = 19
let me know if you have any other questions
:)</span>
6 0
3 years ago
A scarf needs ¾ of a yard of fabric. How many scarves can be made from 9 yards of fabric?
marissa [1.9K]

Answer:

exactly 12 !

Step-by-step explanation:

3/4 is the length need, times 12, which is the end result of scarves, equals 9, the yards of fabric !!

3/4 x 12 = 9

i hope this helped!!!!

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