All Answers 358108 Answers

pi is 3.14159265359 or $${\frac{{\mathtt{22}}}{{\mathtt{7}}}}$$. A number used to calculate the area of a circle and circumference.

I think your question is really abot how to calculate ac and ab. Use Pythagoras 

a^2+b^2=c^2 

in this case sides c is the diagonal and side b is the short side and a is longer side. 

let the cp be 1500. and discount be 2.5 % so the sp is 

 cp - discountes price= 1500-2.5/100 of 1500

                               = 1500-37.5

                               =  1462.5

 thank you

 

100%-2.5%=97.5% or $${\frac{{\mathtt{97.5}}}{{\mathtt{100}}}}$$ is the amount reduced from the discount

multiply it with your amount

$${\frac{{\mathtt{97.5}}}{{\mathtt{100}}}}{\mathtt{\,\times\,}}{\mathtt{1\,500}} = {\mathtt{1\,462.5}}$$

answer is $1462.50

Hope it helped you

@@ End of Day Wrap   Wed 13/5/15   Sydney, Australia Time   7:40pm  ♪ ♫

Good day to you all,

Great answers today from GirlsNightOut, Civonamzuk, DarkBlaze347, Alan, MathGod1, foodisloveandlife, EinsteinJr, Brodudedoodebrodude, CPhill, Calicalilac, MaddiB926, Geno3141, Headingnorth, Zacismyname and Feliciabaugh110722.  Thanks everyone  

Thurs 14/5/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

Interest Posts:

FTJ means 'For the juniors' 

Yes I forgot about that Alan.   Maybe this is better   

$$\\4=2r^2-2r^2cos120\\
4=2r^2-2r^2*-0.5\\
4=2r^2+r^2\\
4=3r^2\\
\frac{4}{3}=r^2\\
r=\frac{2}{\sqrt3}\\\\
y= \frac{3r\sqrt3}{2\sqrt{8-\sqrt{37}}} \;unit\;thingies\\\\
y= \frac{3*\frac{2}{\sqrt3}\sqrt3}{2\sqrt{8-\sqrt{37}}} \;unit\;thingies\\\\
y= \frac{6}{2\sqrt{8-\sqrt{37}}} \;unit\;thingies\\\\
y= \frac{3}{\sqrt{8-\sqrt{37}}} \;unit\;thingies\\\\\\
x=\frac{r\sqrt{\left(8-\sqrt{37}\right)}}{2}\;\;unit\;thingies\\\\
x=\frac{\frac{2}{\sqrt3}*\sqrt{\left(8-\sqrt{37}\right)}}{2}\;\;unit\;thingies\\\\
x=\frac{\sqrt{3\left(8-\sqrt{37}\right)}}{3}\;\;unit\;thingies$$

Hi MG,

I never use a $ for spaces.

But LaTex does a lot of strange things and it behaves slightly differently in different forums too.  This is because there are many different versions of it around.  It is best to know a lot of methods for doing the same thing because if one method doesn't work another probably will.

I saw that Latex of yours on the forum - it looked great.  

I think it is time for you to start really practicing the array functions.  

That can be extended to do a lot of things but I think that you need some practice with it first. 

How good are you at solving equations?

Can you solve this one and present it in latex using the array function?  

(5x+6)/12=-2

Great job there Chris   

320-20=300 that is how much he borrowed.

34*10=340 that is how much he paid back (the principal) in 9 months.  He paid $40 interest in 3/4 of a year

If it is simple interest then

I=Prt

40=340*r*(3/4)

40=340*0.75*r

r=40/(340*0.75)

$${\frac{{\mathtt{40}}}{\left({\mathtt{340}}{\mathtt{\,\times\,}}{\mathtt{0.75}}\right)}} = {\frac{{\mathtt{8}}}{{\mathtt{51}}}} = {\mathtt{0.156\: \!862\: \!745\: \!098\: \!039\: \!2}}$$       

That is about 15.7%  per annum

Not quite Felicia, That will be the age you turn in 2015 but you might not have had our birthday yet :)

Thanks Felicia

Multiplying by 9

Felicia is right the finger method is excellent !

here is a clip on how to do it

i is an imaginary number - most students NEVER have to worry about it!

You can factor out the 4 and get   4(2a-3b)

It is an upside down sine cuve with a period of    $$\frac{2\pi}{\pi/2}=\frac{2*2\pi}{\pi}=4$$

Here is the graph

Possibly:

$$\\
\frac{1}{224}\times \frac{61}{112}=\frac{1}{122}\\\\
\frac{1}{122}\times \frac{61}{56}=\frac{1}{112}\\\\$$

.

$$\sqrt8=\sqrt{4*2}=2\sqrt2$$

Yes that is corrrect.  Power users have a hollow star with their name.  Moderators have a solid star.  

Presumably you are referring to a triangle with sides of length a, b and c opposite angles A, B and C respectively. In this case the cosine rule says

cos(C) = (a² + b² - c²)/(2ab)

.

You have told me that before Chris but I keep forgetting!     

The letter i is usually used to represent the square root of -1.  

.

If you mean 0.26666666.... with the 6's recurring, then do the following:

Let  x = 0.266666....

Mutiply x by 100:

100x = 26.666666.....

Multiply x by 10:

10x = 2.666666.....

Subtract 10x from 100x:

100x - 10x = 26.66666.... - 2.66666..... so

90x = 24

Divide by 90

x = 24/90

or x = 4/15

.

On the other hand, if you mean 0.266266266... then

Let x = 0.266266266...

Multiply by 1000

1000x = 266.266266266....

Subtract x from 1000x

1000x - x = 266.266266266... - 0.266266266...

999x = 266

x = 266/999

.

This is fine as far as it goes Melody, and if you calculate r you can take it all the way!

.