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Here you go  :

Thanks for your help !!

Okay yes I remember now I think you helped me last time.

Thanks I'll write this down step by step!

I'm preparing for my exam so I'm going over the problems I have done already.

First, figure out how much tax would Joe pay using the "tax rates" in your table:

$44,603.25 + ($300,000 - 183,250) x 33% =

$44,603.25 + ($116,750 x 0.33) =

$44,603.25 +      $38,527.50

=$83,130.75 - this is the income tax that Joe would pay using your table of tax rates.

$83,130.75 / 0.17 =$489,004.41 - this is the income that Joe would have to make for a flat rate of 17%.

You probably already finished this lol but it's 9

Hello hectictar

I'm pretty sure three sides for pythagorean.

How old are you hectictar?

Awesome

 Hey

Awesome job CPhill

Use two simultaneous equations!.

The concept that you need to use is the triangle inequality:

the sum of the lengths of two sides of a triangle will be greater than the length of the third side.

So, for example, from your diagram,

\(\displaystyle AG + GB > AB.\)

For part (a), extend the line AD to AA' such that ABA'C is a parallelogram and then think of how to make use of the long diagonal AA'.

For  the right hand part of the inequality in part (b) you need to make use of the result from part (a) together with the the other two possible inequalities of this type.

For the left hand part, it's back to the triangle inequality, and the clue is the inequality that I've stated on the fourth line, above. You will also have to make use of the 2 : 1 property for the medians of a triangle.

Tiggsy

Thank you! I didn't realise this had been answered before.

thank you

Formula for Volume of a Trapezoidal Prism. If the prismlength is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2. In other words, multiply together the length, height, and average of A and B

That does not make sense. 

use the three sides for the pythagoreon therum

Thank You!!!

Okay....

\(\ \quad\sqrt{\frac38}\\ =\\ \quad\sqrt{\frac38\cdot\frac88}\\ =\\ \quad\sqrt{\frac{24}{8^2}}\\ =\\ \quad\frac{\sqrt{24}}{\sqrt{8^2}}\\ =\\ \quad\frac{\sqrt{24}}{8}\\ =\\ \quad\frac{\sqrt{4\cdot6}}{8}\\ =\\ \quad\frac{\sqrt4\cdot\sqrt6}{8}\\ =\\ \quad\frac{2\cdot\sqrt6}{8}\\ =\\ \quad\frac{\sqrt6}{4}\)

BTW...

Whenever you use a radical, that is, this symbol:  √ 

it is a good idea to always include parenthesees after it, like this:  √( )

and then put all of the numbers that go under the radical in the parenthesees.

So for this expression it would be  √( 3/8 )  .

That way, there is no confusion.

Notice that the expression  √3/8  can also be interpreted as  \(\frac{\sqrt3}{8}\)  

(which would actually be the correct interpretation in this case).

bump

yes it is

This is answered here:

https://web2.0calc.com/questions/need-some-help_9

(x + y)^2  =  45    ⇒  x^2 + 2xy + y^2   =  45     (1)

xy  = 10    (2)

Sub (2)  into (1)

x^2 + 2(10) + y^2  = 45

x^2 + y^2  + 20  = 45       subtract 20 from both sides

x^2 + y^2  =  25 

Finally....

(x  - y)^2  = x^2 - 2xy + y^2  = 

(x^2 + y^2) - 2xy  =  

(25)- 2(10)

25 - 20  =

5