Melody

Area = 1/2 ab*sinC\\

A=7.5sinC

The biggest sinC can be is 1 which happens when C=90degrees

So you can answer now.

You can also tell me how long the third side will be.    

You multipy

Note:  you have allowed that one or more child is able have no strawberry candy or no rhubarb candy or none of either.

Ok Ginger, not a problem.   

consider (5x-4)^2

no matter what real value x has, this expression will be some real number squared.

When you square ANY real number the outcome CANNOT be NEGATIVE.

So thee is no way that this expression can be less than 0.

If x=4/5  then the expression will be 0

Consider if x=0 (which is less than 4/5)

(5*0-4)^2 = (-4)^2 = 16     which is definitely not less than 0.

Find all A and B such that (2x + 7)/(x^2 - 8x + 15) = A/(x - 3) + B/(x - 5) for all x besides 3 and 5.

Express your answer as an ordered pair in the form (A, B).

\( \frac{(2x + 7)}{(x^2 - 8x + 15) }\\ = \frac{(2x + 7)}{(x-3)(x-5) }\\~\\ \frac{2x + 7}{(x-3)(x-5) }=\frac{A}{x-3}+\frac{B}{x-5}\\ \frac{2x + 7}{(x-3)(x-5) }=\frac{A(x-5)}{(x-3)(x-5) }+\frac{B(x-3)}{(x-3)(x-5) }\\ \)

You can finish it.    

Hint: You cannot divide by 0.    

I like your answer too guest.

It was good that you left it not quite finished too.

I like that Eternity bought my attention to your solution too.  

I do not think of similar figure solutions as often as I should.  It is good to get reminders of them.

I'd probably go the median and the interquartile range.

rotation are usually considered the same in question like this.

Seat the child anywhere to start the sequence     1 

Dad can be seated on either side.                         1*2

Mum sits on the other side                                     1*2*1

3 more people to sit.  They are A,B and C

A can side in 3 places, 2 seats left from B and only one place left for C

So I have

1*2*1*3*2*1 = 12 ways

Method 1:  Turn them all into approximate decimals using your calculator, then order them.

Method 2:  Change them so each one is total inside a square root. Then order them

e.g.   6sqrt2 = sqrt (36*2) = sqrt (72)