Math Is Fun Forum

See line 4, there is one 'x'  behind log2 and another 'x' behind log3, why didn't you add those xs so that it would have been 2x.

Please check these for me:

x( y^1/2 - x^1/2)
= (xy^3/2 - x^3/2)
Is my answer correct?

Please,  I just dont know much about rhombus that is why I am asking that question, please help me clear my doubts.

Many thanks

Besides, there was two 'x' as in xlog3 + xlog2, And you didn't add those two x to be '2x', or in other words, why didn't you add those x's to be 2x after you divided log2 by log3 + log2, do you understand my question?

But is there any angle like obtuse in a rhombus? I was thinking that all the angles are acute and 115.9 and 64.1 could be the answer, please is 115.9 not the required answer? Please explain why 115.9 is not the required answer if you think so.

Many thanks!

The following is a new question, and please I want you to help me understand it properly.

(1) The diagonals of a rhombus are 5 cm and 8 cm long. Find
(i) the acute angle between the sides.
Please,  draw a rhombus and solve this, that I could ask a question because the book's steps of solving it puzzles me. Please help me
Thank you.

I am now grasping it,  Bob your explanation is excellent!
I was thinking that, after one has gotten the final answer one must states that, angle AEB = 36.2, angle BEC = 2.3, angle AED = 2.3, DEC = 36.2. This is to show the angles that exist between the diagonals just to answer exactly the question's demand, or you think writing the angles wouldn't be necessary?
(those figures were just guessed by me)
Thank you very much Bob!

Thanks Bob.

So, after I have gotten the angle at the red dot and have multiplied it by 2, do I need to work out for the angles of the three triangles in the same way by drawing a line through each triangle and then calculate for each angle in order to fit the question's demands?

Thanks Bob! I must ask few questions concernin the above, but let me put this across, in fact a book I am using now has the following question and its final answer confuses me;
(1) A rectangle measures 15 cm by 20 cm. find
(i) the angle between its diagonals

How to get the answer confuses me.  Please could you draw a rectangle for me to see,  and then use it to calculate for the diagonals?
Thanks

Thanks Bob, I had miscalculated it, but now I have grasped the difference. But what is the meaning of SUBTEND when used in geometry or mensuration? For instance if an angle subtends another angle.
Could you please give an illustration with explanation of 'an angle subtending another' In order that I could understand its meaning properly?
Many thanks!

Hi, bobym.

Look the link you provided at page 4 concerning the square roots signs.
It says so:

When two numbers are multiplied within a square root, you can split it into a multiplication of two square roots.
But only when X and Y are both greater than or equal to 0.
My question is:

Which figure is equal to zero before  the splitting will be possible?

Please do you have an idea as to why it is called complex or imaginary?

Okay, what name do we give to a negative square root of a number? Since the positive root number has a name.

Thanks in advance.