All Answers 356035 Answers

I agree needs to be fixed cmon admin where you at?

THANK YOUUU

There are problems with the network.

The owner of the site is trying to work it out.

I am sorry about all the frustration and inconvenience.

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Here is a Venn diagram

Thanks Tiggy.

I assume the accpetable reason is ...

         "The angle between a tangent and a chord is equal to the angle subtended by the chord in the alternate segment."

But I do not remember this rule.  I have to find/see a proof to convince myself that it is true.

I found a good proof on YouTube   

35 - 8 - 16 + 8 = ____________

Did you enter the correct function?

Did you mean to enter:  p(m)  =  -7x² + 500x - 1000 ?

If you meant to (or any quadratic), you can use the formula:  -b / (2a)  to get your answer.

a = coefficient of the x-squared term

b = coefficient of the -term

Divide thru by 2   (this will not change the 'zeroes' ....also known as the x-axis intercepts)

x^2 -6x+8    factor

(x-4)(x-2)       x intercepts are thus   4  and 2

                          axis of symmetry is between the zeroes ...in the middle at x = 3

Whatever happened to capitalization and punctuation?   THAT is jibberish!

Need to find the number of mangoes

p = 3g

p+g = 1/2 m       we know   p = 3g      sub that in

3g+ g = 1/2 m       or      g = 1/8 m     then   p = 3g becomes    p = 3/8 m

added together = 180

m  + 3/8 m  +  1/8 m = 180

   m = 120

120 m ÷ 6 m/ $20 = $ 400

Hi Melody.

They're both, for different reasons, equal to the angle between WX and the tangent at X.

Thanks Tiggsy,  (and it is nice to see you again   )

Why is angle XWZ equal to  angle WYX ?   

This is a question that's appeared several times on this site, maybe with different numbers but basically the same question - just search circumcircle.

It drops out in a couple of lines if you notice that the triangles WXY and ZXW are similar.

That gets you ZX/6 = 6/14, so ZX = 36/14 = 18/7.

Then, ZY = 14 - 18/7 = 80/7.

this is not a general solution.  BUT

If you let the diameter of the circle be 14 units then WZ will be an altitufde for WXY

By using pythagoras's theorem and a bit of manipulation you can determine that ZX = \(11\frac{3}{7}\)

Here is a geometric solution.  I just wanted to see if the distance actually did always stay the same.

The graph is interactive.  You can right click W or Y and change the triangle.  

The length of ZY stays the same.  Approx   11.43 units

s = small box       # nails =    50s

large box = 3s     #nails  =    400(3s)

toal = 2500

50s + 400(3s) = 2500              solve for s     then   large boxes = 3s

Info missing in your Question.

F_g = ma  =  41 (9.81) = 402.21 N

See diagram below

Normal Force is force perpindicular to the slide surface    F_n = 402,21 cos 20

Force DOWN the slide           F_h =   402.21 sin 20

F_Nl = 76      from the diagram, you can see this cancels out SOME of the down the slide force...

                        then down the slide force =  (  402.21 sin20    -  76 )  N 

Thanks Geno,

Hi Loona,

Firstly this would have to be a bevy big bag of candy (really of infinite size) otherwise it is not correct to do it this way.

But for a school question you do not have to worry about that. 

Your question for part B looks unfinished.  Maybe some LaTex has been omitted?

Be careful to proofread you questions before you post them.

You made a good start on you tree but in my view it is not finished.