heartSTORM907

would you like to see all like 20 of the incorrect answeres i entered before i came here?? the teachers on aops are terrible at helping and the people on here make it very clear that it's not cheating to post a problem. esp melody whos very adamant about it. i need help and you are absolutely not fixing anything by just writing hateful messages all the time.

sorry thats incorrect :((

this question has already been answered on two seperate occasions :)

https://web2.0calc.com/questions/help-with-rates_10

electricpavlov^^

https://web2.0calc.com/questions/worker-question

cphill^^

my bad you can solve it :D

To find \( BP \), you can use Ptolemy's Theorem which applies to cyclic quadrilaterals. The theorem states that in such a quadrilateral, \( AC \times BD = AB \times CD + BC \times AD \). First, \( AC = AP + PC = 10 \) and \( BD = 5 \). We can express \( AB \) and \( AD \) in terms of \( BP \) and \( DP \) since \( AB = BP + DP \) and \( AD = BP - DP \). Applying Ptolemy's theorem: \[ 10 \times 5 = (BP + DP) \times 2 + 10 \times (BP - DP) \] \[ 50 = 2BP + 2DP + 10BP - 10DP \] \[ 50 = 12BP - 8DP \] \[ 12.5 = 3BP - 2DP \] Since \( BP < DP \), \( DP - BP > 0 \). Let \( x = DP - BP \). Then \( DP = BP + x \). Substitute into \( 3BP = 12.5 + 2DP \): \[ 3BP = 12.5 + 2(BP + x) \] \[ 3BP = 12.5 + 2BP + 2x \] \[ BP = 12.5 + 2x \] \[ BP - 2x = 12.5 \] Also, \( x = DP - BP \): \[ x = DP - (12.5 + 2x) \] \[ x = -12.5 - 2x \] \[ 3x = -12.5 \] \[ x = -\frac{12.5}{3} \] \[ x = -\frac{25}{6} \] Finally, \[ BP = 12.5 + 2x \] \[ BP = 12.5 - \frac{25}{3} \] \[ BP = \frac{12.5}{3} \] \[ BP = \frac{25}{6} \] So \( BP = \frac{25}{6} \).

If each of the 3 volumes consists of 1000 sheets and the sheets are 17 cm by 28 cm, then the lengthwise dimension of each sheet is 28 cm.

The total number of sheets in all 3 volumes would be 3×1000=30003×1000=3000 sheets.

If all the volumes are placed one after the other, lengthwise, then the total length would be 3000×283000×28 cm.

That would be 3000×28=840003000×28=84000 cm.

To convert this into meters (M.K.S system), you would divide by 100 (since there are 100 cm in a meter).

So, 84000 cm=840 m84000cm=840m.

If all the volumes are placed one after the other, lengthwise, the row would reach a length of 840 meters.

-3.2

this has already been answered :))

https://web2.0calc.com/questions/find-the-value-of-cfrac-1-1-cfrac-1-2-cfrac-1-1-cfrac-1-2-dotsb

omg thank you so much for your help!!!!! :D

this question has already been answered :)

https://web2.0calc.com/questions/help_81031