SOLUTION: Please help me solve the following problem for c. 550,000 = {1} Divided by {2pie}Times the square root of {.000000000010 Times c} The text provideds the answer but does not e

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve the following problem for c. 550,000 = {1} Divided by {2pie}Times the square root of {.000000000010 Times c} The text provideds the answer but does not e      Log On


   



Question 78697: Please help me solve the following problem for c.
550,000 = {1} Divided by {2pie}Times the square root of {.000000000010 Times c}
The text provideds the answer but does not explain how to slove it.



Any help would be greatly appreciated.
Thanks,
Michael H.

Answer by mathdoc314(58) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure how to read your expression. You put 1 divided by, and then a bunch of stuff, so I'm not sure when to stop dividing.
One way is this, which sort of seems more normal to me

+550000+=+%281%2F%282+pi%29%29+%2A+sqrt%28+0.000000000010+%2A+c+%29++
++550000+%2A+2+pi=+sqrt+%28+0.000000000010+%2A+c+%29+
++%28550000+%2A+2+pi%29%5E2+=+0.000000000010+%2A+c+
++%28550000+%2A+2+pi%29%5E2+%2F+%280.000000000010%29+=++c+
++%28550000+%2A+2+pi%29%5E2+%2F+%280.000000000010%29+=++c+
It may be helpful to see the scientific notation for these numerical constants:
++%285.5+%2A+10%5E5+%2A+2+PI%29%5E2+%2F+%2810%5E-11%29+=++c+
+c+=+10%5E11+%2A+%285.5+%2A+10%5E5+%2A+2+pi%29%5E2+
+c+=+10%5E21+%2A+11%5E2+%2A+pi%5E2+
+c+=+1.194+%2A+10%5E24+ approximately

here's the other possibility

+550000+=+1%2F%282+pi+%2A+sqrt%28+0.000000000010+%2A+c+%29+%29++
+sqrt%28+10%5E-11+%2A+c%29+=+1+%2F+%282+pi+%2A+550000%29+
+10%5E-22+c+=+1+%2F+%284+pi+%5E2+%2A+5.5%5E2+%2A+10%5E10%29+
+c+=+10%5E12+%2F+%28pi+%5E2+%2A+11%5E2%29+
+c+=+8.374+%2A+10%5E8+ approximately.