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60^(1/a)  = 3

Take  the log  of both sides

log 60^(1/a)  = log 3

(1/a)  log 60  = log 3

1/a  =   log 3 /log 60

Similarly  (1/b)  = log 10  / log 60

And  (1/c)    =  log  120   / 60

(bc  +  ac +  ab)  / abc   =      1/a  + 1/b   +  1/c   =

log  3  / log 60   +  log 10 / log 60  + log 120 /log 60   =

(log 3   + ;log 10  +  log 120) / log 60   =

log  (3* 10  * 120)  / log 60  =

log(3600)  / log (60)  =

log 60^2  / log 60  =

2l log 60   / log  60  =

2

It is already simplified. You can't simplify further.

Thank you!

yeah simplify pls

Simplify?

Rate  * Time   =   Distance

Since  the  disi\tance is the same both ways we have

15 min  = 1/4 hr

9 min =   9/60  hr    =  3/20  hr

x * 1/4  =  (x + 3) (3/20)  simplify

x/4  = (3/20(x   +  9/20       nultiply throigh  by  20

5x  = 3x  +  9

5x - 3x   =  9

2x =  9

x = 9/2   = 4.5  mph  = walking speed

Thanks!

x = x0 + v0t + 1/2 at^2             

f _friction  = u m g                       (using g to avoid confusion)

f_f = ma    and   = umg 

         a = u g    

vf = vo + at

 0 = 6  + u g t

 0 = 6 - .1 (9.81) t       t = 6.12 sec

x = x0 + vo t - 1/2 at^2

  =  0   + 6(6.12) - 1/2 (.1)(9.81)(6.12)^2  = 18.35    meters   

NOW ---- off to fix those leaks.......

The  diagonals  of  a  rhombus  meet at right  angles

Side  length   =  sqrt  [  (diagonal  / 2)^2   +  ( diagonal/2)^2  ] =

sqrt  [ (6/2)^2  +  (8/2)^2  ]  = 

sqrt [ 3^2  + 4^2  ] =

sqrt  [ 9  + 16] = 

sqrt [25]   =  5

Area  =  product  of  diagonals  / 2  =  6 * 8  /  2  =    48  / 2  = =  24

\( \frac{x+1}{x}=3\)

\(x+1=3x\)

\(1=2x\)

\(\frac{1}{2}=x\) or \(x=\frac{1}{2}\)

so:

\(x^4 + \frac{1}{x^4}\)

\((\frac{1}{2})^4 + (\frac{1}{(\frac{1}{2})^4})\)

\(0.0625+\frac{1}{0.0625}\)

\(16.0625\)

Answer = 16.0625

Thanx Troller !      Yah....I did not look very far in to this problem....I suspected 'm' may cancel out in there, but my pucked brain doesn't have time right now...... water pipes are leaking ......grrrrr! 

~EP

It will still be 4th degree

ex    x^4  -x^2  + x          -     (x^2 + x)

    = x^4 -2x^2     Still 4th degree

The answer is 24

because of this formula                      diagonal * diagonal/2

so 6*8/2 = 24

Ernie pains 1/2 a house per hour

Lizzie pains 1/5 of a house in an hour

Together they paint  1/5  +  1/2   =  7/10 of a house in an hour

So that is 10/7   hours per house

\(\frac{10hours}{7houses}*2 houses= \frac{20}{7}hours\)

So that is   

2 hours  51minutes and 26 seconds  to the nearest second.

12, 15

60, 120.  240

Sum =  420

I didn't get that answer.

The are of an ellipe is pi *a *b

Where a and be are the lengths of the semi-major and semi-minor axes,

The rest is explained here:

$               $

The two long sides total 16.  The two short sides total (24 – 16) equals 8 so each one of them is 4. 

The ratio of width to length is 4:8 = 1:2.   I'm not sure what relatively prime means, but 1 is not a prime number.  

_.

Look up Pythagoras' Theorem.

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

In this triangle,                x²  =  23² – 16²   

                                       x²  =  529 – 256   

                                       x    =  sqrt(273)  

                                       x    =  16.5  

_.

Helpppppppppppp

\(\sqrt{14^2 - 3^2} = \sqrt{187}\)

This is about 13.7 cm.

There are 2pi radians in a revolution.  Each time you do a whole revolution the sine value starts again.

sin(2pi + x) is the same as sinx

sin (4pi + x) is also the same as sinx

so sin    (13pi/3)  is the same as sin?

Answer this first.

write tan in terms of sin and cos

write cosec in terms of sine and cos

Multiply.  What do you get?