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r-ruslan [8.4K]
3 years ago
12

Reduce the fraction -20t5u2v3 / 48t7u4v .

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0
Deal with the numbers and variables step by step 

-20/48  = -5/12
t5 / t7 = t^-2 = 1 /t2
u^2 / u^4 = u^-2 = 1/u^2
v^3 / v = v^2

so answer is      -5v^2 / 12t^2u^2
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What number of unique rhombuses can be constructed if the measurement of an angle is 40°, and the length of a line segment is 8
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8 0
3 years ago
Evaluate. or Calculate the value
natta225 [31]

-- The difference of 2 logs is the log of the quotient of their arguments.

             log(11) - log(6) = log(11/6)

-- 1/3 of the log of something is the log of its cube root.
 
                     1/3 log(8) = log(∛8) = log(2)
and
                     1/3 log(729) = log(∛729) = log(9)

-- If a bunch of logs all have the same base, then their sum
is the log of the product of the arguments.  So ...

         log(11) - log(6) + 1/3 log(8) + 1/3 log(729)  =

         log(11/6 times 2 times 9)  =

         log( 11*18 / 6 )  =  <em>log(33)</em>

                                      log(33) = about <em>1.519</em> (rounded)

============================================

The other way:

log(11) =                  1.0414
-log(6) =                  -0.7782
log(8) = 0.9031
       1/3(0.9031) =     0.3010
log(729) = 2.8627
           1/3(2.8627) = 0.9542
                              -----------
Adum up:                 <em>1.5184</em>

(Note:  Everything is rounded.)


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