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Fudgin [204]
2 years ago
7

The length and breadth of a rectangle are x CM and y CM respectively if the rectangle has an area of 24cm state the possible pai

rs of integer values of x and y, where x>y
Mathematics
1 answer:
ELEN [110]2 years ago
5 0

Answer:

The possible pairs of integer values of x and y are  (24 ,1), (12,2), ,(8,3),  and (6,4) .

Step-by-step explanation:

The length of the rectangle = x cm

The breadth of the rectangle = y cm

Area = 24 sq cm

Now,as x and y are both sides of the rectangle so, x and y ARE STRICTLY POSITIVE.

Also,  AREA OF RECTANGLE = LENGTH X BREADTH

⇒ x y  = 24 ,  x >y

So, all possible values of (x,y) =   (24 ,1), (12,2), ,(8,3),  and (6,4)

Hence, for area to be  24 sq units there are 4 possible dimensional sets.

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What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

_____________________________________________

 log (3x)  = 2.5 ;

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Rewrite as:  log₁₀ (3x) = 2.5 ;  

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Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

      and to solve for "x" ;

    →  3x / 3 =  316.2277660168379332 / 3  ;

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    →  round to 2 (two) decimal places;

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         →   " x = 105.41 " .

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 Hope this helps!

    Best wishes to you!

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Step-by-step explanation:

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