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Licemer1 [7]
4 years ago
13

Find the volume of the solid shown or described. If necessary round to the nearest tenth. What is the volume of the shed?

Mathematics
1 answer:
S_A_V [24]4 years ago
6 0

Answer:

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

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6 0
2 years ago
Solve for a.
tamaranim1 [39]
The correct answer is:  [C]:  " a =  ± \sqrt{25 - b^2}  " .
<span>___________________________________________________________
Explanation:
_________________________________________________________
We are given:  
_________________________________________________________
    </span>→   "  25  =  a²  +  b²  "  ;   Solve for "a" ; 
_________________________________________________________

    →  To solve for "a" ;  we want to isolate "a" on one side of the equation.
_________________________________________________________
We can rewrite:  "  25  =  a²  +  b²  "  ;

as:  " a²  +  b²  = 25 " .

_________________________________________________________
Then, we can subtract " b² "  from each side of the equation; as follows:
_________________________________________________________

   →
 " a²  +  b²  −  b²  =  25 − b²  "  ;

to get:
_________________________________________________________
   →  " a²  =  25 − b²  "  ;
_________________________________________________________
  →  Now,  take the square root of EACH SIDE of the equation ; 
to isolate "a" on one side of the equation; & to solve for the value(s) of "a" ; 
_________________________________________________________

  →  √(a²)  = \sqrt{25 - b^2}  ;

to get:
_____________________________________________________
  →    a   =  | \sqrt{25 - b^2} |  ;

  →    a   =  ±  \sqrt{25 - b^2}  ; 
  
  →  which is:  Answer choice:  [C]:  " a =  ±  \sqrt{25 - b^2}  " .
______________________________________________________
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