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Angelina_Jolie [31]
3 years ago
15

Which expression represents the surface area of the

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0
<h3>Solution:</h3>

Surface area is the sum of the area of faces.

<u>This means that:</u>

  • Surface area of prism = 4(area of triangle) + area of square

<u>Finding the surface area of the prism.</u>

  • => Surface area of square based prism = 4(1/2 x 2 x 3) + 2 x 2
  • => Surface area of square based prism = 4(3) + 4
  • => Surface area of square based prism = 12 + 4 = 16 units²

<u>Verifying Option A</u>

  • 4 + 6 + 6 + 6 + 6
  • => 4 + 24
  • => 28 units² ≠ 16 units²

Thus, Option A is incorrect.

<u>Verifying Option B</u>

  • 3 x 2
  • => 6 units² ≠ 16 units²

Thus, Option B is incorrect.

<u>Verifying Option C</u>

  • 4 + 3 + 3 + 3 + 3
  • => 4 + 12
  • => 16 units² = 16 units²

Thus, Option C is correct.

<u>Verifying Option D</u>

  • 4 x 3
  • => 12 units² ≠ 16 units²

Thus, Option D is incorrect.

<u>In conclusion...</u>

Option C is correct.

padilas [110]3 years ago
5 0

Answer:

the answer is a I think your welcome

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8x + 4 = 3 (X - 1) + 7
Igoryamba

Answer:

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Step-by-step explanation:

8x + 4 = 3x - 3 +7

u first expand the bracket as I have done above

then u evaluate those who have like terms close like -3 + 7

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3 years ago
In the decimal number 1.98703, the 0 holds what place value? A. Thousandths B. Ten-thousandths C. Hundred-thousandths D. Hundred
zzz [600]

Answer:

B. ten-thousandths

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PLEASE HELP I WILL MARK BRAINLIEST SHOW WOrK HOW YOU GOT IT
nadya68 [22]

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

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Perform the indicated operations. x+1/3y+x-2/4y-x=3/6y
Varvara68 [4.7K]
The answer: 
_____________________________________________
x = (⅔)y ;

 y = 3x/2.
_____________________________________________
Given:

x + (⅓)y + x - (2/4)<span>y - x = (3/6)y ;
______________________________________ 
</span>
Take  the:  x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ; 

and rewrite:

x + (⅓)y - (2/4)y = (3/6)y ;
_______________________________
 Note that:  (2/4)y = (<span>½)y ; 

        and:   (3/6)y = (</span><span>½)y ;  so;
___________________________
Rewrite as:
____________________________
</span>x + (⅓)y - (½)y = (½)y ;

Add "(½)y" to EACH SIDE of the equation;
_________________________________
    x  +  (⅓)y  -  (½)y  + (½)y = (½)y + (½)y ;

to get:  x +  (⅓)y = y ; 

x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ; 

So:  x = (<span>⅔)y ;

In terms of "y" ; 

Given:  </span>(⅔)y = x ; Multiply each side of the equation by "3" ; 

3*[(⅔)y] = 3*x ;
 
 to get:  2y = 3x ;

Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):

     2y / 2 = 3x / 2 ;

to get:  

      y = 3x/2 ;
___________________________________

6 0
4 years ago
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