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Angelina_Jolie [31]
2 years ago
15

Which expression represents the surface area of the

Mathematics
2 answers:
goldfiish [28.3K]2 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]2 years ago
5 0

Answer:

the answer is a I think your welcome

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What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
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<span>3x + y = 9 (I)
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------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
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\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

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