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never [62]
3 years ago
12

This prism has a surface area of 172 cm². What would the surface of the prism be if each dimension was tripled? ( Scale factor i

s 3 )

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

1356 cm²

Step-by-step explanation:

Each dimension gets multiplied by 2, so the new dimensions are

changed from 2x8x7 to 6x24x21

There are 6 faces to the prism,

The area of the front and back are 6x21 = 126.  There are 2 of them for a total area of 126x2 = 252 cm²

The are of the left and right sides are 24x21 = 504.  There are 2 of them for a total area of 504x2 = 1008 cm²

The area of the top and bottom are 6x24 = 144, there are 2 of them for a total area of 144x2 = 288 cm²

The total surface area is 252 + 1008 + 96 = 1356 cm²

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Vera_Pavlovna [14]
This would be the equation:

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3 years ago
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Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x2 + 3x = 10 16. 4x2 = 100
andreyandreev [35.5K]
14.  (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0.  We can set each term equal to 0 to find the solutions:

2x - 1 = 0
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x + 7 = 0
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15.  x^{2} +3x=10

To solve this equation, you first need to set it equal to 0:

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Next, it can be factored:

x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0

Finally, we can solve just like we did above:

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First, you can simplify by dividing each side by 4:

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6 0
3 years ago
Factor.<br><br> 3x(y−4)−2(y−4)<br><br><br><br> Enter your answer in the box.
NISA [10]

Answer: Use the distributive property to multiply 3 by y−4.

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y−4

Step-by-step explanation:

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2 years ago
Help a girl out please!
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Quadratics Help please?
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3 years ago
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