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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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Mars2501 [29]

Answer:

  y = 2x−2

Step-by-step explanation:

You are given a slope and a point, so you can write the equation using point-slope form:

  y -k = m(x -h) . . . . . . a line with slope m through point (h, k)

Putting in the numbers given, you have ...

  y -6 = 2(x -4)

  y = 2x -8 +6 . . . . eliminate parentheses, add 6

  y = 2x -2 . . . . . . . collect terms.

__

You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.

  • 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
  • 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
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5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%2023%289x%2B6%29%3D6x%2B4" id="TexFormula1" title="\sf 23(9x+6)=6x+4" alt="\sf 23(9x+6)=
ozzi

The value of x from the given expression is; x= -2/3

<h3>Solving one-variable equations</h3>

The given expression is;

  • 23(9x+6) = 6x + 4.

Hence, when we expand the equation; we have;

  • 207x + 138 = 6x +4

  • 207x - 6x = 4 - 138

  • 201x = -134

  • x = -134/201

  • x = -2/3

Read more on one-variable equations;

brainly.com/question/21528555

4 0
2 years ago
Read 2 more answers
Which points in the graph are in quadrant IV
Mama L [17]

Quadrant IV is also known as the 4th quadrant. Imagine it like a C: 1st quadrant is in the top right, 2nd quadrant is in the top left, 3rd quadrant is in the bottom left, and the 4th quadrant is in the bottom right. With this information in mind, the answer is A) P, B, K

7 0
3 years ago
Read 2 more answers
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navik [9.2K]

Answer:

Because i have no more information i assume you would like it to be solved.

x < -1 or -1/3 < x < 1

4 0
3 years ago
In a recent year, 27.9% of all registered doctors were female. If there were 53,700 female registered doctors that year, what wa
Elis [28]

Answer:

The total number of registered doctors was 192,473.

Step-by-step explanation:

This question can be solved using a rule of three.

53700 is 27.9% = 0.279. The total number of registered doctors is x, which is 100% = 1. So

53700 doctors - 0.279

x doctors - 1

0.279x = 53700

x = \frac{53700}{0.279}

x = 192473.11

Rounding to the nearest whole number.

The total number of registered doctors was 192,473.

5 0
3 years ago
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