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laiz [17]
3 years ago
12

Find the volume of the composite solid.

Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

Equal.

Step-by-step explanation:

The volume of the rectangular prism is:

V = length x width x height

V = 3a x 2b x c

V = 6abc

The volume of the pyramid is:

V = (base area x height)/3

V = (a x b x 18c)/3

V = 18abc/3

V = 6abc

The two volumes are equal.

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The slope of a line parallel to<br> -x + y = 12 equals what?
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1. parallel lines have same slope
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A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32
NARA [144]

9514 1404 393

Answer:

  {4, 5, 6, 7, 8}

Step-by-step explanation:

The inequality related to the perimeter is ...

  x +(x +4) +11 < 32

  2x < 17 . . . . . . . . . . . . subtract 15

  x < 8.5

The inequality related to the triangle inequality is ...

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  2x > 7

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Then possible whole-number values of x are ...

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6 0
2 years ago
Read 2 more answers
What is the value of B for the following triangular prism?
damaskus [11]

Step-by-step explanation:

\frac{1}{2} (10)(12) \\  \frac{1}{2} (120) \\ 60 {cm}^{2}

6 0
2 years ago
Please Help Me!! Its for tomorrow and i rlly need help pls pls pls pls
DanielleElmas [232]

Answer:

perimeter = 6x + 15

Step-by-step explanation:

The perimeter of the triangle is the distance around the triangle.

We need to apply our ability to convert word problems in to mathematical expressions.

We were told that the bottom of the triangle is x units.

From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15

Four times the length of the bottom will be 4x .

12 more than 4 times the bottom will be 4x + 12.  

Hence another side of the triangle is 4x + 12.

Finally we were told that the last side is 3 more than the bottom, that will be      x + 3.

4 0
2 years ago
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