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lina2011 [118]
3 years ago
12

Last Question <3 Thanks in advance

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0
The answer is B) 
~kashout 
tatyana61 [14]3 years ago
7 0
Where does this line cross the y-axis?  Answer:  at (0, -1).  This is your y-intercept (b).
                                                        rise       -4 - 2
What's the slope of this line?  m = ------- = ----------- = -3
                                                         run       1 - (-1)

Thus, the equation of this line is y = -3x - 1.
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Step-by-step explanation:

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ipn [44]

9514 1404 393

Answer:

  • rectangular prism: 288 ft³
  • triangular prism: 72 ft³
  • total: 360 ft³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

  V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

__

The volume of a triangular prism is found from the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

  A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

  B = 1/2(6 ft)(4 ft) = 12 ft²

  V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

__

The total volume of the given geometry is the sum of the volumes of the parts:

  aquarium volume = 288 ft³ +72 ft³ = 360 ft³

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