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ki77a [65]
3 years ago
7

Find the volume of the prism.

Mathematics
2 answers:
Nataliya [291]3 years ago
7 0
Choice D.) would be correct
abruzzese [7]3 years ago
3 0

First, let's find the area of the triangle:

A=\dfrac{1}{2}bh=\dfrac{1}{2}\times3\times4=6

Now, we multiply this area by the length of the prism, which is 20

20\times6=120

All 3 answers have 120. However, since we're calculating volume, it will be represented by \text{units}^3. Since no specific unit (such as cm or in) is specified, it will be left at that.

Thus, the answer is answer choice D.

Let me know if you need any clarifications, thanks!

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Step-by-step explanation:

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Which of the points listed below is not on the line with equation 7y+2=3x-5
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Answer: Second option.

Step-by-step explanation:

Given the folllowing Linear Equation:

7y+2=3x-5

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1) Substituting  (2, -\frac{1}{7}) into the equation, you get:

7(-\frac{1}{7})+2=3(2)-5\\\\-1+2=6-5\\\\1=1\ (TRUE)

2) Substituting the point (3, -\frac{3}{7}). you get:

7(-\frac{3}{7})+2=3(3)-5\\\\-3+2=9-5\\\\-1=4\ (FALSE)

3) Apply the same procedure using the point (1, -\frac{4}{7}):

 7(-\frac{4}{7})+2=3(1)-5\\\\-4+2=3-5\\\\-2=-2\ (TRUE)

4)  Apply the same procedure using the point (-1, -\frac{10}{7})

 7(-\frac{10}{7})+2=3(-1)-5\\\\-10+2=-3-5\\\\-8=-8\ (TRUE)

5) Substituting  (0,-1) into the equation:

 7(-1)+2=3(0)-5\\\\-7+2=-0-5\\\\-5=-5\ (TRUE)

Therefore, the point (3, -\frac{3}{7})  is not on the given line.

8 0
3 years ago
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