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Arlecino [84]
3 years ago
10

What is the volume of the following rectangular prism?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

1/10 units^3

Step-by-step explanation:

V=(Area of base)(height)

 = 3/20 times 2/3

 = 6/60

 (simplified)= 1/10

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well, from the 1st  equation, we know what "c" is already, so let's just plug that in the 2nd equation and solve for "b".

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well, now let's plug that "b" into our 3rd equation and solve for "a".

\bf -19=9a-3b-7\implies -12=9a-3b\implies -12=9a-3(-1-7a) \\\\\\ -12=9a+3+21a\implies -15=9a+21a\implies -15=30a \\\\\\ -\cfrac{15}{30}=a\implies \blacktriangleright -\cfrac{1}{2}=a \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{and since we know that}}{-1-7a=b}\implies -1-7\left( -\cfrac{1}{2} \right)=b\implies -1+\cfrac{7}{2}=b\implies \blacktriangleright \cfrac{5}{2}=b \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{2}x^2+\cfrac{5}{2}x-7~\hfill

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