Help, I’m stuck. Thank you very much

Mathematics

1 answer:

ZanzabumX [31]4 years ago

5 0

If you notice, the container is really just two circles, with a diameter of 4 each, and a square with sides of 10.5.

now, if we just get the area of each circle, keeping in mind their radius is half of the diameter, namely r = 2, and get the area of the 10.5x10.5 square, sum them up, that'd be the surface area of the container.

$\bf \stackrel{\textit{2 circle's area}}{2(\pi r^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}
\\\\\\
\stackrel{\textit{2 circle's area}}{2(\pi 2^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}\implies 8\pi + 110.25$

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Answer:

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We are going to use 'q' as the number of quarters Rafael had,
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We can now use substitution to solve our system.

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From here, simply solve using PEMDAS.

3.50=0.05n+0.25(n+8)     --Distribute 0.25 to the n and the 8
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We now know how many nickels he has, but the question is asking us
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Simply substitute our now-known value of n into either of our previous
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We now know that Rafael had 13 quarters.

To check, just substitute our known values for our variables and solve.
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Nat2105 [25]

Step-by-step explanation:

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