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kondor19780726 [428]
2 years ago
6

Mr butterworth baked a cake in the shape of a cylinder the cake had a diameter of 9 in and a height of 5 in. He spread chocolate

icing over the entire cake (except the bottom) how many square inches of icing did he use?
Mathematics
2 answers:
Luden [163]2 years ago
7 0
So, we need to find {  curved surface area[pi*d*h] + top area[pi*(d^2)/4]  }

just
substitute.
ZanzabumX [31]2 years ago
6 0
Your answer should be 1271.7 in(sqrd) because you have to find the area of the base and then multiply that by 5in.
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Marizza181 [45]

Looks like the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}

The series telescopes; consider the kth partial sum of the series,

S_k=\displaystyle\sum_{n=1}^k\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}

S_k=\displaystyle\left(\frac3{\sqrt3}-\frac32\right)+\left(\frac32-\frac3{\sqrt5}\right)+\cdots+\left(\frac3{\sqrt{k+1}}-\frac3{\sqrt{k+2}}\right)+\left(\frac3{\sqrt{k+2}}-\frac3{\sqrt{k+3}}\right)

\implies S_k=\dfrac3{\sqrt3}-\dfrac3{\sqrt{k+3}}

As k\to\infty, the second term converges to 0, leaving us with

\displaystyle\sum_{n=1}^\infty\frac3{\sqrt{n+2}}-\frac3{\sqrt{n+3}}=\frac3{\sqrt3}=\boxed{\sqrt3}}

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2 years ago
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Marina86 [1]
X = 2y + 8
x - y = 25

2y + 8 - y = 25
y = 25 - 8
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x = 2y + 8
x = 2(17) + 8
x = 34 + 8
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the larger number (x) = 42...and the smaller number (y) = 17
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Answer:

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Answer:

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