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3 years ago

Sam wrote on the board counting numbers from 12 to 111:12, 13, 14, ..., 110, 111. How many digits did Sam write?

Mathematics

2 answers:

agasfer [191]3 years ago

7 0

Answer: Sam wrote 99 digits

Step-by-step explanation: Take the highest number minus the lowest number and that his how many numbers are between 12 and 111.

kotykmax [81]3 years ago

4 0

If I’m not mistaken he wrote from 12 to 111 correct? If so the answer would be 99

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The surface area of a cylinder is calculated as:

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Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

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Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

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Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

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$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

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