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Umnica [9.8K]
3 years ago
14

How many different 2-digit numbers are there with the following property: the tenth digit is greater than the units digit?

Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

There is 45 different 2-digit numbers.

Step-by-step explanation:

My way is kinda dumb, but it still works. So, 2 digit numbers is from 10-99. We can start from the 10-19 first.

10, 11,12,13,14,15,16,17,18,19

We need to find the numbers that the tenth digit is greater than the units digit.

<u>10</u>, 11,12,13,14,15,16,17,18,19

Since 1 is the tenth digit, all the ones digits are all going to be bigger. Same goes with 20-29. Then you will have 2 numbers that the tenth digit is greater. My way applies when the tenth digit is only less than the ones digit, not greater. If you do this way...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

10-19: 1 number

20-29: 2 numbers

30-39: 3 numbers

40-49: 4 numbers

50-59: 5 numbers

60-69: 6 numbers

70-79: 7 numbers

80-89: 8 numbers

90-99: 9 numbers

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So, if you add 1+2+3+4+....+9(which all of you probably memorized by now) it would be 45. The answer is 45. Hope this helped!

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Answer:

<h2>972 pi ft^3</h2>

solution,

Volume of this composite figure

= Volume of cylinder+volume of cone

Formula to find volume of cylinder:

\pi \:  {r}^{2} h

Formula to find volume of cone:

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Use,

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Here,

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Nowz

Volume of the figure:

\: pi \:  {r}^{2} h +  \frac{1}{3}  \: pi \:  {r}^{2} h \\  =  \: pi \times  {(9)}^{2}  \times 10 +  \frac{1}{3}  \times  \: pi \times  {(9)}^{2}  \times 6 \\  =  \: pi \:  \times 81 \times 10 +  \frac{1}{3}  \times 21 \times 6 \times  \: pi \\  = 810 \: pi + 162 \: pi \\  = 972 \: pi \:  {ft}^{2}

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