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fenix001 [56]
3 years ago
6

Lateral area of cylinder

Mathematics
1 answer:
enyata [817]3 years ago
7 0

lateral area = 2 X pi X r X H

= 2 x 3.14 x 5 x 9 = 282.6

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A ball is dropped from the top of a building that is 250 feet tall. The
Virty [35]

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

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Here there si two solutions :  t = \sqrt{175/16}   and  t =  - \sqrt{175/16}

However, as time cannot rewind,  we will  keep only positive solution

So t = \sqrt{175/16}

   

in seconds  it will be  :  3.3 seconds

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3 years ago
Find the sum of the first one hundred positive integers. see fig 6.26
nignag [31]
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
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This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.

Quick note
We can use a formula to find out the sum of an arithmetic series:
s =  \frac{n(n + 1)}{2}
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
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At the beach, Pancho and his sister both built sandcastles and then measured their heights. Pancho's sandcastle was 3/5 of a foo
lord [1]

1/5 of a foot

Simply subtract the height of Pancho’s sandcastle (3/5 of a foot) minus the height of his sister’s sandcastle (2/5 of a foot) to find a difference of 1/5 of a foot, meaning Pancho’s sandcastle was 1/5 of a foot taller than his sister’s sandcastle.

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