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Maru [420]
3 years ago
5

Find the gcf of 18a,20a,ang 6a please show work

Mathematics
2 answers:
Hatshy [7]3 years ago
7 0
18a: 3*3*3*2*a

20a: 2*2*5*a

6a: 3*2*a
the greatest common factor is 2a

sveta [45]3 years ago
6 0
Factors of 18: 1,2,3,6,9,18
factors of 20: 1,2,4,5,10,20
factors of 6: 1,2,3,6

prime factors of 18: 2,3,3,
prime factors of 20: 2,2,5
prime factors of 6: 2

gcf is 2
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In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in
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Answer: year 2194



Explanation:



1) Model the jump of the women:


i) initial jump = 70.0 in


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2) Model the jump of the men:


i) initial jump 86.5 inches.


ii) increase rate, 0.4%.


iii) equation: h = 86.5 (1 + 0.004)ⁿ


3) Equal the two equations (h = h) to find when the jumps will be equal:


i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ


ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ


ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0


iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0


iv) n log (1.0048 / 1.0040) = log ( 86.5/70)


v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266


3) year = 1928 + 266 = 2194


That is in the year 2194

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