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29.03.2021 •
Mathematics
In the figure below, the triangles are similar. Find the ratio of their areas from larger to smaller.
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Ответ:
21:14=x:8
x=21•8/14
x=168/14
x=12
x=base of triangle
A2=h•b/2
21^2=6^2+h^2
441=36+h^2
h^2=441-36
h^2=405
h= √405
h=20.12
A1=12•20.12/2
A1=6•20.12
A1=120.72
Area of smallest triangle is A2
A2=b•h/2
h=?
14^2=4^2+h^2
196=16+h^2
h^2=196-16
h^2=180
h= √180
h=13.42
A2=8•13.42/2
A2=4•13.42
A2=53.68
Ratio 120.72:53.68
Ratio=2.25
Ответ:
A. Rolling a die and getting 1 and 2.
B. Drawing a spade from a deck of cards.
because A. has a 2 out of 6 % chance of getting it
and B. because you have a 12 out or 52 % or 1 out of 4 % chance of getting it