Answer:
Yes; the corresponding sides are proportional
Step-by-step explanation:
If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.
Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:
5/3 = 25/15
Cross multiply:
5(15) = 3(25)
75 = 75
We got a true statement, so the sides are proportional.
Tigers:-
f(t) = 7(1 + 0.1)^2 where t = number of years
Eagle
g(t) = 15 + 2t
B after ten year number tigers = f(t) = 7(1 + 0.1)^10 = 18
number of eagles = 15 + 10(2) = 35
C when the number of tigers = number eagles the 2 functions will be equal;-
f(t) = g(t) that is:-
7* 1.1^t = 15 + 2t
solve for t
1 DOC
2 BOC
3 EOC
4 AOD
5 AOC
Answer:
Step-by-step explanation:
[4 2] * -2 5 = [ 4*-2 + 2*7 4*5+2*-1]
7 -1
= [-8+14 20-2]
= [6 18]
What we know:
1/6 = what Cody wathed
1 stands for the unit that cody has watched a move (minutes)
6 = stands for the entire length of the movie (minutes)
Tharefore: If 6 stands for the entire length of the movie the movie is equal to 3 hours. However we are giving the unit in minutes not in hours, it would be:
3 x 60 = 3 stands for the ours 60 stands for minutes in an hour. That equals to 180.
This means that the 6 = 100% = 180min of the movie.
To figure what 1 stands for we need to divide 1/6. That will equal to 0.1(6). 0.1(6) x 180 (minutes of the entire movie) = 30 which would be the answer. Here is what you should have done using mathematical communication:
converting 3 h to minutes:
3 x 60 = 180 minutes
180 = the length of the entire movie
1/6 = 0.1(6)
0.1(6) x 180 = 30
... 30 /180 is the fraction of minutes that Cody spend watching the movie
in other words Cody just spent 30 min watching the movie.
