Answer: 19.8 Units
Step-by-step explanation:
The triangle is shown in the attached figure, and have three vertices:
,
and
.
Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.
In this sense, the modulus
is calculated as shown:

Hence, for each vector:



Now, the perimeter of a triangle is the sum of its three sides:

Finally:

Answer:
27%
Step-by-step explanation:
The ratio means that for every 11 games won, 4 are lost, so the team has won 11<em>x</em> games, lost 4<em>x</em> games, and played 15<em>x</em> games for some positive integer <em>x</em>. The percentage of games lost is
4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%
Answer:
1) Brazil - 190,000,000
2) Egypt - 77,000,000
3) Australia - 20,000,000
4) Singapore - 4,400,000
5) Luxembourg - 470,000
Answer:
4m(4m-3)
Step-by-step explanation:
16m^2 − 12m
16 m^2 = 2*2*2*2*m*m
12m = 2*2*3*m
The greatest factor for 16m^2 and 12m is 2*2*m or 4m
Factor out 4m
16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)
12m = 2*2*3*m = 4m(3)
Factoring out 4m
16m^2 − 12m
4m(4m-3)
The answer is no
Simplify 8/64= 1/8= 0.125
1/4= 0.25