Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Answer:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Step-by-step explanation:
The together rate is the sum of each separate rate.
Person A can paint the neighbor's house 5 times as fast as Person B.
This means that the rate of person A is 1/x, and the rate of person B is 1/5x.
The year A and B worked together, it took them 10 days.
This means that:

Multiplying everything by 10x


This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
No, the sum of the lengths of any two sides must be greater than the length of the third side