Answer:
Weight of Train A = 454 tons
Weight of Train B = 35 tons
Step-by-step explanation:
It is given that:
Let,
A represent weight of Train A
B represent weight of Train B
According to given information:
A + B = 489 Eqn 1
A - B = 419 Eqn 2
Adding Eqn 1 and 2
A + B + A - B = 489 + 419
2A = 908
Dividing both sides by 2
Putting A = 454 in Eqn 1
454 + B = 489
B = 489 - 454
B = 35
Therefore,
Weight of Train A = 454 tons
Weight of Train B = 35 tons
In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.
The area of a triangle is found by the formula 1/2 x base x height
Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).
The area is given as 0.72 square units.
Now you have 0.72 = 1/2 x S^2
First multiply both sides by 2:
1.44 = S^2
To find S, take the square root of both sides:
S = √1.44
S = 1.2
The side length is 1.2 units.
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Step-by-step explanation:
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