Answer:
2/3
Step-by -step explanation:
The Given equation is , 3 x + x = 440,
Let speed of train A is x Km/hour and Speed of train B which is a Bullet train which starts from same station but from different platform is 3 times the speed of train A.
And Sum of their Velocities is i.e Velocity of train A and Velocity of train B is 440 Km/hour.
Answer:
8 units.
Step-by-step explanation : We are asked to find the length of the segment with endpoints (-3,4) and (5,4).
By applying Pythagoras theorem, the missing segment lengths of this triangles include:
- CD = 10√2
- AC = 10√2
- BC = 10
- AB = 10
<h3>How to find the missing segment lengths?</h3>
Since triangle ACD is a right-angle triangle, we would use Pythagoras theorem to find the missing segment lengths of this triangles as follows:
c² = a² + b² ≡ AD² = CD² + AC²
Next, we would use cos trigonometric ratio to find side CD,
cos45 = adjacent/hypotenuse
cos 45 = CD/20
1/√2 = CD/20
CD = 1/√2 × 20
CD = (20√2)/2
CD = 10√2
For side AC, we have:
AD² = CD² + AC²
AC² = AD² - CD²
AC² = 20² - (10√2)²
AC² = 400 - 100(2)
AC = √200
AC = 10√2
From triangle ABC, we have:
cos45 = BC/10√2
BC = 10√2 × cos45
BC = 10√2 × 1/√2
BC = (10√2)/√2
BC = 10
For side AB, we have:
AB² = (10√2)² - 10²
AB² = 200 - 100
AB² = 100
AB = 10.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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