Tetrahedron is a geometrical figure or solid that is formed in similar manner as a pyramid. The faces of the formed pyramid are triangles. Also is the base.
By the statement above, it can be deduced that the figure has four sides. The number of ways in which the sides can be colored by any of the three (3) colors is,
3 x 3 x 3 x 3 = 81
Since the sides can still have the same colors, we deduct this value by 3 in order to eliminate the uniform colors of the four sides.
= 81 - 3 = 78
Also, we can eliminate the concern on only two colors can mix,
= 3 x 2 = 6
Subtracting,
78 - 6 = 72
Hence, the answer is 72.
When a plane travels 395,000 meters in 9,000 seconds its speed is 395,000 ÷ 9000 = 43.888888 (the 8 repeats) meters per second.
Answer:
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Explanation:
Answer:
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Explanation:
Answer:
v = 4.264 m/s
Explanation:
It is given that,
Mass of the ball, m = 0.15 kg
Spring constant of the spring, k = 150 N/m
The spring is compressed by a distance, x = 0.05 m
The pellet's initial velocity is at an angle θ (θ < 90) above the horizontal.
Let v is the final speed of the projectile when it is at a distance h = 0.800 m below its initial height. It can be calculated using the conservation of energy as :
v = 4.264 m/s
So, the final speed of the projectile is 4.264 m/s. Hence, this is the required solution.
