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.
Answer: A
Explanation:
The acceleration of gravity is always 9.8 m/s^2 downwards, even if the velocity is 0 m/s.
Answer:
Launch velocity of the fleas = 1.80 m/s
Explanation:
Optimal launch angle is the angle that guarantees the maximum horizontal distance covered.
Optimum launch angle = 45°
The horizontal distance covered by a projectile is given as Range
R = (u² sin 2θ)/g
u = initial velocity of the projectile (flea) = ?
R = range = 33 cm = 0.33 m
θ = 45°
2θ = 2 × 45° = 90°
Sin 90° = 1
g = acceleration due to gravity = 9.8 m/s²
R = (u²/g)
u² = Rg = 0.33 × 9.8 = 3.234
u = 1.80 m/s
Hope this helps!!!
Answer: 20.2 m/s
Explanation:
From the question above, we have the following data;
M1 = 800kg
M2 = 1200kg
V1 = 13m/s
V2 = 25m/s
U (common velocity) =?
M1V1 + M2V2 = (M1 + M2). U
(800*13) + (1200*25) = (800+1200) * U
10400 + 30000 = 2000u
40400 = 2000u
U = 40400 / 2000
U = 20.2 m/s
