The volume of a triangular pyramid<span> can be found using the </span>formula<span> V = 1/3AH where A = area of the triangle base, and H = height of the </span>pyramid<span> or the distance from the </span>pyramid's<span> base to the apex.</span>
Step-by-step explanation:
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Answer:
a) 
b) 
c) 
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is 
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is 
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is 
Answer:
The maximum height of the ball is 256m
Step-by-step explanation:
Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t
At maximum height, the velocity of the ball is zero.
velocity = dh/dt
velocity = -32t + 128
Since v = 0 at maximum height
0 = -32t+128
32t = 128
t = 128/32
t = 4seconds
The maximum height can be gotten by substituting t = 4 into the modelled equation.
h = -16t² + 128t
h = -16(4)²+128(4)
h = -16(16)+512
h = -256+512
h = 256m