Answer:
t = 25.1seconds
Step-by-step explanation:
X(t)= 16cos75°t
Y(t)= 6 + (Vosin75°t - 16t^2)
Converting 78 yards to feet :
1 yard = 3 feet
78feet =?
78×3=234 feet
Y(t)= number of feet above the ground at t seconds
VoCos75° t = 234
t = 234/(VoCos75°)
At this time,4 = y(234/VoCos75°)
4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2
Vo= 140.66ft/s
Time,t= 234/(140.66× Cos75°)
t = 25.087seconds
t= 25.1 seconds (1 decimal place)
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:
Where r is the radius and h is the height.
Volume of the cone A:
Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:
Then:
Divide 
by 
:
Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
Your answer is E. $25.
First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:
2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46
Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18
Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25
I hope this helps! Let me know if you have any questions :)
