Answer:
I think the answer is 1280
Answer:
1071.2
Step-by-step explanation:
Answer:
5 ft/s
Step-by-step explanation:
Let L be the length of the ladder. The relation between the angle and distance X is:
X = L * sin θ the change of X will be:
dX/dt = L * cos θ If we evaluate the expression when θ = π/3, we get the change of X:
dX/dt = 10 * cos(π/3)
dX/dt = 5 ft/s
Answer:
There will be 916 ants alive after 4 months.
Step-by-step explanation:
Step 1
Let's change the percentage to a decimal by dividing by a 100.
6.5% / 100 = .065
Step 2
So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.
1200 * .065 = 78
This means that after the first month, 1200 - 78 = 1122 ants will be alive.
Step 3
Now for the second month: 1122 * .065 = 72.93 (rounded to 73)
1122 - 73 = 1049 ants will be alive
Step 4
For the third month 1049 * .065 = 68.185 (rounded to 68)
1049 - 68 = 981 ants will be alive
Step 5
For the fourth month 981 * .065 = 63.765 (rounded to 64)
981 - 64 = 916 ants will be alive
Hope this helps!