Answer:
The longest day of the year is day 172
Step-by-step explanation:
Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1
We now solve this to find the day at which this maximum value occurs.
sin[2π(t−80.75)/365] = 1
[2π(t−80.75)/365] = sin⁻¹(1)
[2π(t−80.75)/365] = π/2
dividing both sides by 2π/365, we have
[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365
t−80.75 = 365/4
t−80.75 = 91.25
t = 91.25 + 80.75
t = 172
The longest day of the year is day 172
Answer:
0.3056 or 30.56%
Step-by-step explanation:
The volume of the grapefruit with the peel is:
When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:
The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:
30.56% of volume of the grapefruit is the peel.
Answer:
D. D: 0 ≤ b ≤ 10; R: 0 ≤ W(b) ≤ 120
Step-by-step explanation:
The problem statement tells you Owen can build up to 10 birdhouses, and that b represents that number. Then 0 ≤ b ≤ 10 is the domain described by the problem statement.
It also tells you that W(b) = 12b, so filling in values from 0 to 10 gives a range from 0 to 120: 0 ≤ W(b) ≤ 120.
These observations match choice D.
