To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
A) if 18 muffins = 1 box,
1020 muffins = 1020/18 boxes
= 56.67 boxes
So they used 56 full boxes.
b) if 25 cookies = 1 bag
2820 cookies = 2820/25 bags
= 112.8 bags
So they used 112 full bags.
c) the remainders from a and b represent muffins and cookies left over.
Well, if 6/4 equals 1.5 --
Then 1.5*5, (which is the next quantity of days before it hits 9) equals 7.5.
Hope this helps.
Answer:
A. 51°
Step-by-step explanation:
By the theorem of intersecting secants.
