Answer:
4.71 ft^2
Step-by-step explanation:
to calculate area its pie * diameter with the diameter in this question being 1.5 and when it says to the nearest hundredth it means to the second away from the point
Answer:
31.2
Step-by-step explanation:
156 * .2 = 31.2
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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92 males buy tickets so
200-92=108
so 108 females buy tickets
30 males buy business and a total of 44 people (female and male) but business so 44-30=14
14 females buy business
108-14(business ticket) = 94 females left.
62 of those 94 females buy economy tickets
so therefore 94-62=32. 32 females left over
14 females = business
62 females = economy
14 + 62 = 76
108 - 76 = 32
32 remaining females buy premium
it says a total of 60 people buy premium so 60 - 32 = 28
so 28 males buy premium
hope this helped
Answer:
B. logarithms of negative number don't exist
