Answer:
Step-by-step explanation:
we know that
The area of a regular hexagon is the same that the area of 6 equilateral triangles
The area of 6 equilateral triangles applying the law of sines is equal to
where
b is the length side of the regular hexagon
we have
substitute
Answer:
Check the explanation
Step-by-step explanation:
Part (A)
Kindly check the First attached image below to get the explanation the part A question.
Part (B)
As calculated in part (A), if we have 40 numbers of buns and hot dogs, there are no leftovers.
So every multiple of 40, will ensure no leftovers.
40, 80, 120, 160, 200, 240, 280, 320...
since 300 people are attending, 320 such buns and hot dogs are required.
packages of Bun = 320/8 = 40
packages of hot dogs = 320/10 = 32
(bun package,hot dog package) = (40,32)
Part (D)
In part (C), it came out the ratio
(buns packages : patties packages : jar of pickles) = (3:2:4)
Kindly check the Second attached image below
so to feed 420 people,
24*k > 420 such that minimum value of k
k = 18
so total 432 hamburgers will be formed.
Bun packages = 432/8 = 54
Patties packages = 432/12 = 36
Pickle jar = 432/6 = 72
so answer is (bun package, patties package, pickle jar) = (54,36,72)
