Answer:
0.0545454545455
Step-by-step explanation:
Let's analyze the sequence: {2,3,5,9,17...}.
3 = 2+1
5 = 3+2
9=5+4
17=9+8
So, every element of the sequence is obtained as sum from the previous element + (previous element -1)
y[n]=y[n-1] + (y[n-1]-1)
If a box has a square base its volume will be:
V=hb^2 where h is the height...
h=V/b^2 we are told that V=125 so
h=125/b^2 now for the surface area, which consists of the two bases for a total of 2b^2. It will also have four sides with a total area of 4(bh)=4bh so
A=2b^2+4bh, using h found above in this gives us:
A=2b^2+4b(V/b^2)
A=2b^2+4V/b
A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.
dA/db=(6b^3-2b^3-4V)/b^2
dA/db=(4b^3-4V)/b^2
dA/db=0 when 4b^3-4V=0
b^3=V
b=V^(1/3), since V=125
b=5in, and since h=V/b^2
h=125/25=5in
So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.
h=b=5in
8 * 2/3
16/3
Hope this helps!
Answer:
r = 19.2deg
Step-by-step explanation:
6r + 5 = 30 + 90 (exterior angles of a triangle)
6r = 115
r = 19.2deg (1dp)
Topic: Angles
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