What is 75% of 180?
2 answers:
Make a proportion ()...
The whole is 180 but we need to find the part which would be x
75 % is also a part of 100% (the whole)
The proportion would look like this...
Now cross multiply to solve for x. The work for this is below.
100x = 13500
To isolate x divide 100 to both sides
100x/100 = 13500/100
x = 135
So...
135 is 75% of 180
Hope this helped!
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Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
Answer:
Their sides must be in the same ratio and their angles must be equal.
Step-by-step explanation:
If two polygons are similar their sides must be in the same ratio and their angles must be equal.
e. g. -
If ABCDEF and GHIJKL be the two polygons,
then,
and,
∠ABC = ∠GHI ; ∠BCD =∠HIJ ; ∠CDE = ∠IJK ; ∠DEF =∠JKL ; ∠EFA =∠KLG;
∠FAB = ∠LGH .