Answer:
Ginny made a mistake in step 1 when she identified b = 31. It should be b=-31
Step-by-step explanation:
Ginny factored 
as shown:
ac = –180 and
b = 31
36(–5) = –180 and 36 + (–5) = 31
+ 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
b is the coefficient of x and from the trinomial , b=-31.
Therefore Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
The correct steps are: :
ac = –180 and
b = -31
36(–5) = –180 and -36+5 = -31
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Subtract sides 2x
Divide sides by 3
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CHECK :
So the value is correct.
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Answer:
3.125
Step-by-step explanation:
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
