How to do this question plz answer me step by step plzz plz
1 answer:
Answer:
New depth of the milk will be 4 cm.
Step-by-step explanation:
If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.
Length of the cuboid formed by the the milk = 8 cm
Width = 5 cm
Height = 12 cm
Volume of the cuboid formed by the milk in the carton = Length × width × height
V = 8 × 5 × 12
= 480 cm³
If the carton is turned so that the carton stands on the shaded face,
Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.
Length = 15 cm
Width = 8 cm
Height = h cm
Then volume of the cuboid = Length × width × height
V = 15 × 8 × h
480 = 120h
h =
h = 4 cm
Therefore, new depth of the milk will be 4 cm.
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We have that
<span>y = -x</span>²<span>+8x
we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0
the solution is
x=0
x=8
the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft
the answer is
8 ft
see the attached figure
<span>y = -x</span>²<span>+8x
we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0
the solution is
x=0
x=8
the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft
the answer is
8 ft
see the attached figure
