A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
1 answer:
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Given
Gina has 6 yards of ribbon.
She cuts the ribbon into pieces that each measures three fourths yard.
Find out how many pieces of three fourths yard does Gina have
To proof
let the number of pieces of the ribbon be x.
As given in the question
Gina has of ribbon = 6 yards
She cuts the ribbon into pieces that each measures three fourths yard
Than the equation becomes
solving the above equation
we get
x = 2 × 4
x = 8
Gina have 8 pieces of three fourths yard
Hence proved
Answer:
The value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Step-by-step explanation:
The dimensions of given metal strip are
Length = 160 inch
Width = 20 inch
Let the side bend x inch from each sides to make a open box.
Dimensions of the box are
Length = 160-2x inch
Breadth = 20-2x inch
Height = x inch
The volume of a cuboid is
Volume of box is
Differentiate with respect to x.
Equate V'(x)=0, to find the critical points.
Using quadratic formula,
The critical values are
Differentiate V'(x) with respect to x.
The value of double derivative at critical points are
Since the value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.