10 points in this if solved
1 answer:
Answer:
Area of the figure = 350 cm²
Step-by-step explanation:
Area of the given figure in the picture = Area of big rectangle - Area of small rectangle A
Area of big rectangle = Length × Width
= 25 × 15
= 375 cm²
Length of mall rectangle = 25 - (5 + 15)
= 5 cm
Width of small rectangle = 5 cm
Area of small rectangle = 5 × 5
= 25 cm²
Area of the figure = 375 - 25
= 350 cm²
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For a given girth, the largest area will be that of a square. Then for some length x, the volume will be
.. V = x((108 -x)/4)^2
.. = (1/16)*x*(108 -x)^2
The largest volume will be found where the derivative of this with respect to x is zero.
.. V' = (1/16)*((108 -x)^2 -2x(108 -x))
.. 0 = (108 -x)(108 -x -2x)
.. x = 108 or 108/3 = 36
The dimensions of the largest package that can be mailed are
.. 36 inches in length and 72 inches in girth
The volume of that package is 11,664 in^3.
.. V = x((108 -x)/4)^2
.. = (1/16)*x*(108 -x)^2
The largest volume will be found where the derivative of this with respect to x is zero.
.. V' = (1/16)*((108 -x)^2 -2x(108 -x))
.. 0 = (108 -x)(108 -x -2x)
.. x = 108 or 108/3 = 36
The dimensions of the largest package that can be mailed are
.. 36 inches in length and 72 inches in girth
The volume of that package is 11,664 in^3.
Answer:
Step-by-step explanation:
A deck of card is divided into 4 suits of 13 cards each.
If all the diamonds are removed, then:
Total Number of Cards =52-13=39
If she then shuffles the deck and looks at the top card.
The probability that it is the 5 of hearts,
P( 5 of hearts)