The area of the rectangle formed by the intersection of the plane and cube is 
The diagram of the cube and the cutting plane is shown in the figure.
Since the cube has a volume of 
, the sides are 
each.
From the diagram, the red rectangle is the rectangle formed from the intersection of the plane and the cube. It has an area given by
and, using Pythagoras' theorem,
Substituting the value of 
into the formula for 
The area of the rectangle formed by the intersection of the plane and cube is
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Answer:
The expression for temperature is already in vertex form: T=a(d−d subscript 0)^2+T subscript 0. The vertex of this quadratic function occurs at (15,20).
Based on the graph given, it can be deduced from the computation that the value of y will be -8.
Point C is given as (-10 , -2) and D = (10 , 6)
The Slope of line CD = ( 6 - (-2) /( 10 - (-10) = 8/20 = 2/5
Since EF is parallel to line CD
, the slope of EF = 2/5
Equation y = (2/5)x + c
5y = 2x + 5c
It passes through F ( 6 , -4)
= 5(-4) = 2*6 + 5c
= -20 = 12 + 5c
5c = -32
5y = 2x - 32
Point E ( - 4 , y)
5y = 2(-4) - 32
5y = -8 - 32
5y = -40
y = -8
Therefore, the value of y is -8.
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Answer:
3
A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 40 states. What is the probability that she selects the route of three specific capitals? A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 40 states.
Explanation:
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