Answer:
(-8,8)
Step-by-step explanation:
The midpoint
of the segment AB with endpoints
and
has coordinates

In your case,
then

The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:

Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.
Here we apply the Pythagorean theorem:
c^2=a^2+b^2
The diagonal of the opening will be:
c^2=3^2+3^2
c^2=9+9
c^2=18
c=3√2 ft
The diagonal of the wood will be:
c^2=4^2+8^2
c^2=16+64
c^2=80
c=4√5 ft
The space will not be enough for the plywood to pass
Answer:
equal
Step-by-step explanation:
Bag 1 has 3 red cubes and 1 blue cube. = 4 cubes
Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes
P ( red bag 1) = red /total = 3/4
P (yellow bag 2) = yellow /total = 1/5
P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20
P ( blue bag 1) =blue /total =1/4
P (green bag 2) = green /total = 3/5
P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20
The probabilities are equal