Given:
2 rectangular prism.
same height
square bases
Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft
Solving for the space inside each rectangular prism, we need to find its volume.
Volume of a rectangular prism = length * width * height
Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet
Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet
Box A - Box B = difference in space
16 cubic feet - 2.25 cubic feet = 13.75 cubic feet
Box A contains 13.75 cubic feet more space than Box B.
Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors
and for all scalars
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t:
Where
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2) 
And we can express like this 
3) If
and
then we have this:

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.
Take 11 gallons out of 28 and put 4 more gallons in 13
Answer:
To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x
remember the acronym soh cah toa.
to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa
setting it up looks like this
tan 72° = 
solving for x gives us x= 8×tan 72°
which is about 24.62
Step-by-step explanation: