Which solid has two rectangular bases and four lateral faces, each in the shape of a rectangle?
2 answers:
Answer with explanation:
The total number of faces that the solid has = Two rectangular bases + Four lateral faces
As , Opposite Rectangular bases are Congruent,as well as four Opposite Rectangular Lateral Faces are Congruent.
Drawing the shape on a piece of paper and trying to find which shape it resemble
It is Rectangular prism, which we can call Cuboid.
→A prism is a three dimensional solid, whose opposite base can be in the shape of any polygon and lateral faces are always Parallelogram.
Here opposite bases are rectangle and lateral faces are Parallelogram.
Option C: Rectangular Prism
You might be interested in
Answer:
B. y=1/3x+4
Step-by-step explanation:
Hi there!
We are given the line PQ and we want to find the line that is perpendicular to it
Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1
So first, let's find the slope of the line PQ
The point P is given as (-8, 7) and the point Q is given as (-4, -5)
The formula for the slope calculated from two points is where (
) and (
,
) are points
We have the needed information for the slope, but let's label the values of the points to avoid any confusion
x1=-8
y1=7
x2=-4
y2=-5
Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):
m=
simplify
m=
add
m=-12/4
divide
m=-3
So the slope of the line PQ is -3
As said above, perpendicular lines have slopes that have a product of -1
So to find the slope of the line perpendicular to PQ, use this formula:
-3m=-1
divide both sides by -3
m=1/3
The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.
Hope this helps!
Let's say that the speed of the freight train is and the one of the passenger train is
.
MPH means every hour the freight train covers
miles., which means in 3h it will have covered 3 times as much:
mi.
Following the same logic, MPH means every hour the passenger train covers
miles, meaning after 3h it will have covered 3 times as much as well:
mi.
Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:
Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.