8 1/2 x 2 3/4 x 2/3= 12
1 answer:
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Answer:
Step-by-step explanation:
To find the number of kilograms of mercury we need to find how to relate density, mass and, volume. For this we shall recall the density formula:
where is the density,
is the mass and,
is the volume.
We have the density and want to compute the mass so now we want to know the volume of the pool.
The volume of a rectangular pool is given by the fomula:
.
So for our pool
.
.
Our density is in , so the last thing we need to do before computing the mass is to express the density in
(this is because we want our mass in
and, we have our volume in
).
For the density conversion we have to remember that
so
.
With this we can finally compute mass:
.
Answer:
The perimeter of the rectangle is 18 units.
Step-by-step explanation:
The image included below presents the location of the points on the Cartesian plane. From Geometry we get that the perimeter (), dimensionless, of the rectangle is the sum of its four sides. That is to say:
(1)
Where ,
,
and
are the sides of the rectangle, dimensionless.
Each side value is found by means of the Pythagorean Theorem:
And the perimeter of the rectangle is:
The perimeter of the rectangle is 18 units.
