2500/5=500 this is the unit rate
Answer:
To round 5.82 to the nearest tenth consider the hundredths' value of 5.82, which is 2 and less than 5. Therefore, the tenths value of 5.82 remains 8.
Step-by-step explanation:
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Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by: , where r is the radius.
The volume of a cylinder is denoted by: , where r is the radius and h is the height. Plug in 2r for h and 18 for V:
Now plug in 9 for πr³ in the volume formula for the sphere:
The volume of the sphere is 12 cm³.
Answer:
<u>Mass</u>
<u>Center of mass</u>
<em>Coordinate x</em>
<em>Coordinate y</em>
<em>Coordinate z</em>
Step-by-step explanation:
Let W be the wire. We can consider W=(x(t),y(t),z(t)) as a path given by the parametric functions
x(t) = t
y(t) = 4 cos(t)
z(t) = 4 sin(t)
for 0 ≤ t ≤ 2π
If D(x,y,z) is the density of W at a given point (x,y,z), the mass m would be the curve integral along the path W
The density D(x,y,z) is given by
on the other hand
and we have
The center of mass is the point
where
We have
so