0.580 repeating as a fraction
1 answer:
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Answer:
Step-by-step explanation:
They want you to see how radius is important. Just remember that one radian is one radius, that should help you see why radius is important.
They ask for the unit circle , that is a circle of one unit for the radius, which makes it super easy to calculate things for it, they ask what is the area, which is that famous formula, π , then they ask what's its circumference. which is that other famous formula 2πr
so to go all the way around a circle of one unit radius, it's 2π exactly or about 6.28..... units, call it meters, or feet or inches, it doesn't mater here.
the size of the circle doesn't matter here either, b/c we are using the radius , that relaationship doesn't change , all circles, what ever size , have this same relationship between the radius and radians. :P this is handy.
Answer:
Step-by-step explanation:
the formula for density is:
where d is density, m is mass, and V is volume.
solving for m in the last equation:
so if we find the volume and multiply it by the density we will get the mass of the object.
The volume of a rectangular prism is given by:
where is length,
is width and
is height:
we substitute to find the volume:
since the density has units of we need the volume also in units of
, so we make the conversion using:
multiplying by 30:
and now we find the mass with the equation:
substituting d and V:
the nearest gram is: