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sergij07 [2.7K]
3 years ago
15

A cylinder of manganese (length 4.00 cm, diameter = 1.00 cm) has a mass of 22.62 g. What is the density of manganese?

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
Equation for density is mass/volume

Mass=22.62 g

Volume= 22/7 x 1/2^2 x 4

3.14 x 0.5 x 0.5 x 4

=3.14 cm3

Mass/ Volume

22.62/3.14

7.2 g/cm3 is the answer

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4 0
3 years ago
​ Quadrilateral ABCD ​ is inscribed in this circle.
Anna [14]
A quadrilateral, has 4 sides and its internal angles sum, add up to 360, now... you have 3 angles give.. .but we don't have C

so.. C is the difference of all the three angles from 360 or  \bf \measuredangle C=360-x-(2x+1)-148\implies \measuredangle C=360-x-2x-1-148   whatever that is, now, you'll get some value in x-terms

so.... now once we know what C is

you can if you want, do a search in google for "inscribed quadrilateral conjecture",  I can do a quick proof if you need one

but in short, for a quadrilateral inscribed in a circle, each pair of opposites angles are "supplementary angles", namely they add up to 180°

so.. what the dickens does all that mean?   well D+B=180 and A+C = 180

now. we know what A is, 2x+1
and by now, you'd know what C is from  360-x-2x-1-148

so... add them together then   and

\bf \begin{array}{cccclllll}
A&+&C&=&180\\
\uparrow &&\uparrow \\
(2x+1)&+&(360-x-2x-1-148)&=&180
\end{array}

solve for "x"


6 0
3 years ago
Read 2 more answers
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