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shusha [124]
3 years ago
11

Help plz i dont get it

Mathematics
1 answer:
lianna [129]3 years ago
4 0
Hello,

The depth of the snow increases with the time (t) : h=B*t
The speed is inversely proportional to the depth of snow
v=A/h=A/(Bt)=k/t
==>v=dx/dt)=k/t

In the period of 6 am to 8 am: if T is the time of the begining of the fallen snow:

1= \int\limits^{T+2}_{T} { \dfrac{k}{t} } \, dt =k*ln( \frac{T+2}{T} )

Further,
1= \int\limits^{T+2+3.5}_{T+2} { \dfrac{k}{t} } \, dt =k*ln( \frac{T+5.5}{T+2} )\\

==\textgreater\  \dfrac{T+5.5}{T+2} = \dfrac{T+2}{T} \\

==\textgreater\  T= \dfrac{4}{1.5} =2+ \dfrac{2}{3} h

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Step-by-step explanation:

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we know that

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Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

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we have

z=\frac{7}{10}

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Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

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y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

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