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quester [9]
3 years ago
10

It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must ge

t from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?
Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

7 pi square 9.8

Step-by-step explanation:

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Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

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150 = 30 + 2x

120= 2x

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\bf \qquad \textit{Simple Interest Earned}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &90,000\\
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\end{cases}

\bf 90000=65452e^{0.091t}\implies \cfrac{90000}{65452}=e^{0.091t}\implies \cfrac{22500}{16363}=e^{0.091t}
\\\\\\
\textit{taking \underline{ln} to both sides}\qquad ln\left( \cfrac{22500}{16363} \right)=ln\left( e^{0.091t} \right)
\\\\\\
ln\left( \cfrac{22500}{16363} \right)=0.091t\implies 
\cfrac{ln\left( \frac{22500}{16363} \right)}{0.091}=t
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