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Jlenok [28]
3 years ago
6

A tourist calculated that if he walks to the railroad station with a speed of 4 mph, he’ll miss the train by half an hour, but i

f he walks with a speed of 5 mph, he’ll reach the station 6 minutes before the departure of the train. What distance does the tourist have to cover?
Mathematics
1 answer:
Levart [38]3 years ago
3 0
He has to cover 6 km in distance, good luck!
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What is the fractional equivalent of 0.2323
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Your answer is \frac{23}{99}

If you use a calculator and divide 23 by 99, you will get 0.232323............

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Find the length of the third side. If necessary, round to the nearest tenth
Lilit [14]

\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}

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.: he saved a total of

1+2+4+8+16+32+64+128+256+512=1023¢

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