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VLD [36.1K]
3 years ago
10

Victoria measured a neighborhood park and made a scale drawing. In real life, the volleyball court is 8 meters wide. It is 2 cen

timeters wide in the drawing. What scale did Victoria use for the drawing?
Mathematics
1 answer:
stira [4]3 years ago
3 0

9514 1404 393

Answer:

  1 : 400

Step-by-step explanation:

Victoria's scale factor is ...

  2 cm : 8 m = 2 cm : 800 cm = 2 : 800 = 1 : 400

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Prove divisibility 45^45·15^15 by 75^30
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Answer:

3^{75}

Step-by-step explanation:

We are asked to divide our given fraction: \frac{45^{45}*15^{15}}{75^{30}}.

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Using product rule of exponents (a*b)^n=a^n*b^n we can write:

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Using power rule of exponents a^m*a^n=a^{m+n} we will get,

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Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{45}*15^{60-30}}{5^{30}}

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Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{3^{45}*(3*5)^{30}}{5^{30}}

\frac{3^{45}*3^{30}*5^{30}}{5^{30}}

Upon canceling out 5^{30} we will get,

3^{45}*3^{30}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

3^{45+30}

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8 0
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The olympic record for the men's 1500 m athletic race was set by Noah ngeny -kenya (Sydney 2000) at 3:32:07( 3min,32.07s) how ma
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Answer:

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Step-by-step explanation:

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