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kati45 [8]
3 years ago
6

AEFG - ALMN. Find the ratio of AEFG to ALMN. A)1:4 B)1:2 C)2.1 D)4:1

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

C)2 : 1

Step-by-step explanation:

AEFG ≈ ALMN

FG / MN = 4 / 2 = 2/1

So the ratio of AEFG to ALMN = 2 / 1 or 2 : 1

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Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
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Answer:

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Step-by-step explanation:

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<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

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  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

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<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

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<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

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