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lozanna [386]
3 years ago
7

Please help this question.

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

a). 59.049°C

b). 2.1179 seconds

Step-by-step explanation:

Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,

T = 100(0.9)^{x}

where x = duration of cooling

a). Temperature when x = 5 seconds

T = 100(0.9)⁵

  = 59.049

  ≈ 59.049°C

b). If the temperature of the metal decreases from 100°C to 80°C

Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds

80 = 100(0.9)^{x}

0.8 = (0.9)^{x}

By taking log on both the sides

log(0.8) =log[(0.9)^{x}]

-0.09691 = x[log(0.9)]

-0.09691 = -0.045757x

x = \frac{0.09691}{0.045757}

x = 2.1179

x ≈ 2.1179 seconds

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Answer and Step-by-step explanation:

We see that the bottom two lines are parallel, which makes angle x and angle 5 "same-side corresponding angles". By definition, same-side corresponding angles are congruent. That means angle x = angle 5.

Note that you didn't provide any measures, so it is impossible to actually figure out an exact degree. However, angle x is the same degree as angle 5.

Hope this helps!

4 0
2 years ago
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The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has
alexgriva [62]

I belive this is the answer

x³ = 27/125; and

x = 3/5.

explanation:

Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us

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The current voltage is 27/125; this gives us the equation

x³ = 27/125.

To solve this, take the cubed root of both sides:

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x = (∛27)/(∛125)

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7 0
2 years ago
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Tanzania [10]

Answer:

2 rides per hour

Step-by-step explanation:

This is a division problem since we would need to divide in order to answer the question.

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The answer is 7/10.

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This means that Darcy needs 5/80 cup of peanut butter <span>and 8 raisins.
If she has 32/80 cup of peanut butter, she will have it only fo 6 or 7 apple slices (32/80 </span>÷ 5/80 = 6.4) depending how it is rounded. If she prepares 6 apple slices, she will still have a little of peanut butter left (0.4 = 2/5 of cup). So, she will prepare 7 apple slices so the butter will be all gone.

For 7 apple slices, she needs 56 raisins (7 × 8 raisins).
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4 0
3 years ago
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