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Kruka [31]
3 years ago
9

In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs 0.45 lb if the exchange rat

e if the exchange rate is 18 pesos to the dollar?
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

55 cents

Step-by-step explanation:

Let's convert 0.45 lb to kilograms

2.20 lb = 1 kg is the conversion factor, hence:

0.45lb*\frac{1Kg}{2.2lb}\\=\frac{0.45}{2.2}\\=0.2045Kg

So that's 0.2045 kg

Since 48 pesos is for 1 kg, hence for 0.2045 kg, the cost (in pesos) is:

0.2045 kg * 48 = 9.82 pesos

Now, we know 18 pesos is 100 cents (1 dollar), so how much is 9.82 pesos?? (let number of cents be X)

\frac{18Pesos}{100Cents}=\frac{9.82Pesos}{X}\\18X=9.82*100\\18X=982\\X=\frac{982}{18}\\X=54.6 Cents

That's roughly 55 cents

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2 years ago
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Given that tan^2 theta=3/8,what is the value of sec theta?
algol [13]

Answer:

The value of SecФ is  \pm \sqrt{\frac{11}{8}} .

Step-by-step explanation:

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Or, tanФ = \sqrt{\frac{3}{8} }

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So,  \frac{Perpendicular}{Base} =  \sqrt{\frac{3}{8} }

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Now SecФ = \frac{Hypotenuse}{Base}

or, SecФ = \frac{\sqrt{11}}{\sqrt{8}} = \sqrt{\frac{11}{8} }

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

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Or, Sec²Ф = \frac{11}{8}

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Hence The value of SecФ is  \pm \sqrt{\frac{11}{8}} . Answer

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