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Oksanka [162]
2 years ago
9

In the right triangle below b = 18 and c = 20, solve for a in simplified radical form.

Mathematics
1 answer:
Ket [755]2 years ago
3 0

Answer:

a = 2 radical 19

Step-by-step explanation:

a^2 + 18^2 = 20^2

a^2 + 324 = 400

subtract 324 from both sides

a^2 = 76

square root both sides

a = radical 76

simplify radical to get 2 radical 19

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Liono4ka [1.6K]

Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?

Hence, the <em>rule of three</em> is:

56 minutes - 60 minutes

x minutes - 750 minutes

Applying cross multiplication:

60x = 56 \times 750

x = \frac{56 \times 750}{60}

x = 700

700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.

You can learn more about proportions at brainly.com/question/24372153

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2 years ago
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soldi70 [24.7K]

Answer:

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Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.

For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

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P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

Thus, the value of P (A ∩ B) is 0.25.

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