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bulgar [2K]
3 years ago
15

Find the missing side of each triangle. Leave your answers in simplest radical form.

Mathematics
2 answers:
rosijanka [135]3 years ago
4 0

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

8^2+9^2=x^2

64+81=x^2

145=x^2

\sqrt{145=x

DENIUS [597]3 years ago
3 0

Answer:

The missing side of the triangle is 12.04 mi / √145 mi.

Step-by-step explanation:

<h3>Given :- </h3>
  • Perpendicular = 9 mi
  • Base = 8 mi
  • And Hypotenuse = missing side = x

<h3>Solution :- </h3>

Now substitute the values

➟ ( 9 mi ) ² + ( 8 mi ) ² = x²

Simplify the values

➟ 81 mi ² + 64 mi ² = x ²

Add the values

➟ 145 mi ² = x ²

Finding , the root of 145 mi ²

➟ √145 mi ² = x

➟ 12.04 mi = x

Therefore, The missing side of the triangle is 12.04 mi / √145 mi.

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About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex
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Answer:

The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) ×  (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= \frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .

= \frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by \dfrac{2}{3}.

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