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larisa [96]
2 years ago
7

Find the angle represented by x rounded to the nearest tenth of a degree

Mathematics
1 answer:
Zinaida [17]2 years ago
8 0

Answer:

<h3>x = 49.6°</h3>

Step-by-step explanation:

Find the image attached;

From the image;

opposite side = 16

Hypotenuse = 21

Angle of inclination = x

Using the SOH identity

sinx = opposite/hypotenuse

sin x = 16/21

sin x = 0.7619

x = arcsin 0.7619

x = 49.6° (to the nearest tenth of a degree)

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Simplify the expression (2-5 root 6) times 3 root 2
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A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he
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c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

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r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

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C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

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1 + 10 + 45 + 120 = 176 possible total scenarios.

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Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

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3 years ago
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