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likoan [24]
3 years ago
12

Find the value of x to the nearest tenth. tan 34° = 20

Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

The value of x = 13.5.

Step-by-step explanation:

<u>In this question x is missing.</u>

<u>So, the question would be:</u>

<u>tan 34° = x/20.</u>

Now, to find the value of x:

tan 34 = \frac{x}{20}

\frac{x}{20} = tan 34

Multiplying both sides by 20 we get:

x=tan 34\times 20

On simplifying both sides we get:

x=13.49

So, to get the value of x=13.49 to nearest tenth is 13.5. As we see in hundredth place it is 9 and 4 in tenth place, so after rounding to tenth place 4 will change to 5 so the value is 13.5.

Therefore, the value of x = 13.5.

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Urn A contains five white balls and seven black balls. Urn B contains three white balls and four black balls. A ball is drawn fr
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Answer:

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Step-by-step explanation:

Let Aw, Ab, Bw, Bb the following events:

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Ab = the ball drawn from urn A is black

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\bf P(Ab | Bb)=\frac{P(Bb|Ab)P(Ab)}{P(Bb|Ab)P(Ab)+P(Bb|Aw)P(Aw)}=\frac{(5/8)(7/12)}{(5/8)(7/12)+(4/8)(5/12)}

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\bf P(Ab | Bb)=\frac{P(Bb|Ab)P(Ab)}{P(Bb|Ab)P(Ab)+P(Bb|Aw)P(Aw)}=\frac{(5/8)(7/12)}{(5/8)(7/12)+(4/8)(5/12)}=\\\frac{35/96}{35/96+20/96}=35/55=7/11=0.636

rounded to three decimals

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