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timofeeve [1]
3 years ago
15

The length of the hypotenuse of a right triangle is 14 inches. If the length of one leg is 6 inches, what is the approximate len

gth of the other leg?
Mathematics
2 answers:
Liula [17]3 years ago
5 0
Using the Pythagorean theorem:

6^2 + X^2 = 14^2

36 + x^2 = 196

X^2 = 196-36 

x^2 = 160

x = SQRT(160)

x = 4 SQRT(10)   
Or as a decimal:
x = 12.65 inches
slavikrds [6]3 years ago
3 0
Hey there! :)

You have to use the Pythagorean Theorem: a² + b² = c²

a² + b² = c² is the same as: c² - a² = b²

c = 14
14² = 14 × 14 = 196

a = 6
6² = 6 × 6 = 36

196 - 36 = 160

√160 = 12.65

The length of the other leg(rounded) is 12.65 in

Hope this helps :)

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E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15


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P(F|E)=P(E and F)÷P(E)

It is given that P(E)=0.3,P(F|E)=0.5

Using Bayes' formula,

P(F|E)=P(E and F)÷P(E)

Rearranging the formula,

⇒P(E and F)=P(F|E)×P(E)

Substituting the given values in the formula, we get

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∴The correct answer is 0.15.

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Svet_ta [14]
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