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Scilla [17]
3 years ago
10

If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in

Mathematics
2 answers:
Sloan [31]3 years ago
6 0

Answer:

tan θ = (√13)/3

Step-by-step explanation:

cosθ = 3/√22 = adj/hyp

third side of triangle has dimension

c = √((√22)² - 3²) = √13

tan θ = opp/adj = (√13)/3

Greeley [361]3 years ago
6 0

A

​−3  

11

​  

Step-by-step explanation:

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Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

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Step-by-step explanation:

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A water pump moves 330 gallons of water in 22 minutes. What is the unit rate?
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Step-by-step explanation:

If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last? 55 minutes

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