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katen-ka-za [31]
2 years ago
9

Why is tan(theta) equal to tan(theta + 2pi)

Mathematics
1 answer:
IgorC [24]2 years ago
7 0

Step-by-step explanation:

tan(2pi) = 0

tan(a + b) = (tan(a) + tan(b))/ (1 - tan(a) * tan(b))

tan(theta + 2pi)

= tan(theta) + tan(2pi) / 1 - (tan(theta) * tan(2pi))

= tan(theta) + 0 / 1 - tan(theta) * 0

= tan(theta) / 1

= tan(theta)

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tatyana61 [14]

Answer:

There are <u>77</u><u> girls</u> in the class when there are 49 boys.

8 0
3 years ago
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A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

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5 0
4 years ago
Select the four choices below that are equal to 2 × 3 × 4.
horrorfan [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Keith_Richards [23]

Answer: 4×15= 60

Step-by-step explanation:

60 is 15 times as many as 4. This means that 15 is multiplied by 4 to get 60. This will be :

4×15= 60.

The other options such as 60÷15=4, 15+4= 60, 60÷4=15 and 60-15= 4 doesn't explain the question given. 60-15 is not 4 likewise 15+4 isn't 60. For the other options, the question isn't talking about division but multiplication.

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3 years ago
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Answer:

90 inches

Step-by-step explanation:

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