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3 years ago

For the triangle shown below, complete the following table.

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

Answer:

Step-by-step explanation:

In the given triangle

With reference angle A

perpendicular (P) = 3

hypotenuse (h) = 5

So sin A = p/h = 3/5

and

With reference angle C

perpendicular (p)= 4

hypotenuse (h) = 5

Sin C = p/h = 4/5

hope it helps :)

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John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel.

Naya [18.7K]

Answer:

[351]

Step-by-step explanation:

114 + 3 = 117. 117 x 3 = 351.

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3 years ago

A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is

Hunter-Best [27]

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=0)=\dfrac{1}{4} = 0.25$

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=1)=\dfrac{2}{4} = 0.25$

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability=\dfrac{1}{4} = 0.25$

Now, if we draw the table of the data and the probability we will get the following table,

x P(X)

0 0.25

1 0.50

2 0.25

Hence, the table that is correct is table A, which is A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

brainly.com/question/795909

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2 years ago

Find −a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3.

Juliette [100K]

Answer:

-17

Step-by-step explanation:

Ans. - 17

We just substitute the values of a, b and c and find the answer

7 0

3 years ago

Estimate

Taya2010 [7]

126/10 would mean that from the original number, the decimal point is at 126.0 so when it is divided by 10, it will move over one placement, making it 12.6... I would estimate that your answer is C. 12.6

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3 years ago

The bus drives 66 km at an average speed of 24 km/h. How long does the journey take?

rewona [7]

Answer:

2.75 hours

Step-by-step explanation:

Speed is 24km per hour ( $\frac{24km}{1hour}$ ), and the bus covered 66km.