All categories

3 years ago

What is the trigonometric ratio for sin C?

Mathematics

1 answer:

Vesna [10]3 years ago

6 0

<h3>Answer: 9/41</h3>

==========================================================

Explanation:

We have a triangle with these three sides.

a = 80
b = unknown
c = 82

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41

You might be interested in

Again answer as many as you can

Keith_Richards [23]

For #3, it's 5.4 because you divide the total amount of money made by the amount of money earned per hour.

49.95/9.25=5.4 hours

7 0

3 years ago

Read 2 more answers

The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out

Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So $p = 0.3723$

12 games in November

So $n = 12$

What is the probability that the hockey team wins 6 games in November?

This is $P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505$

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0

2 years ago

0.2 is what percent of 16?

kherson [118]

Answer:

0.032

Step-by-step explanation:

0.2/100×16

=0.032

percentage can be written as percentage/100

3 0

3 years ago

Read 2 more answers

What is the solution of the equation 4p/6+27

anyanavicka [17]

The answer is 36 I'm pretty sure

7 0

3 years ago

Helppppo plzn wkjejws

Tamiku [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers