The girls' basketball team is playing against the boys' basketball team. The coach chooses a captain for the girls' team and then chooses a captain for the boys' team.

Step-by-step explanation:

Two events are considered independent of each other when the probability that one event occurs doesn’t in any way affect the probability of the other event occurring.

An example is the probability of flipping a coin and rolling a die.

Choosing a captain for the male and female team won’t in any way affect the outcome of the match.

8 0

3 years ago

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Hi! I just need somebody to explain how this is done.

iren2701 [21]

Answer:

Exact form: x = $\frac{10.8}{sin(57)}$

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

∴ ΔACB is a right triangle

∵ m∠B = 57°

∵ AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

∵ AB = x

→ We can use the function sine to find x

∵ sin∠B = $\frac{opposite}{hypotenuse}$

∴ sin∠B = $\frac{AC}{AB}$

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = $\frac{10.8}{x}$

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

∴ x = $\frac{10.8}{sin(57)}$

∴ x = 12.87752356

→ Round your answer to the nearest tenth

∴ x = 12.9

Exact form: x = $\frac{10.8}{sin(57)}$

Rounded to the Nearest Tenth: x = 12.9

3 0

3 years ago