Well we know that sin(angle) = opposite/hypotenuse. using the angle of 38 degrees we see that the opposite is 24 and the hypotenuse is x. So we fill in equation:
sin (38) = 24/x
x *sin (38) = 24
x = 24/ sin (38)
x = 38.98
x = 39.0

8 0

3 years ago

Nancy’s 50-meter freestyle swim time was 28.004 seconds. Betty’s 50-meter freestyle swim time was 27.949 seconds. What was the d

Pie

The difference between their swim times was 0.055 seconds.

8 0

3 years ago

Select the image below

Kazeer [188]

It’s B because you just rotate the triangle not the angles. Look at a regular and the opposite of the way it’s going is counterclockwise.

7 0

4 years ago

Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.

Natali [406]

Answer:

Dependent event

$P(Red = 2) = \frac{5}{588}$

Step-by-step explanation:

Given

$Total = 49$

$Red = 5$

Solving (a): Are the events dependent?

Yes, they are.

When the first red candy is selected and eaten, the total number of candies reduced to 48 and the number of red candies also reduced to 4.

So, the probability of selecting a 2nd candy is dependent on the first candy selected.

Solving (b): P(Red = 2)

This is calculated as:

$P(Red = 2) = P(Red) * P(Red | Red)$

The first selection has the following probability:

$P(Red) = \frac{Red}{Total}$

$P(Red) = \frac{5}{49}$

The second selection has the following probability:

$P(Red|Red) = \frac{Red - 1}{Total - 1}$

$P(Red|Red) = \frac{5 - 1}{49 - 1}$

$P(Red|Red) = \frac{4}{48}$

So, we have:

$P(Red = 2) = P(Red) * P(Red | Red)$

$P(Red = 2) = \frac{5}{49} * \frac{4}{48}$

Reduce fraction

$P(Red = 2) = \frac{5}{49} * \frac{1}{12}$

Multiply

$P(Red = 2) = \frac{5}{588}$

6 0

3 years ago