Answer:
the length of ac is 16.
Step-by-step explanation:
Given;
A is right angle, = 90⁰
B is 30⁰
ab = 16√3
C
↓
↑
A → ← B
If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.
The length of ac is calculated as follows;
![tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16](https://tex.z-dn.net/?f=tan%20%5C%20B%20%3D%20%5Cfrac%7Bopposite%20%5C%20side%7D%7Badjacent%20%5C%20side%7D%20%5C%5C%5C%5Ctan%20%5C%20B%20%3D%20%5Cfrac%7Bac%7D%7Bab%7D%20%5C%5C%5C%5Cac%20%3D%20ab%20%5C%20%5Ctimes%20%5C%20tan%20%5C%20B%5C%5C%5C%5Cac%20%3D%2016%5Csqrt%7B3%7D%20%5C%20%5Ctimes%20%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D%20%5C%5C%5C%5Cac%20%3D%20%5Cfrac%7B16%20%5Csqrt%7B9%7D%20%7D%7B3%7D%20%5C%5C%5C%5Cac%20%3D%20%5Cfrac%7B16%20%5Ctimes%203%7D%7B3%7D%20%5C%5C%5C%5Cac%20%3D%2016)
Therefore, the length of ac is 16.
First one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11111111111111111111111111111111111111
Answer:
w = 1.2 or 6/5
Step-by-step explanation:
math
Simply divide 61.50 by 3. You should be able to reach the answer that way
Answer:
The probability of that happening is 1/22
Step-by-step explanation:
In order to find the probability, you need to start by finding the probability for each step. The probability of the first one being red is the number of red marbles divided by the total number of marbles.
3 red / 12 total.
3/12
1/4
Now the chance that the second is white is the total number of white marbles divided by how many are left in the bag.
4 white / 11 left
4/11
Lastly, the chance of the last one being blue is the number of blue marbles divided by the amount of total marbles left after two pulls.
5 blue/ 10 left
5/10
1/2
Now to find the overall probability of all 3 happening, we multiply all 3 probabilities together.
1/4 * 4/11 * 1/2 = 1/22