Answer: Should be 5(9)+4
Step-by-step explanation:
The correct answer to your question is 0.6 !
Answer:
![x\approx7.8](https://tex.z-dn.net/?f=x%5Capprox7.8)
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:
![sin(\theta)=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
![sin(23^\circ)=\frac{x}{20}](https://tex.z-dn.net/?f=sin%2823%5E%5Ccirc%29%3D%5Cfrac%7Bx%7D%7B20%7D)
![20sin(23^\circ)=x](https://tex.z-dn.net/?f=20sin%2823%5E%5Ccirc%29%3Dx)
![x=20sin(23^\circ)](https://tex.z-dn.net/?f=x%3D20sin%2823%5E%5Ccirc%29)
![x\approx7.8](https://tex.z-dn.net/?f=x%5Capprox7.8)
Therefore, the length of the opposite side is about 7.8 units
Answer:
The team can be formed in 756 different ways
Step-by-step explanation:
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.
![nCr = \frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=nCr%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
![7C2 * 9C2](https://tex.z-dn.net/?f=7C2%20%2A%209C2)
![7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36](https://tex.z-dn.net/?f=7C2%20%3D%20%5Cfrac%7B7%21%7D%7B5%212%21%7D%20%5C%5C%3D%20%5Cfrac%7B7%2A6%2A5%21%7D%7B5%21%2A2%7D%20%5C%5C%3D%207%2A3%5C%5C%3D%2021ways%5C%5C%5C%5Csimilarly%3B%5C%5C%5C%5C9C2%20%3D%20%5Cfrac%7B9%21%7D%7B7%212%21%7D%5C%5C9C2%3D%20%5Cfrac%7B9%2A8%2A7%21%7D%7B7%21%2A2%7D%20%5C%5C9C2%20%3D%209%2A4%5C%5C9C2%20%3D%2036)
7C2 * 9C2 = 21*36
= 756
The team can be formed in 756 different ways
Answer:
-3
Step-by-step explanation:
simplify the expression