Kilogram, Mole, Candela, Ampere, Meter, Second and Kelvin are the 6 basic measures, so I guess Kilogram
Answer:
![x = 9.4](https://tex.z-dn.net/?f=x%20%3D%209.4)
![y = 17.7](https://tex.z-dn.net/?f=y%20%3D%2017.7)
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
![tan \theta = \frac{opp}{adj}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Bopp%7D%7Badj%7D)
So, we have:
![tan\ 32= \frac{x}{15}](https://tex.z-dn.net/?f=tan%5C%2032%3D%20%5Cfrac%7Bx%7D%7B15%7D)
Cross multiply:
![x =15*tan\ 32](https://tex.z-dn.net/?f=x%20%3D15%2Atan%5C%2032)
![x = 15 * 0.6248693519](https://tex.z-dn.net/?f=x%20%3D%2015%20%2A%200.6248693519)
![x = 9.3730402785](https://tex.z-dn.net/?f=x%20%3D%209.3730402785)
--- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
![cos \theta = \frac{adj}{hyp}](https://tex.z-dn.net/?f=cos%20%5Ctheta%20%3D%20%5Cfrac%7Badj%7D%7Bhyp%7D)
So, we have:
![cos\ 32= \frac{15}{y}](https://tex.z-dn.net/?f=cos%5C%2032%3D%20%5Cfrac%7B15%7D%7By%7D)
Cross Multiply:
![y * cos\ 32= 15](https://tex.z-dn.net/?f=y%20%2A%20cos%5C%2032%3D%2015)
Solve for y
![y = \frac{15}{cos\ 32}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B15%7D%7Bcos%5C%2032%7D)
![y = \frac{15}{0.84804809615}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B15%7D%7B0.84804809615%7D)
![y = 17.6876760506](https://tex.z-dn.net/?f=y%20%3D%2017.6876760506)
--- approximated
Answer:
![y= -x^{2} -2x+15](https://tex.z-dn.net/?f=y%3D%20%20-x%5E%7B2%7D%20-2x%2B15)
Step-by-step explanation:
![y= -x^{2} -2x+15](https://tex.z-dn.net/?f=y%3D%20%20-x%5E%7B2%7D%20-2x%2B15)
The numbers that are divisible by 3 are:
3, 6, 9, 12, 15, 18, 21, 24
that is 8 numbers divisible by 3
24-8=16 numbers NOT divisible by 3
so the probability of not picking a number divisible by 3 is 16/24
hope this helps and is right :)