Answer:
D. Population, because it is a collection of salaries for all teachers in the school.
Step-by-step explanation:
In research, population refers to a complete set of subjects that share a characteristic and that the researcher is interested in. On the other hand, a sample is a subset of a population and it's usually the one the researcher takes to make a study with.
In this example, we have "The salary of each teacher in a school" since we are taking ALL the teachers of this school, this would be a population. If we were working with the salary of only a portion of the teachers of said school, it would be a sample.
Thus, the right answer is D. Population, because it is a collection of salaries for all teachers in the school.
![\bf sec(\theta)=\cfrac{1}{cos(\theta)}\\\\ -----------------------------\\\\ sec(\theta)=\cfrac{5}{3}\implies \cfrac{1}{cos(\theta)}=\cfrac{5}{3}\implies \cfrac{3}{5}=cos(\theta) \\\\\\ \textit{now, }\theta\textit{ is in the 4th quadrant}](https://tex.z-dn.net/?f=%5Cbf%20sec%28%5Ctheta%29%3D%5Ccfrac%7B1%7D%7Bcos%28%5Ctheta%29%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Asec%28%5Ctheta%29%3D%5Ccfrac%7B5%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B1%7D%7Bcos%28%5Ctheta%29%7D%3D%5Ccfrac%7B5%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B5%7D%3Dcos%28%5Ctheta%29%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bnow%2C%20%7D%5Ctheta%5Ctextit%7B%20is%20in%20the%204th%20quadrant%7D)
so... notice the picture below, the angle in the fourth quadrant
now... notice, the cosine is just the distance the angle makes with the x-axis
so... using the pythagorean theorem, get the opposite side, from that triangle, keeping in mind that, "y" is negative in the 4th quadrant
once you get "y", get any other trigonometry value you need :)
Answer:
Option A) 4, 2
Step-by-step explanation:
We are given that quadrilateral ABCD is a parallelogram with sides:
![AB = 3 + x\\DC = 4x\\AD = y + 1\\BC = 2y](https://tex.z-dn.net/?f=AB%20%3D%203%20%2B%20x%5C%5CDC%20%3D%204x%5C%5CAD%20%3D%20y%20%2B%201%5C%5CBC%20%3D%202y)
Since the opposite sides of a parallelogram are equal, we can write:
![AB = DC\\AD=BC](https://tex.z-dn.net/?f=AB%20%3D%20DC%5C%5CAD%3DBC)
Equating the sides we get,
![\Rightarrow 3+x = 4x\\4x-x = 3\\3x = 3\\x = 1\\\Rightarrow y + 1 = 2y\\y = 1](https://tex.z-dn.net/?f=%5CRightarrow%203%2Bx%20%3D%204x%5C%5C4x-x%20%3D%203%5C%5C3x%20%3D%203%5C%5Cx%20%3D%201%5C%5C%5CRightarrow%20y%20%2B%201%20%3D%202y%5C%5Cy%20%3D%201)
Putting the values of x and y, we get:
![AB = 3 + x =4\\DC = 4x =4\\AD = y + 1=2\\BC = 2y=2](https://tex.z-dn.net/?f=AB%20%3D%203%20%2B%20x%20%3D4%5C%5CDC%20%3D%204x%20%3D4%5C%5CAD%20%3D%20y%20%2B%201%3D2%5C%5CBC%20%3D%202y%3D2)
Thus, the lengths of the opposite side pairs is 4,2.
The volume of the figure is since you have to do width times heigh so 25 times 8 which would be 200 as your answer.
Answer:
a) decimal 7.222
fraction: 65/9
percentage: 722.22
b) Fraction: 37/5
decimal: 7.4
Percentage: 740
Step-by-step explanation: