The mean is the average value of the numbers given in the series
The mode is the number that is appears more than any other number given in the series
Step-by-step explanation:
Given challenge is make a list of 5 numbers
The list of 5 number is = 8,10,12,15,15
![Mean value = (8+10+12+15+15)/5 =60/5 = 12](https://tex.z-dn.net/?f=Mean%20value%20%3D%20%288%2B10%2B12%2B15%2B15%29%2F5%20%3D60%2F5%20%3D%2012)
so required mean is 12 has been computed
Mode = 15 ( the number 12 is appeared in two times 8,10,12,15,15)
Final answer
The required numbers are = 8,10,12,15,15
Answer: ![19.31\ ft](https://tex.z-dn.net/?f=19.31%5C%20ft)
Step-by-step explanation:
Given
The tower is at a height of ![h=20\ ft](https://tex.z-dn.net/?f=h%3D20%5C%20ft)
the angle of depression is ![15^{\circ}](https://tex.z-dn.net/?f=15%5E%7B%5Ccirc%7D)
Suppose the surfer is x ft away from the base of the tower
![\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctext%7BFrom%20the%20figure%2C%20we%20can%20write%7D%5C%5C%5C%5C%5CRightarrow%20%5Ccos%2015%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bx%7D%7Bh%7D%5C%5C%5C%5C%5CRightarrow%20x%3Dh%5Ccos%2015%5E%7B%5Ccirc%7D%5C%5C%5CRightarrow%20x%3D20%5Ccos%2015%5E%7B%5Ccirc%7D%5C%5C%5CRightarrow%20x%3D19.31%5C%20ft)
Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.
Answer:
![\frac{5\pi }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)
Step-by-step explanation:
To convert from degree to radian measure
radian measure = degree measure × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Hence
radian measure = 225 ×
=
= ![\frac{5\pi }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)