Answer:
![-\frac{10}{3}ft/s](https://tex.z-dn.net/?f=-%5Cfrac%7B10%7D%7B3%7Dft%2Fs)
Step-by-step explanation:
We are given that
Height of man=5 foot
![\frac{dy}{dt}=-10ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D-10ft%2Fs)
Height of street light=20ft
We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.
ABE and CDE are similar triangle because all right triangles are similar.
![\frac{20}{5}=\frac{x+y}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D%3D%5Cfrac%7Bx%2By%7D%7Bx%7D)
![4=\frac{x+y}{x}](https://tex.z-dn.net/?f=4%3D%5Cfrac%7Bx%2By%7D%7Bx%7D)
![4x=x+y](https://tex.z-dn.net/?f=4x%3Dx%2By)
![4x-x=y](https://tex.z-dn.net/?f=4x-x%3Dy)
![3x=y](https://tex.z-dn.net/?f=3x%3Dy)
![3\frac{dx}{dt}=\frac{dy}{dt}](https://tex.z-dn.net/?f=3%5Cfrac%7Bdx%7D%7Bdt%7D%3D%5Cfrac%7Bdy%7D%7Bdt%7D)
![\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B3%7D%28-10%29%3D-%5Cfrac%7B10%7D%7B3%7Dft%2Fs%3D-%5Cfrac%7B10%7D%7B3%7Dft%2Fs)
Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=![-\frac{10}{3}ft/s](https://tex.z-dn.net/?f=-%5Cfrac%7B10%7D%7B3%7Dft%2Fs)
If a rational number after dot "like 5.52") is smaller than 5(half) , then you assume the first number before that dot stuff :p
For example:
-》11,2 =11
-》 4.19= 4
-》2,2 = 2
etc
But if it's bigger than 5 or equals 5 , u assume the first number before that dot stuff +1
For example :
-》5.5 =6
-》3.9=4
-》225.7= 226
etcetc
so the answer is:;;
5.52 --》 52 is bigger than a half (50) so ur gonna assume like 6
1,6 --》(it equals with 1.60 too)
6 is bigger than 5 so ur gonna assume 2
6÷2 =3
Hope it helps! :))
#MissionExam001
Answer:$12 dollars and hour
Step-by-step explanation:
7 hours times 5 days a week equals 35 hours. 420/35 hours equals 12 dollars