The first one and the last one, the 2 middle ones are not corresponding
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
Answer:
Answer will be 
Step-by-step explanation:
We have given the expression 
We have to simplify this expression with the help of property of exponent
According to property of exponent when there is exponent to exponenet then both the exponent are multiplied with each other
So 
Here 4 and 3 are exponent to exponent so these are multiplied with each other
Answer:
It will be 2.27
Since the 8 in 2.268 is larger than 5, the 6 will turn to the next number. So, the answer will be 2.27.