Solution :
Given :
The height of the person is 5 foot.
The height of the lamppost is 12 foot.
Speed of the person away from the lamppost = 4 ft/s
Let the distance of the tip of the shadow of the perosn to the pole at t seconds after the person started walking away from the pole be d(t).
By similarity of the triangles, we see that
.................(i)
Here x is the distance from the person to the tip of the shadow. As it is given the speed of the person is 4 ft/s, then the distance of the person from the pole 4t. So we have,
x = d - 4t .............(ii)
Putting (ii) in (i) and solving for d is
d(t) = 6.85 t
So now if we derive d(t), we will get the wanted rate of the tip of the shadow.
∴ d'(t) = 6.85 ft/s
Given :
Sandra has 1,120 photos. She wants to place them in a photo album. Each page in the album will hold 8 photos.
To Find :
Number of pages required .
Solution :
Let, number of pages required are x.
Now,
Hence, this is the required solution.
Answer:
2062.79 inches cubed
Step-by-step explanation:
Formula- πr2h
= π×6.82×14.2
= 656.608π
= 2062.7948690883 inches cubed