Answer:
dV/dt = 13,5 [Km³/h]
Step-by-step explanation:
The volume f the cube is:
V = x³ where x is a side of the cube, then tacking derivatives with respect to time on both sides of the equation
dV/dt = 3*x² dx/dt
dx/dt = 2 km/h
at the time when the side x = 1,5 Km
dV/dt = 3* (1,5)²*2 [km³/h]
dV/dt = 13,5 [Km³/h]
Answer:
AB =
cm
Step-by-step explanation:
As we can see from the figure, BCDE is a square with each corner equal to 90°.
So that, BDE is a right triangle with corner BED equal to 90°
As BDE is a right triangle, according to Pythagoras theorem, we have:
cm
As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE
=> AD is perpendicular to BD
=> ADB is the right triangle with corner ADB equal to 90°.
As ADB is the right triangle, ccording to Pythagoras theorem, we have:
cm
=>
cm
Conclusion: AB =
cm
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
P = 8 because 8+1=9 and 9•2=18