Answer:
the horizontal distance is increasing at a rate of 4.953 in/s
Step-by-step explanation:
since the rod is leaning up against the wall and its length L is constant , then the relationship between y ( vertical distance ) , x (horizontal distance ) and L is
x² + y² = L²
then using derivatives with respect to the time t in both sides of the equation
2*x*dx/dt + 2*y*dy/dt = 0
dx/dt = y/x*dy/dt
since we know that x² + y² = L² → x= √(L² -y²) , then
dx/dt = -y/√(L² -y²)*dy/dt
replacing values
dx/dt = -153 in /√[(165 in)² -(153 in)²]* (-2 in/s) = 4.953 in/s
therefore the horizontal distance is increasing at a rate of 4.953 in/s
Multiply the numerator with the whole number. If it is divisible by the denominator then it will be a whole number.
Answer:
6.75cm
Step-by-step explanation:
The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)
So, hypotenuse = length of straw = 22.5cm
perpendicular = 18cm
base = diameter of can(d)
Using pythagoras theorem
h² = p² + b²
(22.5)² = 18² + d²
506.25 = 324 + d²
d² = 506.25 - 324
d² = 182.25
d = 13.5cm
Now radius = d/2 = 13.5/2 = 6.75cm
Answer:
960
Step-by-step explanation:
it says use 3 for pi, so you plug the values into given equation
V = 3·(4)²·20
r is 4 because it is half of 8.
Then multiply
3·16·20 = 48·20 = 960
