Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
Answer:
Commutative property of multiplication
Step-by-step explanation:
This property states that numbers can be switched around when multiplying and the answer still remains the same
Hello,
{x=y-3
{x+3y=13;
{x=y-3
{y-3+3y=13;
{x=y-3
{4y=13+3;
{x=y-3
{4y=16;
{x=y-3
{y=16:4=4;
{x=4-3=1
{y=4;
{x=1
{y=4
the solution to the system of equations is (1,4)
Bye :-)
Answer:
Step-by-step explanation:
We need to find which statements are true.
Solution to find the same we will solve each statement and will conclude the same.
1. 
Now On solving we get;
So we can see that 0.70 > 0.66
Hence The given statement is False.
2.
Now On solving we get;
So we can see that 0.5625 > 0.5
Hence The given statement is True.
3. 
Now On solving we get;
So we can see that 1.33 > 1.2
Hence The given statement is False.
4. 
Now On solving we get;
So we can see that 0.82 > 0.66
Hence The given statement is False.
Answer:
20.22 miles
Step-by-step explanation:
If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22
