To solve the question we proceed as follows:
length=width=x ; g=height=h
thus
V=x*x*h
v=x^2h
dv/dt=2xh dx/dt+x^2 dh/dt
but
dx/dt=2 ft/sec
dh/dt=-2 ft/sec
thus plugging the values in the equation we get:
dv/dt=2×10×12+10²(-2)
dv/dt=240-200
dv/dt=40 ft³/sec
Step-by-step explanation:
See answer in above picture or attachment
Answer:
1256 cubic yards of sand.
Step-by-step explanation:
In this question we have to find the volume of cone formed by sand.
Height of the cone is = 36 feet
Radius of the cone = 60/2 =30 feet.
Now we know the formula of volume of cone v = π r² (h/3)
By putting the values of r and h we can get the volume of sand to spread.
Volume = π×(30)²×(36/3) = 3.14×900×12 feet³
= 33912 feet³
Now we will convert feet³ to cubic yards
Since 1 cubic feet = .037037 cubic yards
therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.
So the answer is 1256 cubic yards of sand has the department received.
R and s are parallel
m<2 = m<6
but m<6 + m<8 = 180
so
m<2 + m<8= 180
answer
B. m<2 + m<8= 180
