Answer:
Step-by-step explanation:
- 1.4 < h + 1.1
Solve for H. Get H by itself by subtracting 1.1 on both sides of the equation.
-1.4 - 1.1 = - 2.5
-2.5 < h
_
Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
<span>A parallelogram is a 4-sided shape where opposites sides are parallel. A rectangle is a special case of a parallelogram. All rectangles are parallelograms.
But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.
Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.
It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars. </span>
I wish you would of put a picture but with what you gave me. if the angle is a straight line then you would just set it up like 96+x=180 bc a straight line ='s 180 and den subtract 96 from 180 which is 84 so x would = 84 if the angle is a supp. angle but til there's not a picture this might be wrong.
But i hope this helps have a nice nite!
