Answer:
1,055.58 in^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We need the radius
r = d/2 = 12/2 =6
V = 1/3 (pi) (6)^2 *28
Using the pi button on the calculator
=1055.575132
Rounding to 2 decimal places
1,055.58 in^3
Answer:
Foil the expression and solve the derivative with respect to b at f'(x)=0
Step-by-step explanation:
See how there are two rectangle prisms? Find the area of both of them separate, and then add the two answers together.
Hope this helps!!
Answer:
correct
Step-by-step explanation:
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
