The formula for the volume of a cone is V = PI x r^2 x h/3
r = 1/2 the diameter. 1/2 of 8 = 4 inches.
h = height = 12 inches.
Using 3.14 for PI, the formula now becomes:
V = 3.14 x 4^2 x 12/3
V = 3.14 x 16 x 4
V = 200.96 cubic inches.
You do not say if the answer needs to be rounded, so round the answer as needed.
Answer:
y = (√x)/13 for x > 0
Step-by-step explanation:
Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation. The graph consists of the right-hand half of the parabola 169x^2. Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test. If x is restricted to (0, infinity), a horizontal line intersects this graph only once. Therefore, this function has an inverse.
1. Replace 'f(x)' with 'y:' y = 169x^2
2. Interchange x and y: x = 169y^2
3. Solve for y: y^2 = x/169, or y = (√x)/13 for x > 0
Answer:
There is an infinite number of solutions.
Step-by-step explanation:
When you simplify the left side of the equation, you get -7n - 14, which is equal to the right side. If you were to plug in any number for n, it will equal the same on both sides of the equation.
Answer:
x = 70
Step-by-step explanation:
The total sum of all of the angles in a parallelogram is equal to 360 degrees. Opposite angles are also congreuent meaning that angle ADC and angle ABC are equal. Adding the sum of the two angles gives you 220. Subtract 220 form 360 and you get 140 which is equal to the sum of angles BCD and BAD. Angles BCD and BAD and the sam so dividing 140 by 2 would give you the angle measure of x.
Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.