Answer:
31/3 ×51/4
527/4
Step-by-step explanation:
Answer: 9 inches
Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).
Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches
Since the second equation gives a value for a, we can substitute it into the other equation to find a value for B.
Let's substitute b-2 into the first equation wherever there is an a.
a - 3b = 4
(b-2) - 3b = 4
b - 2 - 3b = 4
-2 - 2b = 4
-2b = 6
b = -3
Now let's find a by substituting -3 into either of the equations to find the value of a.
a = b - 2
a = -3 - 2
a = -5
So your solution set is (-5, -3)
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
Exponential growth has the form:
F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.
First let's solve for the rate, r, using the points provided...
37325/34560=(Ir^2)/(Ir^1)
r≈1.08
Now find the initial amount...
34560=I(1.08)^1
I=32000 so now we have the entire equation, using x and y...
y=32000(1.08)^x
