Answer:
its 15.43
Step-by-step explanation:
you didnt put a picture for the polygons but im pretty sure this is from math nation.
Answer:
5 2/11
Step-by-step explanation:
Answer:
See proof below
Step-by-step explanation:
We have to verify that if we substitute
in the equation
the equality is true.
Let's substitute first in the right hand side:

Now we use the distributive laws. Also, note that
(this also works when the power is n-2).



then the sequence solves the recurrence relation.
Answer:
(A)398 cubic inches
Step-by-step explanation:
Given a cylindrical piece of iron pipe with the following dimensions:
- Height = 12 inches
- Diameter = 8 inches
Therefore: External radius =4 Inches
Since the wall of the pipe is 0.75 inch thick,
Internal Radius =4-0.75 =3.25 Inches
Volume of a Cylinder = 
Inside Volume of the Pipe

The correct option is A.
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be
, the first and second derivatives are, respectively:
First Derivative

Second Derivative

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:


(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:


The highest altitude that the object reaches is 576 feet.