The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus
![5\sqrt{3}](https://tex.z-dn.net/?f=%205%5Csqrt%7B3%7D%20)
. A whole side of the triangle is
![10\sqrt{3}](https://tex.z-dn.net/?f=%2010%5Csqrt%7B3%7D%20)
. Multiply that by 3 to get the perimeter of <span>
![30\sqrt{3}](https://tex.z-dn.net/?f=%2030%5Csqrt%7B3%7D%20)
.</span>
Answer:
r=20%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for r
![5r=2-1\\5r=1\\r=\frac{1}{5}=0.20=20\%](https://tex.z-dn.net/?f=5r%3D2-1%5C%5C5r%3D1%5C%5Cr%3D%5Cfrac%7B1%7D%7B5%7D%3D0.20%3D20%5C%25)
Answer:
The values is
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 2.45](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%202.45)
The standard deviation is ![\sigma = 0.35 \ mi](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%200.35%20%5C%20mi)
The random value is ![x = 2.03](https://tex.z-dn.net/?f=x%20%3D%20%20%202.03)
The standardized score for a binding site position of 2.03 microns is mathematically represented as
![z-score = \frac{x - \mu}{ \sigma }](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20%5Cfrac%7Bx%20-%20%20%5Cmu%7D%7B%20%5Csigma%20%7D)
=> ![z-score = \frac{2.03 - 2.45}{ 0.35}](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20%5Cfrac%7B2.03%20-%20%202.45%7D%7B%200.35%7D)
=> ![z-score = -1.2](https://tex.z-dn.net/?f=z-score%20%20%3D%20%20-1.2)
False.
e is an irrational number, then it cannot be the ration of two integer numbers.
That expression is only an approximation to the value of e.