Answer:
The radius of a hexagon is called the apothem, which in this case is 15.
We need to know the side length which is found by the equation:
side length = apothem * 2 * (tan (180 / #sides))
side length = apothem * 2 * (tan (180 / 6))
side length = 15 * 2 * (tan (30 degrees))
side length = 30 * .57735
side length = 17.3205
We need the perimeter of the hexagon which equals the side length times six.
perimeter = 6 * 17.3205 = 103.923
Source: https://www.1728.org/polygon.htm
Step-by-step explanation:
The formula is
A=p (1+r)^t
A future value?
P present value 25000
R interest rate 0.03
T time 9 years
A=25,000×(1+0.03)^(9)
A=32,619.33
Answer:
Total possible number of outcomes = C(24,6) [24 choose 6]
=24!/(6!18!)
= 134596
Out of which there is only one winning combination.
Therefore we conclude:
P(win 20000)=1/134596
P(lose 1)=134595/134596
and hence the expected value is:
20000*(1/134596)+(-1)*(134595/134596)
=-114595/134596
=-0.8514 (rounded to four places after decimal)
Step-by-step explanation:
Hope this helped!
Answer:
<h2>
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- inequality
- distribution
- PEMDAS
<h3>given:</h3>
<h3>to solve:</h3>
<h3>let's solve:</h3>
therefore,
Answer:
The answer to your question is: I bought 7 snacks
Step-by-step explanation:
Data
beginning balance = $42 = b
lunch = $1.80 = l
snack = $ 0.85 = s
final balance = $0.05 = f
f = b - 1.8l - 0.05s
0.05 = 42 - 1.8l - 0.85s
After 20 days I spent = 1.8(20) in lunches = $36
0.05 = 42 - 36 - 0.85s
0.05 = 6 - 0.85s
0.05 - 6 = -0.85s
-5.95 = -0.85s
s = -5.95/-0.85
s = 7
