Answer:
x = 105 degrees.
Step-by-step explanation:
The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =
135 degrees.
So angle x = 360 - ( 120 + 135)
= 360 - 255
= 105 degrees.
Note we use the fomula T = 180( n - 2) to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.
9514 1404 393
Answer:
Step-by-step explanation:
The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.
a² = 7² -4²
a² = 49 -16 = 33
a = √33
Answer:
years 1–4: 62.4 bass per year
years 5–8: 67.6 bass per year
Step-by-step explanation:
If the population in year n is ...
p(n) = 3000·1.02^n
then the average rate of change from year 1 to year 4 is ...
(p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4
The average rate of change for years 1–4 is 62.4 bass per year.
For years 5–8, the rate of change is similarly computed:
(p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6
The average rate of change for years 5–8 is 67.6 bass per year.
Answer:
-7.7
Step-by-step explanation:
-18 divided by 7 = -2.57
-2.57 multiplied by 3 = -7.7
-7.7
I used simplistic form for this equation as the numbers where quite long.
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest 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 in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
