Answer:
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the missing side that is 1/2 the side of the missing heptagon. You have to assume that the figure is a regular heptagon, something you should point out to your teacher. Math really requires well qualified diagrams.
c^2 = a^2 + b^2
c = 2.77
a = 2.5
b = 1/2 the side of the heptagon.
2.77^2 = 2.5^2 + b^2
7.6729 =6.25 + b^2
7.5629 - 6.25 = b^2
b^2 = 1.4229
b = sqrt(1.4229)
b = 1.1928
But the side is twice that long
s = 2.3857
Now draw another line from the side you just found. It will be the same length as 2.77. It's a radius of the circumcircle.
Area of the triangle so formed is
Area = 1/2 * b * h
b = 2.3857
h = 2.5
Area = 1/2 * 2.5 * 2.3857
Area = 2.982
There are 7 such triangles.
Answer: 7 * 2.982
Answer: 20.87
Answer:
Part a) 
Part b) 
Part c) 
Step-by-step explanation:
<u><em>The complete question is</em></u>
If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
a)6 years
b)12 years
c)18 years
we know that
The compound 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 in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
Part a) 6 years
we have
substitute in the formula above
Part b) 12 years
we have
substitute in the formula above
Part c) 18 years
we have
substitute in the formula above
They will need to sell 500 tickets
3500-1500=2000
2000/4 = 500
So they will need to sell 500 tickets!
Answer:
Solution = -2x-7y=-4
Step-by-step explanation:
Add the x-component to the x-component, add the y-component to the y-component, add the number to the number.
It looks like this
5x + (-7x) = -2x
9y + (-2y) = -7y
1 + (-5) = -4
Then, put the solutions in the places where you see them in the equation, x goes first, y comes second, then this equals the number value.
-2x - 7y = -4
