Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of
The value of
Step-by-step explanation:
Generally the total angle that make up a circle is
From the diagram we see that
=>
Generally angle that is formed as a result of interception of a chord and a tangent is equal to the intercepted arc divided by 2
This implies that
substituting values
Year New flowers
1 1200
2 300
3 75
There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year
Initially there are 1200 flowers and start decreasing by
So first term is 1200 and common ratio is .
Its a geometric sequence so summation becomes
i =1∑ ∞ 1200(
Now we find the sum
We use sum formula
Where a is the first term , a= 1200
r is the common ratio , r= 1/4
Sum = 1600 wildflowers