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
Answer:
52.5
Step-by-step explanation:
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.
Substitute values:
Convert into percentage:
Therefore, the corresponding interest rate would be 3.045%.
Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.
Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0
Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.