Suppose we let
, so that
.
Also, recall the double angle identity for cosine:

So, we can rewrite and compute the integral using the substitution, as





(x-2)^2 + (y-3)^2 = 25
center is 2,3
diameter is 10
rad is 10/2 = 5
Mark brainliest please
<h2>
Answer:</h2>
<h3>(0,14) and (2,11)</h3>
<h2>
Step-by-step explanation:</h2>
points are on the graph of the line:-
⠀
we get,
⠀
⠀
In,(0,14)
If we put the value ,x=0
y=
So,we get one point,(0,14)✔
In,(2,11)
If we put ,x=2
y=
so,we get another point (2,11)✔
in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀
Answer:
The probability of rolling a 6 on the next toss = 1/6
Step-by-step explanation:
Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.
To find - What is the probability of rolling a 6 on the next toss?
Proof -
As the outcomes of previous rolls do not affect the outcomes of future rolls.
And there is one desired outcome and six possible outcomes.
So,
The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.
So,
The answer is -
The probability of rolling a 6 on the next toss = 1/6