Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
Answer: The equation is 5x = 12.50 and you will have the canoe for 2 and half hours or 2 hours 30 minutes.
Step-by-step explanation:
You rent the canoe for 5 dollars per hour and that can be represented by the expression 5x. After sometime you paid $12.50 meaning that to find the number of hours that you need the canoe, we need to set 5x to equal 12.50.
5x = 12.50 Solve for x by divide both sides by 5.
x = 2.5
This means you will need the canoe for 2 and half hours.
The estimated answer would be 480.81
It lies between -3 and -4.
An integer is any whole number, positive or negative.
