Cos theta would be (adjacent side) / (hypotenuse), or 8/29.
Thus, the angle theta would be the inverse cosine of 8/29, which is
1.291 radians or 73.987 degrees.
Given this result, just take the sine of this angle.
Answer:
6 hours
Step-by-step explanation:
First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.
You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.
You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours
C because if the line Q is 1,5 and 1,8, it would have to be a vertical line, as the X axis doesn’t change. As i know, a vertical line always has a slope of 0, and a horizontal line (which the x-axis is) always has an undefined slope.
So since its a right triangle, we can use the pythagorean theorem, which is
. Since we know that 2 and 3 are our legs and x is our hypotenuse, we can solve the equation as such:

Since √13 can't be further simplified, that is your final answer.