Answer:
74 degrees
The angles are adjacent, since they have a common side (adjacent basically means right next to each other).
Step-by-step explanation:
180 - 106 = 74
Both angles are supplementary, since they add up to 180 (make a straight line together).
So,
All we have to do is multiply the amount of water Andy carried by the fractional amount he drank.
1/2 * 2/3
This is pretty simple. To halve TWO-thirds, just halve the numerator, since it's such a nice number.
Presto. Half of two is one.
Therefore,
1/2 * 2/3 = 1/3
Andy drank 1/3 gallons of water on his hike. That's 5 1/3 cups of water. I would estimate his hike to be about 3 miles. Easy peasy.
On your calculator, make sure you're in radian mode, not degree mode, that you are in a trig coordinate plane (do this by hitting "zoom" and choosing ZTrig), and when you enter the function into the "y =", you have to enter it in like this: 7cos(2x)-3. Hit "graph" and you'll see that the wave goes through the x-axis in 4 places within your specified interval. Hit 2nd and "trace" and then "zero". Move your cursor so it's just above the x-axis where the curve goes through and hit enter, then move it so it's just below the x-axis where the curve goes through and hit enter again. Hit enter a 3rd time, and you SHOULD see that your x has a value while y = 0. Do that for all of the places where the curve goes through the x-axis. That's how you find the zeros of a trig curve (or any curve, for that matter) on a calculator. The zeros are the solutions. If this was solvable like a regular equation, using trig identities and right triangles, you wouldn't have to use your calculator. But just like when you go to factor a second degree polynomial and you're having trouble with it you can use the quadratic formula and it's never-fail, neither is your calculator.
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