The following set of linear equations 2x+2y=18 x+3y=17
1 answer:
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Answer:
1440
Step-by-step explanation:
We can solve this problem by applying the rule of three.
In fact, we know that:
- Over a package of 210 candies,
- The number of brown candies is 63
- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800
So we can set up the following rule of three:
where
x = number of brown candies when the total number of candies contained in the package is 4800
Solving the expression for x, we find:
So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.
First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First, 
. If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that 
. Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.