Answer:
.02, 1/5, .2 repeating
Step-by-step explanation:
.02
1/5 = 0.2 (Simply divide 1 by 5)
.2 repeating
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.
Answer:
area = 24 yd²
Step-by-step explanation:
convert the dimensions into yards using the conversion
1 yard = 3 feet
24 feet = = 8 yards
9 feet = = 3 yards
area = length × width = 8 × 3 = 24 yd²
Divide -3 from both sides leaving you with just m
make sure you switch the inequality sign