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:
x=0.933333
Step-by-step explanation:
First you add 6 to both sides of the equation
15x - 6 + 6 = 8 +6
That gives you 15x = 14
Then you divide 15 on both sides of the equation
That gives you x = 14/15 = 0.93333
Convex Polygon:
A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.
Lets simplify the given problem,
If we try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:
1070 =[n - 2] x 180, where n = number of sides

n = 7.94 number of sides. Since this is not a whole number, will simply round it up to 8.
Hence the number of sides is 8
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The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken.
The speed that a tsunami can travel is modeled by the equation
s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.
S = 356√d
200 = 356√d
√d = 200/356
= 0.5618
d = 0.5618^2
= 0.316 km
d = 0.32 km.
Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
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Answer:
1) B. on, 2) D. 19.2, 3) C. 0
Step-by-step explanation:
1) The value of y according to the regression line is:


Hence, the point (8,19.2) is <em>on </em>the least-squares regression line.
2) The value of y according to the regression line is 19.2.
3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.