Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
_____
<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
__
It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
Answer:
B) No, the equation is not a good fit because the residuals are all far from zero.
Step-by-step explanation:
If you add the residuals, you get -60, which is small compared to the scale, but is still far from zero.
Answer:
angle KHL would be 80 degrees, because the angles next to it add up to 100 degrees, and they all have to form a supplementary angle.
Answer:
502.4 square inches
Step-by-step explanation:
To find the area of the shaded region, you first need to find the area of the smaller circle with diameter 12, and then subtract that from the area of the larger circle. Since the diameter of a circle is twice the radius, the radius of the smaller circle is 6, and its area is therefore:
The area of the larger circle, which has radius 6+8=14, is:
Subtracting the area of the smaller circle from his, you get an area of 502.4 square inches for the shaded area. Hope this helps!
