Answer:
-2
Step-by-step explanation:
So if the driveway is 45 feet long and he clears 6 feet per hour, we can divide 45 by 6 to find out how many hours it will take for him to clear the driveway and that is essential
45 / 6 = 7.5
45 feet / 6 feet per hour = 7.5 hours to clear the driveway
So now we know that the graph will end when he clears the driveway
If we know he will finish after 7.5 hours then find the graph that ends at the 7.5 hour mark, and that is the last one
Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.
cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)
Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)
cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.
-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)
(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)
Answer:
The red line segment is also 8.
Step-by-step explanation:
The center to a point on a cirlce is always equal.