Answer:
On a unit circle, the point that corresponds to an angle of is at position .
The point that corresponds to an angle of is at position .
Step-by-step explanation:
On a cartesian plane, a unit circle is
- a circle of radius ,
- centered at the origin .
The circle crosses the x- and y-axis at four points:
Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.
When the angle is equal to , the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be .
To locate the point with a angle, rotate the segment counter-clockwise by . The segment would land on the positive y-axis. In other words, the -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be .
Answer:
24
Step-by-step explanation:
I don't really know how to explain sorry qwq
The population of the town from 2000 to 2020 is modeled by the equation:
Where t is the number of years since 2000.
We have to find the expected population of the town in 2002. The number of years from 2000 to 2002 are 2, so we have to find p(2). Replacing t by 2 in the above equation, we get:
So, according to the model, the population of town in 2002 is predicted to be 11,025.
Answer:
f^-1(-32)=6
Step-by-step explanation:
<u>Find the inverse of the function f(x)=4-6x:</u>
f(x)=4-6x
y=4-6x
x=4-6y
x-4=-6y
(x-4)/-6=y
-1/6x+2/3=y
y=-1/6x+2/3
f^-1(x)=-1/6x+2/3
<u>Plug in f^-1(-32) for f^-1(x) and simplify:</u>
f^-1(-32)=-1/6(-32)+2/3
f^-1(-32)=16/3+2/3
f^-1(-32)=18/3
f^-1(-32)=6
5*0.6=3
3*0.6=1.8
1.8*0.6=1.08
5+(3*2)+(1.8*2)+(1.08*2)=16.76 ft