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:
x = 2.8
Step-by-step explanation:
17x+1+20x-14 = 90
Combine like terms.
37x-13 = 90
Add 13 on both sides.
37x-13 = 90
<u>+13 +13</u>
37x = 103
Divide both sides by 37.
37x = 103
<u>/37 /37</u>
x = 2.8
(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)
Hopefully this helps you!! Have an amazing day c:
Answer: The required fraction = 
Step-by-step explanation:
Let the required fraction = 
Given: Initial height = 192 inches
Height of ball after second bounce = 
Height of ball after third bounce = 
After the third bounce it is 3 inches off the ground.
So,
Hence, The required fraction =
t = time to hike up the hill
3-t is the time to hike down the hill
so 4t = 6(3-t)
4t = 18-6t
10t = 18
t = 18/10 = 1.8 hours to hike up the hill
1.8 hours = 1 hour 48 minutes
, and
.
