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:
The speed with which Ryan was rowing was 4 mph
Step-by-step explanation:
With a small boat, Ryan wants to row towards an island and come back at a speed of x mph and the island is 20 miles away from him.
Therefore, total 20 + 20 = 40 miles he rowed for 5 hours.
On the way to the island, there was a wind of 4 mph in the direction of his motion and on the way back also there was a wind of 4 mph in the direction of his motion.
So, in the total journey, he has a speed of (x + 4) mph.
Therefore, 
⇒ x + 4 = 8
⇒ x = 4 mph.
Therefore, the speed with which Ryan was rowing was 4 mph. (Answer)
Answer:
1. 6
2. 9
3. 9
4. 6
5. 9
6. 6
Step-by-step explanation:
The answers are in the order listed on your assignment page.
Hope this helps :)
Answer:
13 1/2
Step-by-step explanation:
Just multiply 3.5 and 4.75
AKA
3 1/2 and 4 3/4
Change 1/2 into 2/4 so the denominators are the same
Multiply the numerators 2 and 3, you now have 6/4
3 × 4 = 12
6/4 is improper so, you need to simplify
now you have 1 1/2
Now 12 + 1 1/2 = 13 1/12
, and
.
