Answer:
Step-by-step explanation
The given point 
tells us that the terminal side of 
is in the fourth quadrant.
From the diagram in the attachment,
We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.
Let the hypotenuse be 
. Then,
Now we use the sine ratio;
.
But since the terminal side of is in the fourth quadrant, the sine ratio must be negative.
This implies that;
.
We rationalize the denominator to get;
.
Answer:
k=16
Step-by-step explanation:
Combine all the like terms
- 2k+10+5k-25+3k+35 =180
- (2k+5k+3k) + (10-25+35) = 180
- 10k + 20 = 180
Solve for k by subtracting 20 on both sides and then dividing by 10 on both sides
Yes...the person's hypothesis could be correct.
Answer : 3, 360 ways
Total number of people running the race = 16
We have three slot to be filled for first, second and third
Any person can take the first position irrespective of the arrangement
one out of the 16 people can come first
out of the 15 people remaining , one person can also come second remaining 14
out of the 14 people, one person can also come third
The number of ways the gift can be awarded = 16 x 15 x 14
The nummber of ways the prizes can be awarded = 3360 ways
