Answer:
The first one
Step-by-step explanation:
An easy way is SOH CAH TOA
SOH is that you use sine if you there is the opposite (in this case the question mark) and hypotenuse (the diagonal line)
CAH is that you use cosine for the adjacent side (1100) and the hypotenuse.
TOA is using tangent for the opposite and adjacent side.
To fine the question mark, you would use tangent. And plug in the given (1100 for the adjacent). So tan45 = x/1100.
If you need more help or clarification, let me know!
Answer:
The answer to your questions is: 25 new teachers
Step-by-step explanation:
Data
# of students = 2000
ratio = 3:80 teachers to students
New teachers = ?
Process
I suggest to use rule of three to solve this problem
3 teachers ---------------- 80 students
x ---------------- 2000 students
x = (2000 x 3) / 80 = 75 teachers
Number of initial teachers = 75
The ratio change to 1:20
1 teacher ------------------- 20 students
x ------------------- 2000 students
x = (2000 x 1) / 20
x = 100 teachers
Number of new teachers = 100 - 75 = 25

These numbers are 12 and 14.
Because angles in a triangle add up to 180, you can add up the given angles and then take that answer away from 180, so:
65 + 74 = 139
180 - 139 = 41°
So your answer is 41°, I hope this helps!
You need to use the slop formula (y2-y1/x2-x1)
9 -3/5--3
6/5+3
6/8
3/4
The slope is 3/4