Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
Answer:
- 75 - 32y
Step-by-step explanation:
2y-3[3-4(y-5)+2(1-3y)]
= 2y - 3(3 - 4y + 20 + 2 - 6y)
= 2y - 3(25 - 10y)
= 2y - 75 - 30y
= - 75 - 32y
Brainliest???
Simplifying
2x + 3y = 12
Solving
2x + 3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
2x + 3y + -3y = 12 + -3y
Combine like terms: 3y + -3y = 0
2x + 0 = 12 + -3y
2x = 12 + -3y
Divide each side by '2'.
x = 6 + -1.5y
Simplifying
x = 6 + -1.5y
Mean of doctor 1: 12
Median of doctor 1: 9.5
Mean of doctor 2: 16
Median of doctor 2: 19.5
Answer:
Step-by-step explanation:
Based off the typical rules of integers, expressions like these can be simplified to look different but mean the same thing.
In this case, we subtracted a negative value from a positive value; by doing this, we actually added positive 4.
Based on the same principals, adding a negative number is equivalent to subtraction!
Any time you see equations similar to this, you want to cancel out the 2 negative signs to make it positive!
Please look at the attached file for more information :)