Answer:
AC = 12.5 cm
Step-by-step explanation:
use cosine law c^2 = a^2 + b^2 − 2ab cos(C)
c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)
c^2 = 156.84
c= √156.84
c= 12.5 cm
The cosine rule is used when we are given either three sides or two sides and the included angle.
 
        
                    
             
        
        
        
Answer:
Given the expression:
1. 

we know:

then;

Therefore, the value of expression  is -16 i.e negative.
 is -16 i.e negative.
2. 

we know:


then;

Therefore, the expression  is 16 i.e Positive.
 is 16 i.e Positive.
3.

we know:

then;

Therefore, the expression  is 16 i.e Positive.
 is 16 i.e Positive.
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)
m =  =
 =  = - 1
 = - 1
Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 or y = 6 - x ⇒ B
 
        
             
        
        
        
Answer:
-14/5
Step-by-step explanation:
+ - you have to remove the plus sign so it just becomes -
then you get,
-11/5 - 3/5 = -14/5
 
        
             
        
        
        
5 2/3 ÷ 2 1/8 = 17/3 ÷ 17/8 = 17/3 x 8/17 = 8/3 = 2 2/3