Answer:
3) 5 
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4 
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
 
        
             
        
        
        
Answer:
7/20
Step-by-step explanation:
Since y varies directly with x, the ratio of y to x is proportional.
... y / 7 = (1/4)/(5)
... y / 7 = 1 / 20 . . . . simplify
... y = 7/20 . . . . . multiply by 7
 
        
             
        
        
        
(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution
(-1,-7)
-7=11(-1)+4
-7=-11+4
-7=-7 ----solution
(1,-7)
-7=11(1)+4
-7=11+4
-7=15 
-7 is not 15 ----not a solution
(2,26)
26=11(2)+4
26=22+4
26=26 ----soltion
(-1, -7) & (2, 26) are solutions to the equation
        
             
        
        
        
Answer:
Discount = $30, Final price = $90
Step-by-step explanation:
25% is one quarter. 120/4=30 
One quarter of 120 is 30, so - 30 would give discounted price of $90.
Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.
Hope this helped! 
 
        
             
        
        
        
Answer:
 
 
Step-by-step explanation:
Given that 
Area of a circle 
Circumference of the circle 
Let us re-write the equation of area of circle:


Multiplying and dividing with 2:

Hence, <em>A</em> in terms of <em>C</em> can be represented as:
