Solve the inequalities. 84 < 14m
55t > 176
x + 22.5 < 49.25
37.2 > n - 12

1. m > 6

2. t > 16/5

3. x < 26.75

4. n < 49.2

m > 6

t > 16/5

x < 26.75

n < 49.2

Step-by-step explanation:

84<14m

84-(14*m) < 0     Set to zero

84 - 14m   =  -14 • (m - 6)      

m-84/-14 ( isolate 14 by - 14 both side)

ie) m -84/-14  = m 84/-14

m > -84/-14    (then divide -84  by -14)

m> 6

55t > 176

55t  / 55 >176/55   (working left to right divide both sides by 55)

t > 16/5

x + 22.5 < 49.25  

x+22.5−22.5<49.25−22.5     (working left to right -22.5 each side.)

x < 26.75

37.2>n−12  

n−12<37.2               ( by flipping equation)  

n−12+12<37.2+12    ( working left to right + 12 to both sides)

n<49.2

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3