The reference angle for 150 degrees is 30 degrees.......and the cosine of 30 degrees = √3/2
However..remember....the cosine is negative in the second quadrant !!!
Divide 194 by 60 = 3 + (14/60) hrs = 3 + (7/30) hrs = 3.233.... hrs
18 - 3•x < -90 subtract 18 from both sides
-3x < -108 multiply both sides by -1 and reverse the inequality sign
3x > 108 divide both sides by 3
x > 36
-2(x-6)+7=35 simplify
-2x + 12 + 7 = 35 combine like terms
-2x + 19 = 35 subtract 19 from both sides
-2x = 16 divide both sides by -2
x = -8
Go to the calculator....hit he "2nd" button hit the "acos" button and then type in your fraction....hit enter
No prob
Go to the onsite calculator and divide 3 by 5......that will give you your answer
10+3(x+2)=31 simplify
10 + 3x + 6 = 31 combine like terms
16 + 3x = 31 subtract 16 from both sides
3x = 15 divide both sides by 3
x = 5
The amount is given by
1000(1.10)2 = $1210
g(x)=-3x+5
h(x)=x^2-3
g(x)-h(x) = [-3x + 5 ] - [ x^2 - 3 ] = -x^2 - 3x + 8