use soh cah toa!
Step-by-step explanation:
soh= sin opposite/hypotenuse
sin (65°) 5/x
* x *x
x* (sin 65°)= 5
x (0.906308) =5
÷0.906308 = ÷0.906308
x≈ 5.51689
x≈ 5.5
So pretend weekend calls is x and weekday calls are y.
the formulas is x + y = 610
0.07x + 0.08y = 48.05
So, x = 610 - y
Then, substitute x into the second equation.
0.07(610 - y) + 0.08y = 48.05
42.7 - 0.07y + 0.08y = 48.05
0.01y = 5.35
y = 535
Then substitute y into the first equation.
x + 535 = 610
x = 75
Just to be sure, substitute x and y into the second equation.
0.07(75) + 0.08(535) = 48.05
5.25 + 42.80 = 48.05
48.05 = 48.05
So, on weekends, he used 75 minutes.
On weekdays, he used 535 minutes.
Answer:
100
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
5+x +75 = 180
Combine like terms
x+80 = 180
Subtract 80 from each side
x +80-80=180-80
x = 100
