Answer:
35
Step-by-step explanation:
3x=81+24
3x=105
x=35
Answer:

Step-by-step explanation:
The reference angle is an acute angle that angle in standard position makes with the positive x-axis.
The given angle in radians is

This angle is already acute and hence it is itself a reference angle.
The reference angle of any angle in the first quadrant is the same angle.
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
Rewind the "mind movie" of what happened. She added $74 to her account and then had $192. Back it up by subtracting the $74 from $192.
192 - 74 = 118
Answer: $30.44
Step-by-step explanation:
$30 20% of tht is 6
30-6=24
tax is 6.4% which is 1.94
24+1.94 which equals $25.94
tips is 15% 4.5 so we add that to $25.94
so total is $30.44