Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>
Answer:
(3, 4 )
Step-by-step explanation:
3x - y = 5 → (1)
x + y = 7 → (2)
adding the 2 equations term by term will eliminate y
4x + 0 = 12
4x = 12 ( divide both sides by 4 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (2)
3 + y = 7 ( subtract 3 from both sides )
y = 4
solution is (3, 4 )
Answer: $12.
Step-by-step explanation:
4 overtime hours at the double-time rate =
4*2=8 regular hours.
Hence,
Mrs. Fisher worked her 40+8 regular hours last week.
Mrs. Fisher worked her 48 regular hours last week.
Her gross pay was $576.
So,
$576:48=
$12.
Answer:
64 fl oz
Step-by-step explanation:
assuming "8c" represents 8 cups,
