Answer:
x = π/6, π/2, 5π/6, 3π/2
Step-by-step explanation:
cos x = sin(2x)
Use double angle formula.
cos x = 2 sin x cos x
Move everything to one side and factor.
cos x − 2 sin x cos x = 0
cos x (1 − 2 sin x) = 0
Set each factor to 0 and solve.
cos x = 0
x = π/2, 3π/2
1 − 2 sin x = 0
sin x = 1/2
x = π/6, 5π/6
The total solution is:
x = π/6, π/2, 5π/6, 3π/2
Answer:
2x+9
Step-by-step explanation:
(4x-15)-(2x-24)
4x - 2x - 15 - -24
4x - 2x - 15 + 24
2x - 15 + 24
2x + 9
2x+9
Answer:
102 textbooks
Step-by-step explanation:
From the above question,
The total amount in donations = $4,111 . They plan to use the money to buy new social studies textbooks. Each textbook costs $40.
If :
$40 = 1 textbook
$4,111 = x text books
Cross Multiply
40 × x textbooks = $4,111 × 1
x = $4,111/40
x = 102.775 textbooks
Since the number of textbooks is whole number and it cannot in be decimal, the number of textbooks they can purchase is 102 textbooks
Answer:
3/5 + 2/5·1/3 = 11/15
1 - 11/15 = 4/15
4/15 are 4 Problems
1/15 are 1 Problem
15/15 are 15 Problems
15 Problems were assigned for the weekend.