Answer:
x
=
21/2
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
3x=x+21
Move all terms containing x to the left side of the equation.
2x=21
Divide each term by
2
and simplify.
x
=
21/2
Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Answer:
20 weekday hours and 16 weekend hours
Step-by-step explanation:
all u do is take 5 hours and multiple them by 4 weekdays so it gives u 20 hours and then u multiple 8 hours by 2 which is 16 hours
Answer:
∠ A = 59°, ∠ B = 48° , ∠ C = 73°
Step-by-step explanation:
The interior angles of a triangle sum to 180°
sum the 3 angles and equate to 180
x + x - 11 + 73 = 180
2x + 62 = 180 ( subtract 62 from both sides )
2x = 118 ( divide both sides by 2 )
x = 59
Then
∠ A = x = 59°
∠ B = x - 11 = 59 - 11 = 48°
∠ C = 73°
Answer:
12.5a-8.1b
Step-by-step explanation:
Remove the unnecessary parenthesis
14.2+9.8b-(13.1b-2a)-(3.7a+4.8b)
Collect like terms
12.5a+9.8b-13.1b-4.8b
Giving you the answer of: 12.5a-8.1b
