5.15 for the first hour after subtracting 12.20(7.15)
Answer:
D. 20 ÷ 6 − 4
E. 1/6(20 − 24)
F. (20−24) ÷ 6
Step-by-step explanation:
6(x + 4) = 20
6(x) + 6(4) = 20
6x + 24 = 20
- 24 - 24
6x = -4
/6 /6
x = -4/6 or x = -2/3
D. 20 ÷ 6 − 4
20/6 - 4
20/6 - 24/6
-4/6 = -2/3
E. 1/6(20 − 24)
1/6(-4)
-4/6 = -2/3
F. (20 − 24) ÷ 6
- 4 / 6
-4/6 = -2/3
Hope this helps!
Answer:
steps below
Step-by-step explanation:
3.2.1 AD = DB* sin 2 = DB * sin θ .. DE // AB ∠2= θ ... (1)
By laws of sines: DB / sin ∠5 = x / sin ∠4
∠4 = θ-α ∠5 = 180°-<u>∠1</u>-∠4 = 180°-<u>∠3</u>-∠4 = 180°-(90°-θ)-(θ-α)) = 90°+α
DB = (x*sin ∠5)/sin (θ-α)
= (x* sin (90°+α)) / sin (θ-α)
AD = DB*sinθ
= (x* sin (90°+α))*sinθ / sin (θ-α)
= x* (sin90°cosα+cos90°sinα)*sinθ / sin (θ-α) .... sin90°=1, cos90°=0
= x* cosα* sinθ / sin (θ-α)
3.2.2 Please apply Laws of sines to calculate the length
Pi/6 = 180°/6 = 30°
This produces a triangle that has 30-60-90 angles.
Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1
Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3
Reflecting across the x axis maintains the same x coordinate, but changes the sign of the y coordinate.
So, the transformation is
