Answer:
A.9
F.27
Step-by-step explanation:
how i got 9 is by counting by 9 and i count 27,and 54
additional 27 times 2= 54
Answer:
Step-by-step explanation:
hello :
Part A : x+6y =6 means : 6y = - x+6
so : y = (-1/6)x+1 an equation for the line (D)
y = (1/3)x -2 is the line (D')
PartB : solution of the system : y = (-1/6)x+1 ....(1) color red
y = (1/3)x -2 ....(2) color bleu
is the intersection point : (6 ; 0)
PartC : Algebraically by (1) and (2) : (-1/6)x+1 = (1/3)x -2
(-1/6)x - (1/3)x = -2-1
(-x-2x)/6= -3
-3x = -18
so : x = 6 put this value in (1) or (2) : y = (-1/6)(6)+1 =0 the solution is : (6 ;0)
Answer:
12a + 3b.
Step-by-step explanation:
3(4a + b)
= 3 * 4a + 3 * b
= 12a + 3b.
Hope this helps!
Answer:
θ ≈ 40°
Step-by-step explanation:
Since, sinθ = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
cosθ = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
tanθ = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
In the picture attached,
Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.
tanθ = ![\frac{19}{23}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B23%7D)
θ = ![\text{tan}^{-1}(\frac{19}{23})](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%5E%7B-1%7D%28%5Cfrac%7B19%7D%7B23%7D%29)
θ = 39.56
θ ≈ 40°