Answer:
Step-by-step explanation:
3x - 10 = x + 30
2x = 40
x = 20
Answer:
it would take chad 8.1 hours to paint the fence on his own
Step-by-step explanation:
So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)
Y-5= 1/3(x-3)
Solve(turn to y intercept form):
Y-5= 1/3x -1
Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
Answer:
x=0
Step-by-step explanation:
combine like terms on both sides of the equal sign
-9+x= x-7
move similar terms to the same side
-2=0x
divide both sides by x
x=0
