Since each odd (or even) is two greater than the previous number, two consecutive such numbers are n and n+2.
The we are told that the sum of two such number is 100, so we can say:
n+n+2=100 combining like terms on the left side you get:
2n+2=100
....
to solve, if you were interested...subtract 2 from both sides
2n=98 divide both sides by 2
n=49
So the two odd numbers are 49 and 51
The length of the open pit is Area divided by width
A/w = L
L = (12x^2 + 8x)/4x
L = 12x^2 / 4x + 8x/4x
L = 3x + 2
The length of the back part that has to be sealed is 3x + 2 + 2 + 2 = 3x + 8
Area of the White part and the shaded part = L * W
W = 10x -1
L = 3x + 8
Area of the White Part and the Shaded Part = (10x - 1)(3x +8)
The Area of the Shaded Part + White Part = the total area.
Area of the Shaded Part + 12x^2 + 8x = (3x + 8) * (10x - 1)
Expand the right hand side.
Area of the Shaded Part + 12x^2 + 8x = 30x^2 - 3x + 80x - 8 Combine
Area of the Shaded Part + 12x^2 + 8x = 30x^2 + 77x - 8
Answer
Subtract 12x^2 + 8x From both sides.
Area of the Shaded Part = 30x^2 - 12x + 77x - 8x -8
Area of the Shaded Part = 18x^2 + 69x - 8 Answer
Answer:
Step-by-step explanation:
θ=l/r
θ=6/11 radians
≈0.555... radians
Answer:
y = - 1x -3
Step-by-step explanation:
First you want to find the slope. you do this by dividing the change in y by the change in x.
8-1/-3-4
when you do this you get 7 over -7. therefore, the slope would be -1.
next, you want to plug this into a point-slope equation.
y-y1=m(x-x1)
y-1=-1(x-4)
now you simplify this equation into a slope intercept equation
y-1=-1(x-4)
at 1 to each side, and distribute the -1
y=-1x-4+1
simplify
y=-1x-3
You would just do the base times the height divided by pie