Area of the shaded region :
A ( shaded ) = A ( circle ) - A ( triangle ) =
= r² π - 12 √ 3 =
= 4² π - 12 √ 3 =
= 16 π - 12 √ 3 =
= 16 · 3.14 - 12 · 1.73 =
= 50.24 - 20.76 = 29.48
Answer: Area of the shaded region is 29.48 ft².
Answer:
use this
Step-by-step explanation:
velocity = distance / time…. So distance = velocity x time
Answer:
1/6 cubic unit
Step-by-step explanation:
Each plane describes the boundary of a triangular pyramid in the first octant. If we consider the x-y plane to be the base, that base will have an area that is 1/2 the product of the x- and y-intercepts. The height of the pyramid will be the z-intercept, so the volume is ...
V = (1/3)Bh = (1/3)((1/2)(x-intercept)(y-intercept))(z-intercept))
= (1/6)(x-intercept)(y-intercept)(z-intercept)
__
We can write the equation of each plane in intercept form by dividing by the constant on the right:
x/(x-intercept) + y/(y-intercept) + z/(z-intercept) = 1
1st plane: x/1 + y/1 + z/1 = 1 . . . . . enclosed volume = (1/6)(1)(1)(1) = 1/6
2nd plane: x/1 + y/1 + z/2 = 1 . . . enclosed volume = (1/6)(1)(1)(2) = 2/6
The difference between the volumes enclosed by the planes is the volume of the region between them, so is ...
V = (2/6) -(1/6) = 1/6 . . . . cubic units
_____
We note that the x- and y-intercepts of both planes are the same, so the volume is that of a triangular wedge having an edge on the line x+y=1 in the plane z=0.
I don't know exactly what "triangle proofs" represents, because there are varieties of proofs related to triangle.
But, as long as the geometric figures can be split into triangles, the proofs can be applied.
A coefficient is the number that goes with the letter such as 6x were 6 is the coefficient.