5 feet is 5*12=60 inches. Therefore, our ratio is 28:60. Dividing both terms by 4, we see that the most simple ratio is 7:15.
Answer:
The formula is a^2 + b^2 = c^2
Step-by-step explanation:
A and B are legs and C is the hypothunisis.
The theorem is used for triangles.
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
sqr(41) = sqr(c)^2
c = 6.403124237
Answer:
2713
Step-by-step explanation:
The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi
The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi
Cylinder - Sphere = Shaded Volume
1152pi - 288pi = 864pi
Substitute 3.14 for pi, and you get
864(3.14) = 2712.96, which rounds to 2713
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.