Idk you kno I am trying to get points right
Answer:
1296√3 cubic units
Step-by-step explanation:
The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.
The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...
B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units
The volume of the prism is then ...
V = Bh = (108√3)(12) = 1296√3 . . . cubic units
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<em>Comment on the geometry</em>
The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.
2x + 3y = 10 -> y = -2/3x + 10/3 it's a function
4x = 16 -> x =4 it's not a function
2x - 3 = 14 -> x = 8.5 it's not a function
3y = 18 -> y = 6 it's a function
2x = 6 -> x = 3 it's not a function
Answer:300 miles gor every 1 hour
Step-by-step explanation:
Okay so first ot gives you 3 numbers see how many hours is from 8am to 1pm then once you get that number divided it by your miles you will get how many miles will you go per 1 hour
