This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.
So if 2 is the common factor, you multiply the numerator and denominator by 2.
2: (8*2)/(5*2)= 16/10
3: (8*3)/5*3)= 24/15
4: (8*4)/(5*4)= 32/20
5: (8*5)/(5*5)= 40/25
10: (8*10)/5*10)= 80/50
Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50
If you simplify any of these fractions above, you will get 8/5 again.
To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5
16/10: 2 goes into 16, 2 goes into 10= 8/5
Hope this helps! :)
Answer:
C.
Step-by-step explanation:
7 distributes and subtracted by 25
Answer:
Step-by-step explanation:
plug in 3 , 5 and 17 for n
8 + 3(3 -1) = 8 + 6 = 14
8 + 3(5-1) = 8 + 12 = 20
8 + 3(17-1) = 8 + 48 = 56
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.
The answer is 32 cm. for the hexagon
