Answer:
63/9 = 7 -> Yes
-94 -> Yes
30/6 = 5 -> Yes
-16/3 ~ -5,33 -> Nope
-29,86 -> Nope
Step-by-step explanation:
Integers are whole Numbers.
For example 1,2,3,4,5...
The numbers between numbers are rational numbers.
Fir example:
1,2 ( between 1 and 2)
3,8 (between 3 and 4)
2,6 (between 2 and 3)
A coefficient is a number that is attached to a term.
For example:
3x² - 5x + 6 = 0
The coefficient of x² is 3.
The coefficient of x = -5.
Hope this explains it.
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.
Answer:
7.2x10^-3--->.0072
Step-by-step explanation:
