Answer:
D
Step-by-step explanation:
Just took it.
Answer:
1
Step-by-step explanation:
5-8 -3
----------=
-5--8 -3
-3
-----= 1
-3
Hope this helps!
6(x-17) it is disturbing 6
it is 6x-102 or 6x-6.17
so the answer is C
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
_____
<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: Yes it is possible to construct a triangle and it will be an isosceles triangle.
Step-by-step explanation:
The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
The given sides of the triangle is 4 inches, 4 inches, and 7 inches.
Here,
So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.
Since it has two equal sides as 4 inches , then it must be an isosceles triangle.
