So a box of 20 chocolates is divided between a group of people based on age
So the ratio for Sibusiso, Dorris, and Freddy is 2:3:5
Add these together, and you get 10
So to find how much each person gets, divide total amount of chocolates by total age
So (20÷10) = 2
So multiply each age term by 2 and you have your answer
(4:6:10)
So Sibusiso gets 4, Dorris gets 6 and Freddy gets 10
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:
The area of a triangle= bh/2. Substitute
12(x+6)/2 ≤ 72
12(1/2x+3) ≤ 72
6x+36 ≤ 72
6x ≤ 72-36
6x ≤ 36 Divide both sides by 6
x ≤ 6
x|x ≤6 (read: x, where x is equal or smaller than 6)
Step-by-step explanation:
<h3>
Answer:</h3>
<u>If AB = 12units, then</u>
- A'B' = 1/2 × 12 = 6units.
<u>If C'D' = 5units, then</u>
Answer:
See below.
Step-by-step explanation:
It is the one at the top left side.
The line y = x passes through the origin at an angle of 45 degrees to the x axis and rises to the right.
So if you imagine its a mirror you'll see that its a reflection in that mirror.
