Answer:
27.5 mm
Step-by-step explanation:
The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.
Let the side length of each of the side of the base of the pyramid be b, hence:
perimeter = 4b
80 = 4b
b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm
The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:
(b/2)² + h² = l²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.75 mm
The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.
The better bargain is the 4 quarts
Without the actually predicted values in comparison to the real values it is only possible to give a very likely answer based on their scale:
a) is 25 million off, which sounds bad but when compared to a few billion in population it's not even 1%
b)3 billion is more than half the world population as error: very unlikely
c)154 billion, unlikely that a prediction is off by a factor of ~30
d)same as c
so a) is most likely the solution, but in theory the predictions could be arbitrarily bad (things like negative population, or extreme growths)
2/5 divide -3/10 can be rewritten as 2/5 * - 10/3. Which is -20/15 = -4/3 = -1 1/3
