Answer:
im pretty sure its c and d
Answer:
They are not similar
Step-by-step explanation:
To see whether the triangles are similar or not we can compare their side lengths:
AB = 24
AX = 6
AX/AB = 1/4 is the ratio now let's compare this to AY/AC
AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.
<span>(box volume/ball volume) * packing density = # mables that fit in box
max packing density is pi/3*sqrt(2) for spheres, according to the Kepler conjecture, so if ball volume is b,
(4.5 * 4.5 * 7.5 / b) * (pi/3*sqrt(2)) = 160
151.875 / b * (pi/3*sqrt(2)) = 160
151.875 * pi / b * 3 * sqrt(2) = 160
50.625 * pi / b * sqrt(2) = 160
10.125 * pi / 32 * sqrt(2) = b
b ~ 0.7
For a tin cylinder of 4.5 diameter, the volume is (4.5/2)^2 * pi * h. Using the formula again,
(box volume/ball volume) * packing density = # mables
(5.0625 * pi * h / (10.125 * pi / 32 * sqrt(2)) * (pi/3*sqrt(2)) = 160
(5.0625 * pi * h * 32 * sqrt(2) / 10.125 * pi) * (pi/3*sqrt(2)) = 160
5.0625 * h * 32 * sqrt(2) / 10.125 * (pi/3*sqrt(2)) = 160
162 * h * sqrt(2) * pi / 10.125 * 3 * sqrt(2) = 160
54 * h * pi / 10.125 = 160
54 * h * pi = 1620
h * pi = 30
h = 30/pi
h ~ 9.55
So if the marbles are of equal size, and both the box and cylinder are packed as tightly as possible, the cylinder would have to be 9.55 units tall.</span>
Answer:
81
Step-by-step explanation:
25 and 27 are not perfect squares so they can not be the answer.
36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81
