Answer:
Step-by-step explanation:
let’s say each side length is called a, b, and c
to find out if a side length is a solution you have to know that
a < b + c
b < a + c
c < a + b
if all of these are true then the given lengths can be the sides of a triangle
ex:
a = 3, b = 4, c = 5
3 < 4+5
3 < 9
this is true
4 < 3+5
4 < 8
this is true
5 < 3+4
5 < 7
this is true
so these side lengths can make a triangle
however, if one of these inequalities weren’t true (ex: 9 < 4) you wouldn’t be able to make a triangle with the given side lengths
Answer:
H
Step-by-step explanation:
here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.
focus on N and move on anti clockwise.
When N rotates anti clockwise about center from original to position G, is 60°,
when N moves on anti clockwise about center from original to position A is 120°.
similarly, to X is 180°, to E is 240° and to H is 300°.
so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.
Answer:
27 pieces
Step-by-step explanation:
1) first, multiply 6 times 3 (6×3=18)
2) 1 ft = 12 in. so you multiply the 18 by 12 (18×12=216)
3) now you divide the 216 by 8 (216÷8=27)
Answer:
The player should be required to pay $5 to make this a fair game.
Step-by-step explanation:
U ~ Uniform(0, 10)
E[U] = (0 + 10)/2
= 5
X | U ~ Poisson(U)
E[X | U] = U
By law of total probability for expectations,
E[X] = E[E[X|U]] = E[U] = $5
Therefore the player should be required to pay $5 to make this a fair game.
Answer:
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