Answer:
1/151200
Step-by-step explanation:
The number of ways to pick an exact order of any 6 different numbers from 10
=
= 10×9×8×7×6×5 = 151200 ways
which means the first one can be any of 10 numbers
The second one can be any of 9 numbers
The 3rd one can be any of 8 numbers and so on
Now the 6th one can be any of 5 numbers
Thus there are 10×9×8×7×6×5 = 151200 ways to choose the number
so the required probability is 1/151200
Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
__
<h3>Triangle EGH:</h3>
EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
<h3>Triangle FGH:</h3>
FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
Answer:
Density (ρ) = 20000 kilogram/cubic meter
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = x² + 2x + 5
f(x+3) = (x+3)² + 2(x+3) + 5
= (x²+6x+9) + (2x+6) + 5
= x² + 8x + 20
116/240 which simplifies to 29/60 by dividing 116/240 by 4/4.