Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB = 
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p =
=
=
, thus
p =
(
) ≈ 59°
Number of matchsticks required is 2. Rule which matchstick pattern is 2 x n.
The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,

From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
One because if you look at the graph you go to 3 and there is only one.
X/2-y/3=3/2
(6×x/2)-(6×y/3)=6×3/2
3x-2y=9______(1)
x/3+y/2=16/3
(6×x/3)+(6×y/2)=6×16/3
2x+3y=32_____(2)
(1)×3____9x-6y=27____(3)
(2)×2____4x+6y=64____(4)
(3)+(4)___13x=91
x=7
3(7)-2y=9
-2y=-12
y=6