Answer:
138
Step-by-step explanation:
Because 180-42
Answer:
x = - 30
Step-by-step explanation:
x/3 + 8 = - 2 subtract 8 from both sides of the equation
x/3 = -2 - 8 = -10 now multiply both sides by 3
x = -30
Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.
Answer:
Step-by-step explanation:
You can’t just substitute 0 for θ. 0 is a constant, not a variable.
secθ = -13/5
cosθ = 1/secθ = -5/13
sin²θ = 1 - cos²θ = 144/169
sinθ = -12/13
cscθ = 1/sinθ = -13/12
tanθ = sinθ/cosθ = 12/5
cotθ = 1/tanθ = 5/12
Answer:
1
Step-by-step explanation:
1/(1+p+q^-1)+1/(1+q+r^-1)+1/(1+r+p^-1) = 1.
