Answer:
3b-10=20
Step-by-step explanation:
3b-10=20
3b-10+10=20+10
3b=30
3b/3=30/3
b=10
Answer:
106.68
Step-by-step explanation:
13.5*12=42
42*2.54=106.68
Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L
Area (A) = Length (L) · Width (W)
= (100 - W) · W
= 100W - W²
Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
0 = 100 - 2W
W = 50
refer to the equation above for L:
100 - W = L
100 - 50 = L
50 = L
Dimensions for the maximum Area are 50 ft x 50 ft
Answer:
0
Step-by-step explanation:
(sin(2n) − 1) / (sin n − cos n)
-(1 − sin(2n)) / (sin n − cos n)
-(1 − 2 sin n cos n) / (sin n − cos n)
-(sin² n − 2 sin n cos n + cos² n) / (sin n − cos n)
-(sin n − cos n)² / (sin n − cos n)
-(sin n − cos n)
cos n − sin n
Limit as n approaches π/4 is 0.