Answer:
20
Step-by-step explanation:
Use the simple perimeter formula.
P = 2L + 2W
P = 2(9) + 2(5)
P = 19 + 10
P = 29ft
Therefore 29ft of fencing will be needed.
Answer:
150+55w
Step-by-step explanation:
150+55w
150 never changes
(55)(w), 55 changes depending on number of weeks
Answer:
1/18
Step-by-step explanation:
Probability of spinning red=2/6=1/3
Probability of spinning green=1/6
probability of spinning green and then red=(1/6)*(1/3)=1/18
Answer: cos(x)
Step-by-step explanation:
We have
sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and
cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)
From eq. (1)
if x = y
sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)
From eq. 2
If x = y
cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)
cos (2x) = cos²(x) - sin²(x)
Hence:The expression:
cos(2x) cos(x) + sin(2x) sin(x) (3)
Subtition of sin(2x) and cos(2x) in eq. 3
[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)
and operating
cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)
cos (x) [ cos²(x) + sin²(x) ] = cos(x)
since cos²(x) + sin²(x) = 1
