Answer:
5m
Step-by-step explanation:
Given data
Ratio of length to breadth is 5 : 3
hence in fraction form it is 5/3
the breadth of rectangle is 60m
let the length be x
So
5/3= x/3
cross multiply we have
5*3= 3x
15= 3x
divide both sides by 3
x= 15/3
x= 5m
Hence the length is 5m
Total gasoline = 10 gallons
Gasoline left after 100 miles = 5 gallons
Gasoline used in 100 miles
= Total gasoline - Gasoline left after 100 miles
= 10 gallons - 5 gallons
= 5 gallons
Gasoline used in 1 mile
= Gasoline used in 100 miles/100
= 5 gallons/100
= 0.05 gallons
Let the number of type A surfboards to be ordered be x and the number of type B surfboards be y, then we have
Minimize: C = 272x + 136y
subject to: 29x + 17y ≥ 1210
x + y ≤ 50
x, y ≥ 1
From the graph of the constraints, we have that the corner points are:
(20, 30), (41.138, 1) and (49, 1)
Applying the corner poits to the objective function, we have
For (20, 30): C = 272(20) + 136(30) = 5440 + 4080 = $9,520
For (41.138, 1): C = 272(41.138) + 136 = 11189.54 + 136 = $11,325.54
For (49, 1): C = 272(49) + 136 = 13328 + 136 = $13,464
Therefore, for minimum cost, 20 type A surfboards and 30 type B surfboards should be ordered.
Answer:
Option C) -cosu is correct
Therefore the simplified expression is 
Step-by-step explanation:
Given expression is 
To find the value of the given expression :
By using the formula 
Substitute A=u and
in the above formula we get

( here
and
)



Therefore option C) -cosu is correct
Therefore the simplified expression is 