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In ABC Triangle A is 90° and AC =x
If SinB=x what is sinC=?
-3<5-2x<7 express it with modules
i. The economic order quantity,
ii. Number of orders per year
iii. Time period per order
iv. The total cost
1/3 of the coins are £1 coins
110 of the coins are 50p coins
the rest of the coins are 20p coins
work out the total value of the coins contained in the bottle
a) how many pieces of electric cable can be made out? ( 7 marks )
b) find the sum of the first 20 pieces of electrical cable. ( 3 marks )
a) x + 3y = 9 and 5x - 2y = 11
b) 4x + 3y =8 and 6x - 2y = - 14
c) 3x + 2y - 7 =0 and 5x - 6y = 7
2. Find the equation of the straight line which passes through the origin and through the point of intersection of the lines 4x - y- 3 =0 and x + 2y - 12=0
3. The sides of a triangle are given by the equations 2x + y = 5, x + 2y = 7 and
x - y = 1 find the vertices of the triangle and illustrate with a sketch.
4. Show that the three lines given by the equations 3x + 5y + 7 = 0, x + 2y + 2 = 0 and 2x - y + 9 =0 are concurrent (i. e. Pass through the one point)
i. Determine the mixed strategies (4 marks)
Calculate the value of the game.
i. Determine the EOQ and the optimal number of orders placed in a year. (3 marks)
ii. Determine the optimum production lot size and the average duration of the production run. (4 marks)
iii. Should the company manufacture the component internally or continue to purchase it from the supplier? (5 marks)