Answer:
d=117.33 m
Step-by-step explanation:
Initial velocity of planes, u = 0 (because they are at rest)
Acceleration, a = 3.3 m/s²
Final take off speed, v = 88 m/s
We need to find the minimum allowed length for the runway. Let it is d. d will be the distance. It can be calculated using third equation of motion as follows :

Putting all the values, we get :

Hence, the minimum allowed length for the runway is 117.33 m.
Get a common denominator first.
89/120 becomes 1157/1560
90/130 becomes 1080/1560
Subtract the two and you get 77/1560
Answer:
The correct answer is 14000 units.
Step-by-step explanation:
Cost function of x number of units sold is given by C(x) = 12x + 56000
Revenue function is given by R(x) = 16x
We need to find the number of units sold in order to break even. That invariably means we need to find the number of units at which the cost is equal to revenue or the profit is zero.
Thus profit π = R(x) - C(x) = 16x - 12x - 56000 and this is supposed to be equal to zero.
∴ 4x - 56000 = 0
⇒ 4x = 56000
⇒ x = 14000
Thus 14000 units of the goods needs to be sold to break even.
Answer:
8
Step-by-step explanation:
In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long, so
2x-9 = 14/2
2x-9 = 7
2x = 7 + 9
2x = 16
x = 16/2
x = 8