Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots
Answer:
12r-32
Step-by-step explanation:
Distribute the 4 between the different numbers.
3r * 4 = 12r and 8 * 4 = 32
So...you end up with 12r-32
Answer:
Step-by-step explanation:
B) Small triangle:
height = 20 - 15 = 5
base = 1
height to base = 5 :1
Medium triangle :
height = 60 -30 = 30
base = 2
height to base = 30 :2 = 15 :1
Large triangle:
height = 120 - 60 = 60
base = 4
height to base = 60 : 4 = 15 : 1
c) The ratios are same. This is true because wage and working hours are in direct proportion.
E) Take any two points. (1 , 15) & (2 , 30). Find the slope.
Slope = Change in y ÷ change in x
m = (30-15) ÷ (2 -1) = 15/1 = 15
y -y1 = m(x -x1)
y - 15 = 15(x - 1)
y - 15 = 15x - 15
y = 15x - 15 + 15
y = 15x
Answer:
435
Step-by-step explanation:
1500 x 0.29 = 435
Answer:
The coordinates of the gas station are (5, 9)
Step-by-step explanation:
As given,
George begins at (2,3), ends at (9,17), and stops at the gas station at (x,y). If the part to part ratio is 3:4
A P B
(2, 3) (x, y) (9, 17)
3 : 4
we use the Interval Division formula :
If P(x,y) lies on the interval A(x1,y1), B(x2,y2) such that AP:PB=a:b, with a and b positive, then
x= 
y=
Here , (x1, y1) = (2, 3)
(x2, y2) = (9, 17)
a : b = 3 : 4
⇒ x= = 
y= = 
∴ The coordinates of the gas station are (5, 9)
