Answer:
6.7 /s.
Step-by-step explanation:
Initial velocity = u m/s
From the question, final velocity, v = - 2u m/s
Note - (the minus sign indicates that the direction was reversed and doubled)
t = 0.45
From equation of motion,
v = u + at
Acceleration, a = (v - u)/t
= (-2u - u)/0.45
= - 3u/0.45
Acceleration, a/Original speed, u = 3/0.45
= 6.7 /s
The answer is 2/3 times as heavy as the dog.
Since we are looking for the weight of the cat in relation to the dog's weight, we have to divide the cat's weight by the dog's weight.
5 1/2 = 5.5, 8 1/4 = 8.25.
5.5 / 8.25 = 2/3.
Every month she makes 4280 usd. $51,360/12 months...she pays her debt ($260) a month.....she will be approved. 1:16 Ratio
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
