Answer:
The wide of the walkway is 5ft.
Step-by-step explanation:
In first place you have a rectangular garden of 30ft by 40 ft as shown in Figure 1 (Added file).
So, the area of this rectangle is:
Area=1200ft
Now, the new garden has a walkway of uniform width around it, and the area of the new rectangle is one-half the area of the old garden
In order to be a walkway of uniform width it's necessary to substract of each side the same amount, for this case will be 5 ft, as shown in the Figure 2. Now the new rectangule is 20ft by 30ft.
Which is exactly one-half the area of the old garden.
This means the width of the walkway is 5ft.
Answer:
Take x = 10.2 in. or x = 10 in.
Step-by-step explanation:
Given :
Length = (2x+3) in.
Breadth = x in.
Also, the Area of Rectangle = 240 sq in.
We know that,
Area of Rectangle = length x breadth
240 = (2x+3) x
2x² + 3x = 240
2x² + 3x - 240 = 0
Solving 2x²+3x-240 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B²-4AC
x = ————————
2A
In our case, A = 2
B = 3
C = -240
Accordingly, B² - 4AC = 9 - (-1920) = 1929
Applying the quadratic formula :
-3 ± √ 1929
x = ——————
4
√ 1929 , rounded to 4 decimal digits, is 43.9204
So now we are looking at:
x = ( -3 ± 43.920 ) / 4
Two real solutions:
x =(-3+√1929)/4=10.230 ≈ 10
or
x =(-3-√1929)/4=-11.730
We'll take x = +ve value for calculation of length and breadth.
Therefore,
Length = [2(10.2) + 3 ]
L = 23.4 in.
Breadth = 10.2 in.
OR
Length = [2(10) + 3]
L = 23 in.
Breadth = 10 in.
The odds against the horse winning is given as 5:4
This means for every 5 times the horse loses it will win 4 times.
5 loses + 4 wins = 9 races.
The probability the horse wins would be 4 races out of 9 total races, which would be written as 4:9
Answer:
7x(x−1)
Step-by-step explanation:
