Answer:
The percentage error is;
A. 1.79%
Step-by-step explanation:
The given parameters of the rectangular field are;
The length of the field = 62 feet
The width of the field = 25 feet
The width of the gate of the fencing = 9 feet
The actual length of fencing Pete used to fence the field, P₁ = 168 feet
The length of the fencing required in the design, 'P₂' is given as follows;
P₂ = 62 ft. + 62 ft. + 25 ft. + 25 ft. - 9 ft. = 165 ft.
The difference between the actual and design length of fence measurements = P₁ - P₂ = 168 ft. - 165 ft. = 3 ft.
The percentage error in the design measurements compared to the actual fence material used, % Error, is given as follows;
Therefore;
∴ The percentage error of Pete's design measurements compared to the actual fence material used, % Error ≈ 1.79 %.
First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)
Answer:
Step-by-step:
51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)
50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.
2 to the 8th power is 256.
It's the same as doing 2x2x2x2x2x2x2x2=256.