Answer: The width of the border is 1 inch
Step-by-step explanation:
The area of the paper is
A = 5 in* 7in = 35 in^2
The area of the photo is 24 in^2
The difference in the area is 35 in^2 - 24in^2 = 11in^2
knowing that the inside area is of 24 in, we can write it as a product of two numbers, let's use x*y = 24
then we have that:
(7 -x)*(5 - x) = 24
where x is the width of the borders.
35 - 5x - 7x + x^2 = 24
x^2 - 12x + 11 = 0
the solutions are for this quadratic equation are:
![x = \frac{12 +- \sqrt{12^2 - 4*11*1} }{2} = \frac{12 +-10 }{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B12%20%2B-%20%5Csqrt%7B12%5E2%20-%204%2A11%2A1%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B12%20%2B-10%20%7D%7B2%7D)
so we have two solutions
x = (12 + 10)/2 = 11
this can not be the correct option, because the border will be larger than the actual paper, so we can discard this solution of the quadratic equation.
x = (12 - 10)/2 = 1
this is the correct answer, we found that the width of the border is 1 inch.
then we have:
(7 in - 1 in)*(5 in - 1in) = 6in*4in = 24in^2
Answer:
The answer to your question is diameter = 19.7 in
Step-by-step explanation:
Data
Circumference = 62 in
diameter = ?
Process
1.- Write the formula of Circumference, remember that circumference = perimeter.
Perimeter = 2πr
2.- Equal the equation to the value given
2πr = 62
-Solve it for r
r = 62/2(3.14)
-Result
r = 62/6.28
r = 9.87 in
3.- Find the diameter
diameter = 2r
diameter = 2(9.87)
diameter = 19.7 in
I googled it and the answer is 1,800 miles