Area = width * height
since the window is 20 inches higher than the width:
width +20 = height
640 = width * width+20
640 = width^2 +20*width
width^2 +20*width - 640 = 0
width = 17.203
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Double Check
if width = 17.203 then height = 37.203
area = 17.203 * 37.203 = 640 square inches Correct!!
That would be (171 + x) / 2....what u do to find the average is add up all the numbers, then divide by how many numbers there are.
Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic
10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)
Final Answer: 10
