Assuming you want to find the length of the longest line segment, you would have to first determine where the longest line segment is.
If you can't do this straight away, then it'd be good to draw a diagram as I shown below, to visualise.
From there, you apply pythagora's theorem to the dimensions of the rectangular prism to find the length of the longest line segment.
I have attached the solution in a photo, including some explanation. Hope it helps :)
<span><span><span>2<span>x^3</span></span><span><span>−2</span><span>x^2</span></span></span>+<span>3x</span></span>+<span>1 is the reduced answer</span>
a^2 + b^2 = c^2
a = sqrt(c^2 - b^2) = sqrt (20^2 - 16^2)
= 12
sin
= a/c = 12/20
= 3/5
cos
= b/c = 16/20
= 4/5
tan
= a/b = 12/16
= 3/4
csc
= c/a = 20/12
= 5/3
= 1 2/3
sec
= c/b = 20/16
= 5/4
= 1 1/4
The answer is 2 19/50.
First of all you have to convert the mixed numbers into improper fractions. So, 1 2/5 is equal to 7/5 and 1 7/10 is equal to 17/10. Next you multiply the denominators by the denominators and multiply the numerator by the numerator. 7 times 17 is 119 and 5 times 10 is 50. So the fraction is 119/50. You convert the improper fraction into a mixed number, which is 2 19/50.