14-16 I need help on plz. I missed an entire lesson in school while I was in the hospital. I need to also show my work. Thanks!

14. 28 inches

15. 6.3 cm

16. 1/2 yard

Step-by-step explanation:

14. use the pythagorean theorem for this problem

a^2 + 45^2 = 53^2

you get a^2+2025=2809

subtract 2025 from both sides to get

a^2=784

square root both sides to get 28

15. same thing as question 14

1.6^2+b^2=6.5^2

2.56+b^2=42.25

subtract 2.56 from both sides

b^2=39.69

square root both sides to get your answer

b = 6.3cm

16. again use the pythagorean theorem

.3^2+.4^2=c^2

.09+.16=c^2

.25 = c^2

square root both sides to get

c = .5

or

c = 1/2 yard

each side has a different length.  

step-by-step explanation:

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: