The set of a numbers 3, 4, 5 and 8, 15, 17 are pythagorean triples. use what you know about pythagorean theorem and explain or show why they are pythagorean triple. be sure to show your work for each step of triples

Hey there!!

Pythagorean theorem :

a^2 + b^2 = c^2

'c' being the hypotenuse is the largest of all the sides.

Given:

3,4,5

5 is the largest and hence, it is the hypotenuse.

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

Hence, they are triplet.

Given:

8 , 15 , 17

17 = largest = hypotenuse

8^2 + 15^2 = 17^2

64 + 225 = 289

289 = 289

Hence, they are triplet.

Hope my answer helps!

Happy Thanksgiving! :)

Because (3*3)+(4*4)=25

9+16=25

(8*8)+(15*15)=17*17

64+225=289

289=289

the answers are in the images, i received 100% on this assignment. hope this !

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;