The hypotenuse of a right triangle is 10cm long. one of the triangle's legs is three times the length of the other leg. find the lengths of the three sides of the triangle. in case of non-integer answer(s), round your answer(s) to the nearest hundredth.

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

Step-by-step explanation:

Let

c ------> the length of the hypotenuse of a right triangle

x -----> the length of one leg

y -----> the length of the other leg

we know that

-----> equation A (Pythagoras Theorem)

----> equation B

-----> equation C

Substitute equation B and equation C in equation A and solve for y

Find the value of x

therefore

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

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;