The base of a right triangle is 2 meters greater than the height. If the area of the triangle is 100 m2, what are the dimensions of the base and the height?

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

   (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

  (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

By solving the above quadratic equation we have:

And by entering the above value into equation (2) we have:

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

I hope it helps you!                            

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

answer: 4 (:

step-by-step explanation: