Searches related to The height of a triangle is 4 feet greater than the base. The area of the triangle is 336 square feet. Find the length of the base and the height of the triangle.

base = 24 ft

height = 28 ft

Step-by-step explanation:

first we have to identify the 2 equations that give us

h = b+4

h*b/2 = 336

Now let's replace the h with (b + 4)

(b+4)*b/2 = 336

(b^2+4b)/2 = 336

b^2 + 4b = 336*2

b^2 + 4b = 672

b^2 + 4b - 672 = 0

when we have an equation of the form Ax ^ 2 + Bx + C = 0

we can use bhaskara

(-B√(B^2-4AC))/2A

we replace with the values

(-4√(4^2-4*1*-672))/2*1

b1 = -4 + 52 /2 = 24

b2 = -4 - 52 /2 = -28

we can only use positive values

b = 24

to know the height we replace b with 24 in the equation of the beginning

h = b+4

h = 24+4

h = 28

to corroborate we can calculate the area and see if it gives us correct

h*b/2 = 336

28*24/2 = 336

672/2 = 336

336 = 336

correct

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