What is the area of wxyz with vertices w(0,1), x(3,9), y(-1,8), z(-4,5) to the nearest unit

If you typed in the coordinates correctly, then there is only ONE 90° angle. So you will have to draw line segment WY to create 2 triangles.  Use the distance formula to find the lengths of the sides.  Use the right triangle area formula for ΔWYZ and use Heron's formula for Area of ΔWYX and add the two triangles together to get the area of the quadrilateral.

ΔWYZ

WZ = 4√2

ZY = 3√2

A = * 4√2 * 3√2

  = * 4 * 3 * 2

  = 4 * 3

  = 12

ΔWYX

WY = 5√2 ≈ 7.1

XY = √17 ≈ 4.1

WX = √73 ≈ 8.5

A =

  =

  =

  =

  = 28.11

ΔWYZ + ΔWYX

 12 + 28.11

= 40.11

40.11 units²

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