What is the area, in square units, of triangle STU?

9514 1404 393

  14.5 square units

Step-by-step explanation:

There are several methods for finding the area of an acute scalene triangle with mostly irrational side lengths. Here's one.

Define X(4, 2) and Y(9, 2). The trapezoid XUTY has bases XU=9-2=7 and TY=6-2=4. Its height is XY=9-4=5, and its area is found from the formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(7+4)(5) = 55/2 = 27.5

The area of our triangle is this trapezoid's area less the areas of triangles XUS and YTS. Those areas can be found from the formula ...

  A = 1/2bh

  ∆XUS area = 1/2(2)(7) = 7

  ∆YTS area = 1/2(3)(4) = 6

So, the area of ∆STU is ...

  area STU = area XUTY -area XUS -area YTS = 27.5 -7 -6

  area STU = 14.5 . . . square units

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500