Find the perimeter of the triangle defined by the coordinates (9,0) , (-5,0) and (-10,6)

PERIMETER = 41.73 units

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the  steps below:

Let the coordinate of the triangle be ABC, that is

A(9,0)    B(-5,0)   and   C(-10,6)

We will first find distance AB, BC  and CA using the distance formula

|D| = √(x₂-x₁)² +(y₂-y₁)²

A(9,0)    B(-5,0)

x₁ =9  y₁=0    x₂=-5    y₂=0

substitute the values into the formula

|AB| = √(-5-9)² +(0-0)²

       = √(-14)² +(0)²

       =√196

        =14

|AB| = 14 units

B(-5,0)      C(-10,6)

x₁ =-5  y₁=0    x₂=-10    y₂=6

substitute the values into the formula

|BC| = √(-10+ 5)² +(6-0)²

         =√(-5)² +(6)²

         =√25 + 36

         =√61

         ≈7.81

|BC| ≈7.81 units

C(-10,6)     A(9,0)

x₁ =-10  y₁=6   x₂=9  y₂=0

substitute the values into the formula

|CA| = √(9+10)² +(0-6)²

         = √(19)² +(-6)²

         =√361 +36

        =√397

        ≈19.92 units

|CA|≈19.92 units

Perimeter of triangle = |AB|+|BC|+|CA|

                                  =14+7.81+19.92

                                  =41.73

PERIMETER = 41.73 units

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.