7. A mailer for posters is a triangular prism as shown. Find the surface area of the mailer. (Example 3) 4.7 in. 18 in. 4.7 in. M. lohn Sininh 1234 Anysvert Anytown, 4 in. 5 in.​

279.2 squared inches

Step-by-step explanation:

first find the base of the triangular prism which is  18*5=90.

then multiply 18*4.7 to get 84.6 then multiply that by 2 to get 169.2

then find the area of the triangles which is 4*5= 20 then add it all up which is equal to 279.2 ( 90 + 20) + 169.2= 279.2

Hope this was helpful :)

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}