While on a beach vacation, Tasha made a scale drawing of points of interest between 2 piers. On her drawing, 2 cm represents 0.5 mi. The piers are 12 cm apart on Tasha's drawing. What is the actual distance? HELP!
Include formula to solve problems like this!!

The distance between the two piers is 3 miles.

Step-by-step explanation:

If in Tasha's drawing 2cm represents 0.5 miles between the two piers, and the distance between the two piers in Tasha's drawing is 12cm.

The answer is found by the rule of three:

2 cm : 0.5 miles

12 cm : X

X = (12 * 0.5) / 2

X = 3 miles.

The distance between the two piers is actually 3 miles.

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}

0,0

step-by-step explanation: