Scarlett is trying to find the height of a dam. she stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.
scarlett's height is 1.65 meters, so the height of the dam is ?
meters.

45.55 m to the nearest hundredth.

Step-by-step explanation:

tan 26 = opposite / adjacent side = h / 90   where h = height of the dam - Scarlett's height.

The height of the dam =

y = 90 tan 26

= 43.895 m

Now we need to add Scarlett's height  

= 45.55 m.

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}

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test