Divya and Miguel were asked to find an explicit formula for the sequence 80 , 40 , 20 , 10 , . . . 80,40,20,10,...80, comma, 40, comma, 20, comma, 10, comma, point, point, point. Divya said the formula is h ( n ) = 80 ⋅ ( 1 2 ) n − 1 h(n)=80⋅( 2 1 ) n−1 h, left parenthesis, n, right parenthesis, equals, 80, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript, and Miguel said the formula is h ( n ) = 160 ⋅ ( 1 2 ) n h(n)=160⋅( 2 1 ) n h, left parenthesis, n, right parenthesis, equals, 160, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

they are simplified

step-by-step explanation: