Lucy's spaceship is low on fuel. Lucy is 1{,}2001,2001, comma, 200 light years (\text{l. Y.}l. Y.Start text, l, point, y, point, end text) from the star system KA-7, as shown. She is 1{,}700\,\text{l. Y.}1,700l. Y.1, comma, 700, start text, l, point, y, point, end text from the system KA-11. Lucy sees an angle of 52\degree52°52, degree between KA-7 and KA-11. To decide whether to visit KA-11, Lucy needs to know the distance between the systems. How far apart are KA-7 and KA-11? Do not round during your calculations. Round your final answer to the nearest hundred light years.

1300

Step-by-step explanation

khan academy bae

1300

Step-by-step explanation:

Khan academy

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

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