The diagram shows the layout of the township playground. The playground committee is ordering rubber mulch to cover the playground surface. A playground is made up of a rectangle and a triangle. The rectangle has a base of 40 feet and height of 25 feet. The triangle has a base of 22 feet and height of 20 feet. Which shows how to calculate the area of the playground? A = 40 times 25 + one-half (18) (20) A = 40 times 25 + one-half (22) (20) A = 20 times 25 + one-half (25) (20) A = 20 times 18 + one-half (40) (25)

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

answer:

step-by-step explanation:

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 ☺