Agear on a bicycle has the shape of a circle. one gear has a diameter of 4 inches, and a smaller one has a diameter of 2 inches. justin says that the
circumference of the larger gear is 2 inches more than the circumference of the smaller gear. do you agree? explain your answer

yes

step-by-step explanation:

given :

larger gear has a diameter of 4 inches

smaller one has a diameter of 2 inches

to find : circumference of the larger gear is 2 inches more than the circumference of the smaller gear. do you agree?

solution :

diameter of larger gear is 4 inches

so, radius =

so, radius of larger gear =  

thus radius of larger gear is 2 inches

now, diameter of smaller gear is 2 inches

so, radius of smaller gear =  

thus radius of smaller gear is 1 inch

now formula of circumference of circle :

so,   circumference of larger gear =  

                                                        =  

circumference of smaller gear =  

                                                    =

hence   the circumference of larger gear is more than the circumference of the smaller gear.

answer are

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 ☺