You start driving north for 55 miles, turn right ,and drive east for another 48 miles. how many miles must you travel to return directly back to your starting point?

73 miles

Step-by-step explanation:

You drove for two straight lines that are perpendicular to each other. Now you want to go straight back, like the hypotenuse of a right-angle triangle.

Use the Pythagorean theorem.

It's in the format side² + side² = hypotenuse².

We know the two sides at 55 miles and 48 miles.

Substitute what we know:

a² + b² = c²

55² + 48² = c²    Simplify

5329 = c²    Isolate c by finding the square root of both sides

c = √5329

c = 73       Final answer

Remember the unit is miles.

You need to travel 73 miles to return back to your starting point.

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 ☺

there would be 162.15 calories in this cereal.

step-by-step explanation: