A soccer player stands in the southeast corner of a 76-meter by 57-meter field and kicks a soccer ball all the way to a player in the opposite corner. That player kicks the ball down the length of the field to a player in the southwest corner. Finally, the player in the southwest
corner returns the ball back to the original player. How far has the ball traveled?

228m

Step-by-step explanation:

Let's draw a rectangle ABCD, A being its bottom left point, B bottom right, C top right and D top left.

That is our soccer field. The player stands in the southeast corner, which is top right corner or, in our case point B. He passes the ball to the player in the opposite corner, which is corner D. He then passes the ball to the player in the southwest corner, which is corner A. And he finally passes it back to the player in the corner B.

So, the ball goes from B to D to A to B. That means that the ball went along the circumference of the triangle DAB.

So, to answer how long the ball travelled we need to find the circumference of the triangle. The circumference is the sum of its three sides. One side is the field's length (76m) and the othet is field's width (57m). We only need to find the triangle's hypotenuse, side BD, using Pythagoras theorem:

BD² = AB² + AD²

BD² = 76² + 57²

BD = 95

So, the circumference of the triangle is 76+57+95=228m

y + 11 = (1/4)(x + 16)

step-by-step explanation:

answer:

some responsibilities that come with having a checking account -

1. we have to maintain check register with exactness to avoid checks being returned for insufficient funds which is called bouncing a check.

2. we need to update our check register each time we make a transaction using a convenience card. updating check register will   save   us from   overdrawing of checking account.

3. read the agreement the bank gave you when you signed up for our checking account. this includes all the fees and the minimum balance we need to keep in our account to avoid maintenance charges.  

explanation:

note : -   checking account is a transactional deposit account. we can use it to deposit and withdraw funds. money in a checking account is very liquid. it   can be withdrawn using electronic debits, automated cash machines, or checks among other methods.