On a little league baseball diamond, 1st base,2nd base,3rd base, and home plate form a square. the ball is thrown from home to 2nd base and then from 2nd base to 1st base. How many feet has the ball been thrown?

75√2
160√2
240√2
80+80√2

80+80√2

Step-by-step explanation:

Between home, 1st base and 2nd base a right triangle is made, where the distance between home and 2nd base is the hypotenuse (h). Then, from Pythagorean theorem:

h² = 80² + 80²

h = √(2*80²)

h = √2*√(80²)

h = 80√2

Distance from 2nd base to 1st base: 80 m

So, the ball has been thrown 80 + 80√2 ft

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this