Q2. A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?

The players run 150m

Step-by-step explanation:

If we think of the diagonal that goes from one corner to the other in a rectangle, this could be divided into 2 right triangles

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 90m

b = leg 2 = 120m

h² = a² + b²

we replace the known values

h² = (90m)² + (120m)²

h² = 8100m² + 14400m²

h² = 22500m²

h = √(22500m²)

h = 150m

The players run 150m

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500