A community is building a square park with sides that measure 150 meters. To separate the picnic area from the play area, the park is split by a diagonal line from opposite corners. Determine the
approximate length of the diagonal line that splits the square. If necessary, round your answer to
the nearest meter.

212 meters

Step-by-step explanation:

The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)

2 * 22500 = 45000

The square root of 45000 is about 212.13, which would round down to 212 meters.

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true