Laura's yard is in the shape of a square and a half-circle.
17 m
imate area of laura's yard?
what is the approw
316 m
402 m
516 m
743 m

Option 2 - 402 m sq.

Step-by-step explanation:

Given : Laura's yard is in the shape of a square and a half-circle.

To find : What is the approximate area of Laura's yard?

Solution :

The side of the square is 17 m

The area of the square is

The half circle form upon a square side.

So, The diameter of the half circle is equal to the side of the square.

d=17 m

Radius of the half circle is

The area of the half circle is

Substitute the value in the formula,

Total area of the Laura's yard is

Approximately the area of the Laura's yard is 402 m sq.

Therefore, Option 2 is correct.

50 min

step-by-step explanation:

they will be decreasing both their times in half

60 / 2 = 30

40/2 = 20

30 + 20 = 50

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1