At a campground a rectangular fire pit is 4 feet by 3 feet what is the area of the largest Circular fire that can be made in this fire pit use 3.14 for pi round to the nearest square inch

The area of the largest circular fire pit will be 19.625 sq ft.

Step-by-step explanation:

Given,

The length of the rectangular pit (L) = 4 ft

The width of the rectangular pit (B) = 3 ft

To find the area of the largest circle we need to find the diagonal of the rectangle first.

The diagonal will be the diameter of the circle.

Formula

By Pythagoras theorem,

The area of a circle of radius r is = π sq ft

Now the diagonal of the rectangle = ft

= ft

=5 ft

The diameter of the circle is 5 ft

So, the radius = 2.5 ft

The area of the circle = 3.14 × sq ft

= 19.625 sq ft

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3