A circular tabletop has an approximate circumference of 47.1 inches. What is its approximate area rounded to the nearest hundredth?

In which of the following circles are the approximate values of the area and circumference the same?

a circle with a diameter of 2 feet
a circle with a radius of 4 feet
a circle with a radius of 2 feet
a circle with a diameter of 1 foot

Find the approximate area of a circle that has a diameter of 17 inches. Round your answer to the nearest hundredth.

26.69 in^2
106.76 in^2
226.87 in^2
53.38 in^2

A clock has a face with a radius of 11.5 centimeters. What is the area of the clock face rounded to the nearest hundredth?

72.22 cm^2
36.11 cm^2
103.82 cm^2
415.27 cm^2

Find the approximate area of a circle whose circumference is about 62.8 centimeters.
314 cm^2
628 cm^2
3096 cm^2
1256 cm^2

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!