Find the area of a circle with a circumference of 31.4 units

the area of the circle is pi*(5 units)^2 = 25*pi units^2

Step-by-step explanation:

The formula for the circumference of a circle is C = 2*pi*r, where r is the radius.  Then the formula for the radius, r, is     r = C/(2*pi).

Here the circumference is C = 31.4 units, so the radius is

                                                                                      31.4 units

                                                                               r =

                                                                                        6.28

or r = 5 units.

The area of the same circle is A = pi*r^2.

Here, with r = 5 units, the area of the circle is pi*(5 units)^2 = 25*pi units^2.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2