A piece of land is in the shape of a sector. Its area is 900 sq ft, while its arc length is 30 ft. What is the measure of the angle between the two radii of the sector?

C= 2 radians.

Step-by-step explanation

Length of arc = r C where r = the radius and C is the angle in radians.

Area of the sector = 1/2 r^2 C

So we have:

30 = rC  and

900 = 1/2 r^2 C

From the first equation we have  r = 30/C so substituting for r:

900 = 1/2 (30/C)^2 * C

900 = 0.50 (900/C^2) * C

900 =  450/C

C= 2 radians.

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

~

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,