Select the correct answer from each drop-down menu. The
In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is
area of the sector formed by the arc is
Assume T = 3.14, and round your answers to the nearest hundredth.
square feet.

100 POINTS

Step-by-step explanation:

Circumference of circle = π2r = 14πft.

Angle subtended by arc

= 2π * (Arc length/Circumference)

= 2π * (4ft/14πft) = 0.18π. (2d.p.)

Area of sector = 0.5r²(Angle subtended by arc)

= 0.5 * (7)² * (0.18π)

= 14.00ft². (2d.p.)

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240