A quadrant is cut from a rectangle the side of the rectangle is 50 inches and 25.9 inches what is the length of the arc of the quadrant use 3.14 as an approximation for π for

The length of the arc of the quadrant is 40.663 inches

Step-by-step explanation:

The given parameters for the quadrant are;

The dimensions of the rectangle from which the quadrant is cut = 50 inches by 25.9 inches

Therefore, the length of the radius of the quadrant = The shortest side of the rectangle, r = 25.9 inches

Therefore, we have;

The length of the arc of the quadrant = 1/4 × 2 × π × r

Where;

π = 3.14

∴ The length of the arc of the quadrant = 1/4 × 2 × 3.14 × 25.9 = 40.663

The length of the arc of the quadrant = 40.663 inches.

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

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.