If you are good at trig please help mee and show all working out thank you in advance ;)

The section of railway tack shown is a circular arc that has a chord length of 500m and subtends an angle of 40 degrees at the centre of the circle. Find the radius ( r ) of the circular arc and the length ( s ) of that arc.
oh and the exercise is about the cosine rule

r = 777.8469     s = 543.0396 m

Step-by-step explanation:

First, use sin 40 set equal to 500/r to find the radius

sin 40 degrees = 500/r        Take the sin of 40 degrees

0.6428 = 500/r                     Divide both sides by 0.6428

r = 777.8469

Now find the arc length by using the following equation s = rФ or arc length = radius times theta, the given angle.

s = rФ       Substitute 777.8469 for the radius and 40 degrees in radians for theta

s = 777.8469()        Multiply

s = 543.0396 m

If these answers are correct, please make me Brainliest!

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.