<u>Given</u>:
The satang coin from Thailand has a radius of about 7 mm.
We need to determine the diameter and circumference of the coin.
<u>Diameter of the coin:</u>
The diameter of the coin can be determined by multiply the radius by 2.
Thus, we have;

Substituting r = 7, we get;


Thus, the diameter of the coin is 14 mm.
<u>Circumference of the coin:</u>
The circumference of the coin can be determined using the formula,

Substituting
and
, we get;


Thus, the approximate value of the circumference of the coin is 43.96 mm
Here,
(x+2)^1/2=3
raising power 2 on both sides,
x+2=9
therefore,
x=7
6000x = 135000; x ≈ 23.
We are required to have one fire extinguisher for every 6000 ft of space in the building; this means we need to find out how many 6000-ft spaces we have in 135000.
Solving this equation, we divide both sides by 6000:
6000x/6000 = 135000/6000 = 22.5 ≈ 23
4k-36 = 9k-44
add 36 to both sides:
4k =9k-8
subtract 9k from each side
-5k=-8
k = -8 / -5 = 8/5