The circumference of a circle is 12pi. What is the diameter?

12

Step-by-step explanation:

The circumference of a circle is given as

Circumference = 2πr

Where; r is the radius of the circle

The diameter of a circle is 2 times the radius of that circle. It cuts the circle into 2 equal halves

Given, circumference of the circle = 12π

12π = 2πr

make r the subject by dividing both sides by 2π

12π/2π = 2πr/2π

r = 6

Diameter = 2r

= 2 X 6 = 12

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft