Answer:
Step-by-step explanation:
The side ratios of a 30°-60°-90° right triangle are ...
1 : √3 : 2 . . . . . . shortest to longest
In your triangle, they are ...
y : x : 2√5
Then y = (2√5)/2 = √5, half the longest side.
And x = y√3 = (√5)(√3) = √(5·3) = √15, sqrt(3) times the shortest side.
In summary, x = √15 and y = √5.
First divide bot sides of the formula by 1/2(3.14):-
2A / 3.14 = r^2
r = sqrt (2A/3.14)
You want to know how long it'll take for the bacteria to grow
to (800/500) = 1.6 times their initial population.
The number of double-times it'll take is
[ log(1.6) / (log(2) ] = 0.6781 .
The double-time for these particular critters is 12 hours,
so it'll take them
0.6781 x 12 hours = 8.137 hours
= 8 hours 8.2 minutes .
The external tangent is line s