Answer:
65 units
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
Answer:
I don't understand your question
Answer:
y=1
Step-by-step explanation:
y = 11x + 1
11x + 12y = 12
Take the right side of the first equation, which is 11x + 1,
since y equals it, put it in parentheses like this (11x + 1)
and put it in place of y in the second equation.
The second equation is
11x + 12y = 12
Take out the y and put in (11x + 1) in place of the y:
11x + 12(11x + 1) = 12
Remove the parentheses by using the distributive principle:
11x + 132x + 12 = 12
Combine like terms on the left
143x + 12 = 12
Subtract 12 from both sides
143x = 0
Divide both sides by 143
x = 0
Now go back and get the very first equation:
y = 11x + 1
And substitute (0) for x:
y = 11(0) + 1
y = 0 + 1
y = 1
Answer:
see below
Step-by-step explanation:
The equation for half life is
n = no e ^ (-kt)
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 e^ (-k 100)
Divide each side by 9.8
1/2 = e ^ -100k
Take the natural log of each side
ln(1/2) = ln(e^(-100k))
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/100 t)
Approximating ln(.5)/100 =-.006931472
n = 9.8 e^(-.006931472 t) when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 e^ (-k 36500)
Take the natural log of each side
ln(1/2) = ln(e^(-36500k))
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/36500 d)
Approximating ln(.5)/365=-.00001899
n = 9.8 e^(-.00001899 d) when d is in days
Answer:
14/25, 6/25, 1/5, 3/5
Step-by-step explanation:
