Answer:
% Remaining![= [1-(1/2)^{\frac{t}{2.6}}]x100](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7Bt%7D%7B2.6%7D%7D%5Dx100%20)
And replacing the value t =5.5 hours we got:
% Remaining![= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
Step-by-step explanation:
Previous concepts
The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".
Solution to the problem
The half life model is given by the following expression:
Where A(t) represent the amount after t hours.
represent the initial amount
t the number of hours
h=2.6 hours the half life
And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:
Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:
% Remaining = 
We can take common factor and we got:
% Remaining
And replacing the value t =5.5 hours we got:
% Remaining ![= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%](https://tex.z-dn.net/?f=%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
Answer:
36.72
Step-by-step explanation:
if I'm wrong could you please tell me? good luck and if you have any other question you can ask me bye.
Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.
(The side adjacent to angle C ) divided by (hypotenuse)
is the cosine of angle C .
(adjacent) / (10 inches) = cos(40 degrees)
Multiply each side by (10 inches):
Adjacent side = (10 inches) x cos(40) =
(10 inches) x 0.766 =
7.66 inches (rounded)
For the problem on the left, the best way to solve is by splitting the shape into two. The smaller square at the top, and the larger rectangle at the bottom. To find the area of the top of the square you multiply base times height. In this case, you do 36*36, to get 1296. For the larger rectangle, you also do base times height, and calculate 60*36, to get 2160. The final step is to add 2160 to 1296. After adding, you should get the sum of 3456. Add the unit, and since we’re finding area, add squares. The answer is 3456 yards squared.
For the second problem, we can notice that the shape is a trapezoid. The way we find the area of a trapezoid is by taking the average of the bottom length and the top length, and multiply it by the height. The first step is to do 16+8 to get 24. Next, you need to divide 24 by 2 since you’re finding the average of the two numbers. Finally, to finish multiply the height by 12. In this case you do 16*12, to get 192 feet squared.
Answer to A: 3456 Yards Squared
Answer to B: 192 Feet Squared
