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vivado [14]
3 years ago
6

Find the area of the figure. round your answer to the nearest hundredth

Mathematics
2 answers:
sashaice [31]3 years ago
8 0

Answer: 84.13

lmk if this is wrong

Step-by-step explanation:

Area of the rectangle:

5(14)=70

Area of the half circle:

Formula: πr^2

Substitute: 3.14(3)^2

Solve: 3.14(9)

3.14(9)=28.26

Divide the area by 2 since it's a half circle

28.26/2=14.13

Add the area of the rectangle and half circle

70+14.13=84.13

liraira [26]3 years ago
6 0

Answer: 84.14

Step-by-step explanation:

Area of the rectangle is L*W=B*H

14*5=70

To find the area of the half circle we must use the formula pi r^2/2

r=radius

and the radius is 6 because we add 4 and 4 and need to get to 14

because the line below it is 14 and it is a rectangle so the lengths are the same.

Diameter=6

So radius =3

pi (3)^2/2=

9/2 pi + 70=

84.14

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Step-by-step explanation:

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he​ half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of
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Answer:

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And replacing the value t =5.5 hours we got:

% Remaining= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

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:

A(t) = A_o (1/2)^{\frac{t}{h}}

Where A(t) represent the amount after t hours.

A_o represent the initial amount

t the number of hours

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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:

A(5.5) = A_o (1/2)^{\frac{5.5}{2.6}}

Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:

% Remaining = \frac{|A_o - A_o(1/2)^{\frac{5.5}{2.6}}|}{A_o} x100

We can take common factor A_o and we got:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining = [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

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