Answer:
39.275
Step-by-step explanation:
the diameter of the semicircle is 10
A semicircle is half a circle, and a quarter circle is 1/4 of a circle.
Perimeter of a semicircle is ¶d/2
= 3.142 x 10/2 = 3.142 x 5 = 15.71
For 2 semicircles that will be 15.71 x 2 = 31.42
For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855
Total perimeter = 31.42 + 7.855 = 39.275
If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams
The half life in years = 24100
Consider the quantity of the radio active isotope remaining
y = 
When t = 1000 the y = 1.2
y = C/2 when t = 1599
Substitute the values in the equation
C/2 = 
Cancel the C in both side
1/2 = 
Here we have to apply ln to eliminate the e terms
ln (1/2) = 24100k
k = ln(1/2) / 24100
k = -2.87× 10^-5
To find the initial value we have to substitute the value of k and y in the equation
1.2 = Ce^{1000 × -2.87× 10^-5}
C = 1.2 / e^(-0.0287)
C = 2.16 gram
Hence, the initial quantity of the radioactive isotope is 2.16 gram
Learn more about half life here
brainly.com/question/4318844
#SPJ4
In slope intercept form its, y=2x-2
Jordan and Baylor are going to have all together 780 cookies
<u>Solution:</u>
Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36 dozen sugar cookies.
We have to find how many cookies are they going to have all together?
Now,<em> total number of cookies = cookies made by Jordan + cookies made by Baylor </em>
Total number of cookies = 29 dozens + 36 dozens
Total number of cookies = 65 dozens
Total number of cookies = 65 x 12 per dozen
Total number of cookies = 780
Hence, they altogether have 780 cookies
We have the equations:
x + 3 = 15 and 3y - 1 = 2x - 4
x + 3 = 15 |-3
x = 12
Put the value of x to the second equation:
3y - 1 = 2(12) - 4
3y - 1 = 24 - 4
3y - 1 = 20 |+1
3y = 21 |:3
y = 7
<h3>Answer: x = 12 and y = 7.</h3>
