The answer is 336.............
Answer:
33 sq. units
Step-by-step explanation:
The area of a sector can be calculated using the formula;
![A = \frac{ 1}{2} {r}^{2} \theta](https://tex.z-dn.net/?f=A%20%3D%20%20%5Cfrac%7B%201%7D%7B2%7D%20%20%7Br%7D%5E%7B2%7D%20%20%5Ctheta)
From the given information, the area of the circle is 36 and the angle of sector is
This means
![\pi {r}^{2} = 36 \\ {r}^{2} = \frac{36}{\pi}](https://tex.z-dn.net/?f=%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%3D%2036%20%5C%5C%20%20%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B36%7D%7B%5Cpi%7D%20)
We substitute the values into the formula to get:
![A = \frac{ 1}{2} \times \frac{36}{\pi} \times \frac{11}{6} \pi](https://tex.z-dn.net/?f=A%20%3D%20%20%5Cfrac%7B%201%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B36%7D%7B%5Cpi%7D%20%20%5Ctimes%20%20%5Cfrac%7B11%7D%7B6%7D%20%5Cpi%20)
We cancel out common factors to get:
![A =33](https://tex.z-dn.net/?f=A%20%3D33)
The area of sector is 33 square units
Answer:
1432 years
Step-by-step explanation:
A(t) = I(0.5)^t/t1/2
Where t1/2 = half life = 1660
Final amount, A(t) = 0.55 of its original amount =. 0.55I
Hence, we have
0.55I = I(0.5)^t/1660
Take the log of both sides
Log(0.55) = log(0.5)^t/1660
t/1660 = log(0.55) / log(0.5)
t/1660 = 0.8624964
t = 0.8624964 * 1660
t = 1431.7441
t = 1432(nearest whole number)
Answer:
$0.38
Step-by-step explanation:
Since there are two cups in a pint so you divide 0.76 by 2