Acute scalene because they are all smaller than 90 degrees but different lengths
Answer: The answer is 35 degrees
Answer: There are approximately 853827 new cases in 6 years.
Step-by-step explanation:
Since we have given that
Initial population = 570000
Rate at which population decreases is given by
![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Now,
First year =570000
Second year is given by
![570000\times (\frac{1}{3})](https://tex.z-dn.net/?f=570000%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%29)
Third year is given by
![570000(\frac{1}{3})^2](https://tex.z-dn.net/?f=570000%28%5Cfrac%7B1%7D%7B3%7D%29%5E2)
so, there is common ratio ,
it becomes geometric progression, as there is exponential decline.
so,
![570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6](https://tex.z-dn.net/?f=570000%2C570000%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%2C570000%5Ctimes%28%20%5Cfrac%7B1%7D%7B3%7D%29%5E2%2C......%2C570000%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E6)
a=570000
common ratio is given by
![r=\frac{a_2}{a_1}=\frac{1}{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cfrac%7B1%7D%7B3%7D)
number of terms = 6
Sum of terms will be given by
![S_n=\frac{a(1-r^n)}{(1-r)}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%281-r%5En%29%7D%7B%281-r%29%7D)
We'll put this value in this formula,
![S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16](https://tex.z-dn.net/?f=S_6%3D%5Cfrac%7B570000%281-%28%5Cfrac%7B1%7D%7B3%7D%29%5E6%7D%7B%281-%5Cfrac%7B1%7D%7B3%7D%29%7D%5C%5C%5C%5C%3D853827.16)
So, there are approximately 853827 new cases in 6 years.
Answer:
26.6667 minutes or 0.444 hours per activity.
Step-by-step explanation:
If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9
In minutes:
4 x 60 = 240 minutes
240/9
26.6667 minutes per activity.
In Hours:
4/9
0.444 hours per activity.
Answer:
Use Heron's formula; see below.
Step-by-step explanation:
Use Heron's formula.
Let the sides of the triangle have lengths a, b, and c.
![s = \dfrac{a + b + c}{2}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Cdfrac%7Ba%20%2B%20b%20%2B%20c%7D%7B2%7D%20)
![area = \sqrt{s(s - a)(s - b)(s - c)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7Bs%28s%20-%20a%29%28s%20-%20b%29%28s%20-%20c%29%7D%20)
Example:
A triangle has side lengths 3, 4, and 5 units.
Find the area of the triangle.
![s = \dfrac{a + b + c}{2}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Cdfrac%7Ba%20%2B%20b%20%2B%20c%7D%7B2%7D%20)
![s = \dfrac{3 + 4 + 5}{2}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Cdfrac%7B3%20%2B%204%20%2B%205%7D%7B2%7D%20)
![s = 6](https://tex.z-dn.net/?f=%20s%20%3D%206%20)
![area = \sqrt{s(s - a)(s - b)(s - c)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7Bs%28s%20-%20a%29%28s%20-%20b%29%28s%20-%20c%29%7D%20)
![area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7B6%286%20-%203%29%286%20-%204%29%286%20-%205%29%7D%20)
![area = \sqrt{6(3)(2)(1)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7B6%283%29%282%29%281%29%7D%20)
![area = \sqrt{36}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7B36%7D%20)
![area = 6](https://tex.z-dn.net/?f=%20area%20%3D%206%20)