5pi/9 C:
100/180 * pi = 5/9 * pi
You gained $1000 dollars from over pricing an item. Therefore you made profit which the sum was $1000.
Answer:
![f(n)=4(3)^{n-1}](https://tex.z-dn.net/?f=f%28n%29%3D4%283%29%5E%7Bn-1%7D)
Step-by-step explanation:
Let the first term be
, then the terms of the sequence are:
.
Since the fourth term is 108, we have
![27x=108](https://tex.z-dn.net/?f=27x%3D108)
![\implies x=4](https://tex.z-dn.net/?f=%5Cimplies%20x%3D4)
Hence the sequence becomes:
.
The explicit expression for a geometric expression is given by:
![f(n)=ar^{n-1}](https://tex.z-dn.net/?f=f%28n%29%3Dar%5E%7Bn-1%7D)
where a=4 and r=3
The required formula is:
![f(n)=4(3)^{n-1}](https://tex.z-dn.net/?f=f%28n%29%3D4%283%29%5E%7Bn-1%7D)
Answer:
The circle on the far left is the sum of 4x + 3y and 2x - y so the answer is 4x + 3y + 2x - y = 6x + 2y. The circle on the far left is the sum of x + 4y and something. To find that "something" we can do 4x + 5y - (x + 4y) = 3x + y which is the value of the bottom right rectangle. This means that the value of the bottom circle is 2x - y + 3x + y = 5x.
Answer: 8
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:
![a^2=b^2+c^2](https://tex.z-dn.net/?f=a%5E2%3Db%5E2%2Bc%5E2)
Where <em>a</em> is the hypotenuse and <em>b</em> and <em>c</em> are the legs.
The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from
, as following:
![17^2=15^2+c^2\\c=\sqrt{17^2-15^2}\\c=8](https://tex.z-dn.net/?f=17%5E2%3D15%5E2%2Bc%5E2%5C%5Cc%3D%5Csqrt%7B17%5E2-15%5E2%7D%5C%5Cc%3D8)
Therefore, the lenght of the missing side is: 8