Your octagon has a central angle of 360 deg. Since you're speaking of an octagon, which implies that the octagon is made up of eight triangles, divide 360 deg by 8 to obtain the measure of each minor arc formed.
Answer:
Perimeter of triangle CDE = 56
Step-by-step explanation:
Here, we want to find the perimeter of CDE
mathematically, when the measure of the inner triangle is half of the respective sides of the bigger
What this mean is that for each side that one of the side of the inner triangle faces, the measure on the bigger triangle is twice
Thus, 9 represents a length of 2(9) = 18 on the bigger triangle
Also, 7 will represent a length of 2(7) = 14 on the bigger triangle
So, now we have the complete sides of the bigger triangle
The measure of the perimeter is simply the addition of the respective side lengths
We have the perimeter of the large triangle as;
24 + 18 + 14 = 56
Answer:
Step-by-step explanation:
Formula
Sn = (a + a + (n - 1)*d) * n / 2
Givens
Sn = 60
a = 3
Solution
You want integer values for d and n
60 = (2*a + (n - 1)*d) * n/2 Multiply both sides by 2
120 = (2*3 + (n - 1)*d ) * n
120 = (6 + n*d - d) * n
120 = 6n + n^2*d - d*n
This gives some really wild results. I will list all of them here. and then discuss them.
These are the ones that give results without any question and are correct.
n d tn
2 54 3 57
3 17 3 20 37
4 8 3 11 19 27
Here are some that are the gift of the equation
20 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Now the equation says the following 3 are correct, but are they? Can you have a negative n? The equation says yes, but I doubt your instructor will.
-5 5
-1 63
-2 22
You can bring these up if you are in a classroom. I wouldn't if you have to submit this to a computer which has absolutely no ability whatever to think about exceptions. Even the 20 0 is one I wouldn't use.
Answer:
twenty eight more weeks till$200