When you cut along the diagonal, a right triangle is formed where the hypotenuse is the diagonal and the legs are the length and width of the rectangle (10 and 15 in this case)
Now use the pythagorean theorem to solve
10^2+15^2=325=c^2
c= approx 18.02775=length of the diagonal
Answer:
B. 45 degrees
Step-by-step explanation:
We know that the square at the bottom corner means it's 90 degrees. Since there are 180 degrees in a triangle, we could do 180 - 90. Assuming it's perfectly symmetrical, we would divide 90 ÷ 2. This means that the angle measures 45 degrees.
Answer:
The 18th term of the geometric sequence is ![a_{18}=129140163](https://tex.z-dn.net/?f=a_%7B18%7D%3D129140163)
Step-by-step explanation:
![a_n=a_1(r)^{n-1}\\\\a_{18}=1(3)^{18-1}\\\\a_{18}=3^{17}\\\\a_{18}=129140163](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D%5C%5C%5C%5Ca_%7B18%7D%3D1%283%29%5E%7B18-1%7D%5C%5C%5C%5Ca_%7B18%7D%3D3%5E%7B17%7D%5C%5C%5C%5Ca_%7B18%7D%3D129140163)