Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is
... s + (s+1) + (s+1) = 3s+2
The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so
... 3s+2 = 4s-8
... 10 = s . . . . . . . . add 8-3s to both sides
The length of the shorter side of the triange is 10 units.
C=2πr
C=πd
A=πr^2
r=C/2π
r=1/2 d
<u>By the way all you do to solve r is: </u>
C=2πr
C/2π=2πr/2π
C/2π=r
r=C/2π
Hope this helps:)
It depends. For example the GCF of 4 &2 is 4, so in a sense yes. With other numbers (such as odds) that is not always the case :D
Answer:
147
Step-by-step explanation:
The ∑ symbol means sum the term inside 4n + 1 from n = 2 to n = 8
Substitute n = 2, 3, 4, 5, 6, 7, 8 into the expression and sum the results , that is
4(2) + 1 + 4(3) + 1 + 4(4) + 1 + 4(5) + 1 + 4(6) + 1 + 4(7) + 1 + 4(8) + 1
= 9 + 13 + 17 + 21 + 25 + 29 + 33
= 147
