There's a fixed difference of 6 between terms (9 - 3 = 6, 15 - 9 = 6, and so on). The first term of the sequence is 3, so the
-th term is

If there are 24 terms in the sum, then the last term is 6×23 - 3 = 135.
Let
be the sum,

Reverse the order of terms:

If we add up the terms in the same positions, we get twice
on the left side, while on the right side we observe that each pair of terms will sum to 138.


and since there are 24 terms in the sum, the right side is the sum of 24 copies of 138. In other words,

and solving for
gives

Answer: the circumference of a well is determined by radius or the diameter
Step-by-step explanation:
The formula is 2πr
Answer:
Step-by-step explanation:
Remark
- x is opposite the 90 degree angle. It is the hypotenuse.
- 13 makes up the 57 degree angle. It is the side adjacent.
- The adjacent side and the hypotenuse define the cos(theta).
Formula
cos(theta) = adjacent side / hypotenuse
Givens
Theta = 57 degrees
Hypotenuse = x
Side adjacent = 13
Solution
- Cos(57) = 13 / x Multiply both sides by x
- x*cos(57) = 13 Divide by cos(theta)
- x = 13/cos(57)
- x = 13 / cos(57)
- cos(57) = 0.5446
- x = 13/ 0.5446
- x = 23.87
X+1+X+1+X+X=50
4x+2=50
4x=48
X=12
Width is 12
Length is 13
Step-by-step explanation:
The approximate tip is - 12.30$
Because bill is 81.79$
and tip - 15%
therefore bill amount divided by 15/100
==> 81.79* 15% is 12.30$