Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
<u />
<u>Geometric sequence</u>
General form of a geometric sequence: 
(where a is the first term and r is the common ratio)
Given:

Therefore:
<u>Sum of the first n terms of a geometric series</u>:

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:


Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
Answer:
x > -3
Step-by-step explanation:
-3x + 6 < 15
-3x < 15 - 6
-3x < 9
-x < 3
x > -3
Answer:
300 mm squared
Step-by-step explanation:
Alright, lets get started.
We have given a circle which has 56 cm radius.
We are asked to find its circumference.
The formula for circumference of circle = 2 pi r
Putting the value of pi and r
So the circumference = 2 * 2.142 * 56
Simplifing
Hence the circumference of circle = 351.9 cms
Answer is 351.9 cm
Hope it will help :)