1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavel [41]
3 years ago
9

A side of an equilateral triangle is 10 cm. The midpoints of its sides are joined to form an inscribed equilateral triangle, and

this process is continued. Find the sum of the areas of the triangles of the process is continued without end.
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
Equilateral triangle is a triangle in which all its sides are equal.

Given:
side = 10 cm

Area of an equilateral triangle = √3/4  a²

1st: a = 10 ; A = 43.3 cm²
2nd: a = 5 ; A = 10.83 cm²
3rd: a = 2.5 ; A = 2.71 cm²
4th: a = 1.25 ; A = 0.68 cm²
5th: a = 0.625 ; A = 0.17 cm²
6th: a = 0.3125; A = 0.042 cm²
7th: a = 0.15625; A = 0.011.cm²

Summation: a1/1 -r ; a1 = 43.30 ; r = 0.25

43.30 / 1 - 0.25 = 43.30/0.75 = 57.73 cm²

The sum of the areas of the triangles if the process is continued without end is 57.73 cm²

You might be interested in
rollercoaster can accommodate 1600 passengers per hour. If you are number 346 in line, how many minutes do you have to wait?
Effectus [21]

Answer:

13.31 minutes  

Step-by-step explanation:

800 in 30min

400 in 15 min

26 passengers in an min

346/26

13.31 minutes  

8 0
3 years ago
Suppose that you can save $50 by buying your car in a different city. if the trip requires only $10 in gasoline, is the trip wor
netineya [11]
Yes the trip is worthwhile. If you save $50, but it takes you $10 in gas o get theready & $10 in gas to get back you still have $30 saved.
3 0
3 years ago
Read 2 more answers
Please help me with this question
Anon25 [30]
I'm not 100% but I think its going to be a positive answer choice. 

So i would say 1/2




4 0
3 years ago
The phrase the difference between a number and four can be written as which variable expression
Gekata [30.6K]
Try -×=4??? i just started to learn how to do variable expressions correctly bc i just transfered to an high accelerating school, but if I'm wrong w the answer im very sorry, as i am just now learning.
5 0
3 years ago
Please help me both a/b!
kozerog [31]
I just wrote it out so hope this helps :)
5 0
3 years ago
Other questions:
  • The function c=2.50(n-2)+1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
    8·1 answer
  • What is the answer (3x - 2)=
    13·1 answer
  • Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = x/
    8·1 answer
  • Jai Narayan sells two radio sets for 2288 each.
    7·1 answer
  • Dave ran 3.52 miles in the same time
    11·1 answer
  • 10 to the power of 2 - 4 to the power of 3
    5·2 answers
  • If you are an expert in your field, the purpose of your presentation will remain the same for all types of presentations.
    12·2 answers
  • Jackie Robinson was a prominent athlete who made the headlines as one of the first and most commonly known black player in the M
    6·2 answers
  • matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel ho
    8·1 answer
  • Find the slope of the line that passes through the following points: (-4,-2) and (-3,5)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!