seunou915
seunou915 seunou915
  • 04-07-2022
  • Mathematics
contestada

Sonam says that the 20th figure in this pattern has 400 small triangles. do you agree? explain your thinking. ​

Sonam says that the 20th figure in this pattern has 400 small triangles do you agree explain your thinking class=

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 04-07-2022

Answer:

No. There should be 210 small triangles

Step-by-step explanation:

The number of small triangles in these figures forms a sequence

Fig         No Small Triangles
1             1
2            3  (1+2)
3            6  (1+2+3)

So the nth figure should have 1+2+3+.....+(n-1)+ n

1+2+3+.....+(n-1)+ n = [tex]\frac{n (n-1)}{2}[/tex]
So for 20th figure, n = 20 and number of small triangles = 20 x 21 /2 = 420/2 = 210

Answer Link

Otras preguntas

A 1,500 kg car’s speed changes from 30 m/s to 15 m/s after the brakes are applied. Calculate the work done onto the car from the brakes.
What motivates you to become a leader ?​
Ned fills 2/3 of a bucket in 15 of a minute. How much time will it take him to fill the bucket?
FIGURE OF SPEECH The kangaroo kicked the kid is it a ALLITERATION b METAPHOR c ONOMATOPOEIA
Danielle earns an 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $675 per week. How much did
$332.8 30percent off
1 2/5m-3/5(2/3m+1) pls help me I need to simply it
what is a expression representing the product of 17 and c
People who drink coffee are more likely to develop cancer
!!!!! PLEASE HELP!!!!!!!!!! In what way does “A Modest Proposal” for the definition of satire? A. It argues for a solution to poverty in Ireland that only the p