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

LCD 8/9x+2/3x=1/9x45
What is the slope of the following line? Be sure to scroll down first to see all answer options. (-2, 11) (2, -3)
PLEASE ANSWER ASAP!!!Divide. Equation and answer choices in pictureany unrelated answer will be reported​
Select the correct text in the table. Use the fundamental theorem of algebra to determine whether each statement is sometimes true, always true, or never true.
The base of a regular pyramid is a hexagon.
Forgot how to do this please help, thank you. 3m + 2x=-3, solve for x
PLEASE ANSWER ASAP!!!Answer options given in pictureMichael can skateboard 100 feet in 5.4 seconds. Which choice below shows how fast Micheal is going miles per
what is a implied Main idea
hi :) how to do the last part?
Que es Broadcast Domains?