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

What generalization can you make about the seven cities of gold?
What are the foci of the following graph?
When you add 34 by 822 and then once once you answer that, give a real world example of the equation.
When exchanging US Dollars (USD) for Philippine Peso.(PHP) the number of philippine pessos received is directly Proportional to the number of US Dollars to be
Please answer this correctly
6. Fran shoots an arrow straight up. At the top of the arrow's path A. Velocity and acceleration are both zero. B. Velocity is zero and acceleration is not zero
What generalization can you make about the seven cities of gold?
Evaluate x^3 - 3y when x = -3 and y = 4. -39 -15 15 39
Write the equation of an ellipse with vertices (0, 5) and (0, -5) and co-vertices (2, 0) and (-2, 0).
whats the Quotient and remainder of 371 divided by 8