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

the diameter of a circle is 18 centimeters. What is the area? Give the exact answer in simplest form
Help me, its french iiregular verbes: DEVOIR, VOULOIR, and POUVOIR
What are SmartArt graphics? Graphics that were predesigned by Microsoft Images that were hand-drawn and scanned in Graphics that were downloaded from a camera I
Please answer these 2 questions for me!!
Differentiate between chemical properties of metals & Non Metals​
Four decreased by the product of a number and 7 is equal to 11
there can be mutiple interpretations of a single historic event by different?​
what is it the difference between the integers -11 and -3​
How might the rate of conduction be affected if the fiber absorbs moisture ?​
Event A: Flipping heads on a coin Event B: Rolling an odd number on a number cube What is P(A and B)? (Help this doesnt make any sense to me)