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
vekshin1
3 years ago
13

Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer qu

adrados de quantos tamanhos diferentes?
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

Portanto, o Sofia pode fazer 6 tamanhos diferentes

Step-by-step explanation:

A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula

2 (n + 1) Onde n = 0 e todos os inteiros positivos

em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho

a) quando n = 0

2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais

A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado

= 1 quadrado

b) quando n = 1

2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado

c) quando n = 2

2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado

d) quando n = 3

2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado

e) quando n = 4

2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado

f) quando n = 5

2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado

Adicionamos o número total de triângulos usados

2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos

42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes

Vamos fazer mais um, onde n = 6

g) quando n = 6

2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado

2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos

Isso já excedeu o número dado de triângulos em questão.

Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais

You might be interested in
Simplify the expression<br><br> 14+2y+3-6y
san4es73 [151]
<span>14+2y+3-6y=
14+3+2y-6y=
17-4y</span>
8 0
3 years ago
Read 2 more answers
The equation for line A is y = -2/3 x -4. Line A and Line B are perpendicular and the point ( -2 , 1) lies on Line B. Write the
gavmur [86]

A23425

Step-by-step explanation:

5 0
2 years ago
If 430 pounds of pebbles cover 1500 square feet, how many pounds of pebbles are necessary to cover 75,000 square feet?
drek231 [11]
6500 pounds are necessary to cover 75000 square feet
5 0
3 years ago
I Need The Answer Plz!!! Geometry Is Hard!!
prohojiy [21]

Answer:

12√5

Step-by-step explanation:

According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).

If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)

Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)

from the 2 paragraphs above, we can see now that we can assemble an inequality in x

24 < x < 30

If we look at the choices, we can immediately ignore 33 because x must be less than 30,

working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5  (= 26.83)  (which is the answer)

The last 2 choices give values smaller than 24 and are hence cannot be the answer

8 0
2 years ago
Given sin theta = 2/5 and 0 theta 90 find sin 2 theta
Liono4ka [1.6K]

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

                                                                              (4/25)*sqrt(21).

6 0
3 years ago
Read 2 more answers
Other questions:
  • If 8x−4y=20 and 4x−8y=4, what is the value of x−y
    6·1 answer
  • Solve for x<br><br> 6x + 7y = –2
    13·1 answer
  • How much does this equal?
    8·2 answers
  • The following data gave X = the water content of snow on April 1 and Y = the yield from April to July (in inches) on the Snake R
    8·1 answer
  • PLS HELP AND EXPLAIN THIS I GOT 10 minutes leftttt...
    6·2 answers
  • At lunch 4 friends share 3 pizzas equally what fraction of pizza does each friend get
    13·1 answer
  • 1
    6·1 answer
  • Help please........................
    15·1 answer
  • It costs $40 to register for Karate, then $15 per lesson. If Rachel is taking lessons and wants to spend no more than $250, how
    14·2 answers
  • 5x2-36 x+ 36 = 0<br> Do anything body know this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!