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Gemiola [76]
3 years ago
8

Considera um quadrado de lado 2x e um rectângulo de comprimento x e largura x  2 . Qual é o valor de x para o qual as duas figu

ras têm o mesmo perímetro.
Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

3 unidades de comprimento

Step-by-step explanation:

O perímetro é definido como a soma de todos os lados.

O perímetro de um quadrado de lado 2x é dado por:

Q=4*2x=8x

O perímetro de um retângulo de comprimento x e largura x² é dado por:

R=2x+2x^2

Para que ambos os perímetros sejam iguais:

R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3

O valor de x é igual a 3 unidades de comprimento.

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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
Simplify: 5(3x -4) - 6( 4 - 3x)
VikaD [51]

Answer:

33x-44

Step-by-step explanation:

15x-20-24+18x

33x-44

5 0
3 years ago
Megan is making quilts that require 11 feet of cloth each. She has 50 feet of cloth. What are the possible numbers of quilts tha
goldenfox [79]

Answer:

4

Step-by-step explanation:

Because the fact the quits are ll feet there are 6 feet left over but that can not make 11 feet quilt

5 0
3 years ago
Which of the following graphs represents the equation below?: -9x – 3y = -8
Mamont248 [21]
It’s C! that’s the answer, hope it helps
7 0
2 years ago
Josh exercises at the gym 3 3/4 hours a week. He spends 2/5 of his time at the gym lifting weights. How many hours a week does J
Natali5045456 [20]

Answer:

1.5hours

Step-by-step explanation:

Firstly in this question, we convert the time given to minutes.

Using the conversion of 60 seconds make a minute, we have 3/4 hours as 3/4 * 60 = 45 minutes. Let’s add this to a total of 3 hours which is 180 minutes. This gives a total of 225 minutes.

Now, we are told that he spends 2/5 of his time lifting weight. This is equivalent to 2/5 * 225 = 90 minutes

We convert this to hour = 90/60 = 1.5 hours

3 0
3 years ago
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