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Montano1993 [528]

3 years ago

11

the sides of the rectangle are inreased by a scale factor of 4. The perimeter of the smaller retangle is 20 cm. What is the peri

meter of the larger rectangle?

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

The height of the smaller rectangle, let us say is 5
5 x 4 = 20
(multiply height of rectangle to scale factor)
the length is 4
4 x 4 = 16
(multiply length of rectangle to scale factor)

to find larger factor, divide smaller with larger
16/20 = 1/4

scale factor should be 1/4

multiply 20 with 4

perimeter of larger should be 80

hope this helps

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The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

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Answer:

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Step-by-step explanation:

Given

Geometric Progression

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To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

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Substitute the above expression in equation 1

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$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

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By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

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Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

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So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

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