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tia_tia [17]
3 years ago
15

Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge

of each rectangular window. Each of the windows has an area of 2,160 in squared with a length of 60 inches. What is the perimeter of each window?
Mathematics
1 answer:
Bingel [31]3 years ago
3 0

Perimeter of window is 192 inches.

Step-by-step explanation:

We are given:

Area of rectangular window = 2160 inches square

Length of rectangular window = 60 inches

Required:

Perimeter of window=?

Formula to find Perimeter is:

Perimeter=2(length+Width)

We first find width of rectangular window by using formula of area:

Area=Length*Width

Putting values:

Area=Length*Width\\2160=60*Width\\Width=\frac{2160}{60}\\Width=36\,\,inches

So, width = 36 inches

Now finding perimeter:

Perimeter=2(length+Width)\\Perimeter=2(60+36)\\Perimeter=2(96)\\Perimeter=192\,\,inches

So, perimeter of window is 192 inches.

Keywords: Perimeter of rectangle

Learn more about Perimeter of rectangle at:

  • brainly.com/question/8902155
  • brainly.com/question/6564657
  • brainly.com/question/6594923

#learnwithBrainly

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given two terms in a geometric sequence find the 8th term and the recursive formula . a4=-12 and a5=-6
Crazy boy [7]

A geometric sequence is defined by a starting point, a, and a common ratio r

The first term is a, and you get every next term by multiplying the previous one by r.

So, our terms are

\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]

We can see that when we pass from a_4 to a_5 the number gets halved (-12 \mapsto -6)

This implies that the common ratio is r = \frac{1}{2}

So, the table becomes

\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]

So, we can derive the starting point from either a_4 or a_5:

\dfrac{1}{8}a = -12 \iff a = -12\cdot 8 = -96

The sequence is thus

\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]

And the recursive formula is

a_n = -\dfrac{96}{2^{n-1}}

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4 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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