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ANTONII [103]
3 years ago
8

The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

, x, of each square windowpane? The image is of two rectangles one inside the other. Inner rectangle is divided into three squares each having length x . The space between the two rectangles is 6 inch both in length and width. A. 10 in. B. 20 in. C. 15 in. D. 25 in.

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

Option A. x=10\ in

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0

using a graphing tool to solve the quadratic equation

The solution is x=10\ in

see the attached figure

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For a recent year, the rate of first-class postage is as follows:
Law Incorporation [45]

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$0.95

Step-by-step explanation:

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Similarly we can write equation for other parts

C(x)=0.61  where 1<x<=2

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C(x)=\left\{\begin{matrix}0.44 & 0

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7 0
2 years ago
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Someone please help, i don't have a lot of time
topjm [15]
<span>Pythagorean triple
a^2 + b^2 = c^2
so
5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169

answer is D. last one 5, 12 , 13</span>
4 0
3 years ago
In the 1980s an average mortgage rate was around 18.5 how much less per month would a 150000 30 year mortgage by today if the cu
lianna [129]

Answer:

  $1516.69 per month less

Step-by-step explanation:

The formula for the monthly payment A on a loan of principal P, annual rate r, for t years is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

For the 18.5% loan, the monthly payment is ...

  A = 150000(.185/12)/(1 -(1 +.185/12)^(-12·30)) ≈ 2321.92

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  A = 150000(.05/12)/(1 -(1 +.05/12)^-360) ≈ 805.23

The mortgage at 5% would be $1516.69 less per month.

7 0
3 years ago
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