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3 years ago

Create an equation to solve for x using the trapezoid midsegment formula:

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

Equation for x: 3x - 6 = $\frac{2x - 1 + 25}{2}$

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = $\frac{CD + FE}{2}$

3x - 6 = $\frac{2x - 1 + 25}{2}$

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

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Answer:

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Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

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A population growth is an exponential growth and is modeled by the following function:

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Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

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So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

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percent means parts out of 100 so
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of means multipy so
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Step-by-step explanation:

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