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3 years ago

Two examples of why the Pythagorean thereom is important

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

6 0

Https://www.reference.com/math/pythagorean-theorem-important-b747153a917d5df9
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Erin invests $7000 in stocks and bonds. The bonds earn 5% annual interest and the stocks earn 8% interest. If she earns $404 in

Marina CMI [18]

Answer:

$\large \boxed{\$5200}$

Step-by-step explanation:

Let b = the amount invested in bonds

Then 7000 -b = the amount invested in stocks

0.05b = interest from bonds

0.08(7000 - b) = interest from stocks

$\begin{array}{rcll}0.05b +0.08(7000 - b) & = & 404 &\\0.05b + 560 - 0.08b&=&404&\text{Distributed the 0.08}\\-0.03b + 560 & = & 404 & \text{Simplified}\\-0.03b & = & -156 & \text{Subtracted 560 from each side}\\\\b & = & \dfrac{-156}{-0.03} & \text{Divided each side by -0.03}\\\\b & = &\mathbf{5200}\\\\\end{array}\\\text{Erin invests $\large \boxed{\mathbf{\$5200}}$ in bonds}$

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3 years ago

Solve for x:<br> 4 - 5x < 22 - 2x

elixir [45]

Answer:

-6 < x

Step-by-step explanation:

4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation

4 - 22 < -2x + 5x

-18 < 3x

-6 < x

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3 years ago

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Translate then simplify <br><br> A number n decreased by the difference nine and the number

Sphinxa [80]

Answer:

Step-by-step explanation

x-(9-x)

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3 years ago

In ΔABC, ∠ ABC is a right angle included between AB = 3 units and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with po

sweet-ann [11.9K]

A'B' is 1.5 units long and lies on the same line as AB .

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3 years ago

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Convert 3.8 kneecap to mi/min

shtirl [24]

keeping in mind that there 60 seconds in 1 minute, and about 1.609 kilometers in 1 mile.

$\bf \cfrac{3.8~\underline{km}}{\underline{sec}}\cdot \cfrac{mi}{1.609~\underline{km}}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{3.8\cdot 60~mi}{1.609~min}~~\approx~~141.7029~\frac{mi}{min}$

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3 years ago