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Talja [164]
3 years ago
10

Expand and simplify

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

5\sqrt{2} + \sqrt{10}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

\sqrt{5}(\sqrt{10} + \sqrt{2}) ← distribute

= \sqrt{50} + \sqrt{10}

= \sqrt{25(2)} + \sqrt{10}

= \sqrt{25} × \sqrt{2} + \sqrt{10}

= 5\sqrt{2} + \sqrt{10}

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percentage decrease,20%

Step-by-step explanation:

50_40 books=,10 bus

10|50 ×100%=20%

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3 years ago
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Find the area of the shaded region. Use 3.14 for pi. Round to the nearest tenth.<br> r = 15<br> 110
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Answer:

110/360=11/36 (I will get back to this)

The area of the circle would be 225 pi using the formula pi r^2. So you multiply 225pi by 11/36 to find the area.  This rounds to 215.98

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Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

The right hand side of Step 1:  \dfrac45+\dfrac35\neq 1

Rather, the correct sum is:

\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25

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4 years ago
Payday loans are very short-term loans that charge very high interest rates. You can borrow $500 today and repay $575 in two wee
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3685.7%

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Please don't get mad if it's wrong.

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Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of
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China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.

<h3>How to apply direct proportions</h3>

A <em>direct</em> proportion is a <em>direct</em> relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.

Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:

x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶

x = 8.512 × 10⁶

China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. \blacksquare

To learn more on direct proportions, we kindly invite to check this verified question: brainly.com/question/14389660

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