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Harlamova29_29 [7]
3 years ago
10

The radius of a circle is 12 miles. What is the angle measure of an arc bounding a sector with area 10​ square miles?

Mathematics
1 answer:
hram777 [196]3 years ago
6 0

\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ A=10\\ r=12 \end{cases}\implies 10=\cfrac{\theta \pi 12^2}{360}\implies 10=\cfrac{2\pi \theta }{5} \\\\\\ 20=2\pi \theta \implies \cfrac{20}{2\pi }=\theta \implies \cfrac{10}{\pi }=\theta \implies 3.18\approx \theta

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Rational number 7/3 has terminating decimal
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Answer:

2.33

Step-by-step explanation:

Plug "7/3" in your calculator and round to the nearest hundredth (by finding the hundredth's place, looking at the digit before it, and moving the hundredth's place up one value if you deciphering that the digit before is greater/equal to 5). If you need a terminating decimal, you need to round. If you don't need it as a terminating decimal, add a ling over the last digit where the decimal begins to repeat.

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Which of the following equations is nonlinear?
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Answer:

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4 0
3 years ago
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The price of a house decreased from $500,000 to $400,000 in one year. What is the percent decrease?
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Answer:

A) 20%

Step-by-step explanation:

A) ✅

500000(0.2) = 100,000

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B) ❌

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C) ❌

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13. If the following fractions were converted to decimals, which one would result in a repeating decimal? A. 3/4 B. 1/9 C. 5/11
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Hey there!

In order to find if a fraction would result in a repeating decimal, recall that a fraction is a division problem written vertically. All that you have to do is divide the numerator by the denominator. Also, remember that a repeating decimal will result in the same number after the decimal point as long as the calculator can handle. 

3 ÷ 4 = 0.75

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3 ÷ 0.42857143...

As you can see, two out of your four answer choices give you a repeating decimal. B gives you a repeated number of "1" while C gives you "45". D doesn't count since there is no pattern of repeated numbers that it follows. 

Both B and C fall into the category of repeating decimal. If you're only able to choose one answer, I would ask your teacher, a parent, or a peer what they think. 

Hope this helped you out! :-)
5 0
4 years ago
I NEED HELP PLEASE, THANKS :)
mrs_skeptik [129]

Answer:

3rd option: f(x)⇒ +∞ as x⇒-∞ and f(x)⇒ -∞ as x⇒ +∞

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Looking at the graph, as x goes towards negative infinity, the y values go toward positive infinity.

On the other hand, as x goes towards positive infinity, the y values go towards negative infinity.

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