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3 years ago

The area of a circle PQR with center O is 72cm. What is the area of sector POQ if angle POQ is 40

1 answer:

4 0

There are 360 degrees in a circle. If you simplify 40/360, you get how much of the circle the portion is. 40/360 simplifies to 1/9, which means that if you multiply 1/9 by 72, you get the area of the sector. Therefore, the area of sector POQ is 8.

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Points A B C D and E are collinear and in that order. Find AC if AE=x+50 and CE=x+32

Lana71 [14]

Answer:

Step-by-step explanation:

Points A B C D and E are collinear.

$\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC = 50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}$

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3 years ago

How is the number e defined?

Leviafan [203]

It can be defined as a positive..
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3 years ago

What is 13.5 rounded to 1 decimal place?

Oksana_A [137]

Answer:

13.5

Step-by-step explanation:

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3 years ago

2x^2-5x+1=0 solve using quadratic formula

Gnesinka [82]

Answer:

x=(5±√17)/4, or x ≈ 2.281 and 0.219

Step-by-step explanation:

$2x^{2} -5x+1\\$

plug into quadratic formula

$5+- \sqrt{(-5)-4(2)(1)}/2(2)$

simplify

$5+-\sqrt{25-8} /4$

$\frac{5+-\sqrt{17} }{4}$ ≈ 2.281 and 0.219

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3 years ago

Use the chart below to answer the questions:Which of these countries has the greatest population density? Which has the least? P

Korolek [52]

<em>Answer</em>

Denmark has the greatest population density

Ghana has the least population density

<em>Step-by-step explanation</em>

To find the population density we have to divide the population of each country by its area, as follows:

$\begin{gathered} \text{ Population density of Indonesia }=\frac{203,479,000}{1,904,569}\approx106.8\text{ }\frac{people}{sq\text{ }km} \\ \text{Populat}\imaginaryI\text{on dens}\imaginaryI\text{ty of Denmark}=\frac{5,248,000}{42,077}\approx124.7\text{ }\frac{people}{sq\text{ k}m} \\ \text{Populat}\mathrm{i}\text{on dens}\mathrm{i}\text{ty of Ghana}=\frac{18,339,000}{237,533}\approx77.2\text{ }\frac{people}{sq\text{ k}m} \end{gathered}$

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1 year ago