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3 years ago

14

Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de

cimal than in the given radius.
5.1 cm

C =

32.03 cm
32.02 cm
16.02 cm
16.01 cm

1 answer:

Schach [20]3 years ago

4 0

Circumference=2pir=<span>2∗3.14∗5.1</span><span>=30.028=30.03.</span>

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Beatrice calculated the slope between two pairs of points.

kumpel [21]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between (-3, -2) and (1, 0)

$m=\frac{0+2}{1+3}$

$m=\frac{2}{4}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (1,0)

substitute

$y-0=\frac{1}{2}(x-1)$

$y=\frac{1}{2}x-\frac{1}{2}$

step 2

Find the slope between (-2, -1) and (4, 2)

$m=\frac{2+1}{4+2}$

$m=\frac{3}{6}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (4,2)

substitute

$y-2=\frac{1}{2}(x-4)$

$y=\frac{1}{2}x-2+2$

$y=\frac{1}{2}x$

<em>Compare the equation of the two lines</em>

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to $\frac{1}{2}$

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What is a domain mathamatics

dalvyx [7]

Answer:

In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y, and is alternatively denoted as. . Since a function is defined on its entire domain, its domain coincides with its domain of definition.

Step-by-step explanation:

Google

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Rude took a test and earned a 92%. Camilo earned an 88% on the same test. If Rudy answered 46 questions correctly, how many more

g100num [7]

Rudy answered 2 more questions correctly
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46x2=92
44x2=88
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3 years ago

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IrinaK [193]

Answer:

As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.

<u>Let's verify</u>

<h3>Neighborhood 1</h3>

<u>Data</u>

55, 55, 60, 60, 70, 80, 80, 80, 90, 120

<u>Mean</u>

(55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75

<u>MAD</u>

(20*2+15*2+5+5*3+15+45)/10 = 15

<h3>Neighborhood 2</h3>

<u>Data</u>

100, 110, 110, 110, 120, 120, 120, 140, 150, 160

<u>Mean</u>

(100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124

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As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).

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Answer: $\sqrt[3]{125x^3}$ .

Step-by-step explanation: Given radical expression

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According to the product property of roots.

$\sqrt[n]{a} \times \sqrt[n]{b} = \sqrt[n]{a \times b}$

On applying above rule, we get

$\sqrt[3]{5x} \times \sqrt[3]{25x^2} = \sqrt[3]{5x \times 25x^2}$

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$x \times x^2 = x^3$

Therefore,

$\sqrt[3]{5x \times 25x^2}= \sqrt[3]{125x^3}$

<h3>So, the correct option would be second option $\sqrt[3]{125x^3}$ .</h3>

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