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siniylev [52]
3 years ago
13

Arrange these numbers from least to greatest:

Mathematics
1 answer:
zmey [24]3 years ago
8 0
First let's put them all over 100.
-\frac{5}{8} would change to -\frac{62.5}{100}

-\frac{7}{9} to -\frac{77.7}{100}

-\frac{4}{5} to -\frac{80}{100}

-\frac{3}{7} to -\frac{42.8}{100}

Then if we put them from least to greatest it would be from highest to lowest (since they are negatives)

-\frac{4}{5}, -\frac{7}{9}, -\frac{5}{8}, -\frac{3}{7}

The answer would be B


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The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m
Keith_Richards [23]

Answer:

a) \left(x,y\right)=\left(4.95,-4.95\right)

b) r\angle\theta = 7\angle0.5236\,\text{radians}

Step-by-step explanation:

Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

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The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the
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D.2.5 cm. I think...
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Irina-Kira [14]

Answer:

x > 125

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Standard form Q)9, Q)10
jeka94
9) 0.31
10) (7x10^6)-(3x10^3)
7000000-3000=6997000
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HEY!!! YES, YOU!!! WANNA HELP OUT A FELLOW SUFFERING VICTIM OF MATH? NOWS YOUR CHANCE!!! PLEASE HELP! 10 PTS!!!
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Answer:

16 cm

Step-by-step explanation:

Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.

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Now we divide the equation by 5 and obtain:

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