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3 years ago

Find the rectangular coordinates of the point (sqrt3,pi/6)

Mathematics

1 answer:

madreJ [45]3 years ago

5 0

Answer:

$(x, y) = \left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)$

Step-by-step explanation:

The rectangular coordinates of the point are:

$(x,y) = \left(\sqrt{3}\cdot \cos\frac{\pi}{6}, \sqrt{3}\cdot \sin\frac{\pi}{6}\right)$

$(x, y) = \left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)$

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Step-by-step explanation:

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3 years ago

Determine the end behavior of the polynomial function. f(x)=-3x^4-2x^3+2x^2+ 3x +5 a) falls to the left and rises to the right b

Molodets [167]

Answer:

Option b is correct

Step-by-step explanation:

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Here we can see that highest exponent of the polynomial function is 4

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4 years ago

What is the difference in speed between two cars when one traveled 175 km in 4 hours and the other traveled the same distance in

vovangra [49]

<h3>Given :</h3>

Distance = 175
Time 1 = 4 hours

$\\ \\$

Different between two speeds when distance is same.

$\\ \\$

<h3>Solution:</h3>

In first part we will find speed 1 in which time is 4 hours

we know:-

$\bigstar \boxed{ \rm speed = \frac{distance}{time} }$

So:-

$\dashrightarrow\sf speed_1 = \dfrac{distance}{time_1}$

$\\ \\$

$\dashrightarrow\sf speed_1 = \dfrac{175}{4}$

$\\ \\$

$\dashrightarrow\bf speed_1 = 43.75 \: km {h}^{ - 1}$

In first part we will find speed 2 in which time is 3 hours

Again:

$\bigstar \boxed{ \rm speed = \frac{distance}{time} }$

$\\ \\$

$\dashrightarrow\sf speed_2 = \dfrac{distance}{time_2}$

$\\ \\$

$\dashrightarrow\sf speed_2 = \dfrac{175}{3}$

$\\ \\$

$\dashrightarrow\bf speed_2 = 58.33kmh^{-1}$

$\\ \\$

In this part we will find different between speed 1 and speed 2

$\bigstar \boxed{\rm Difference = speed_2 - speed_1}$

$\\ \\$

So :

$\dashrightarrow\sf Difference = speed_2 - speed_1 \\$

$\\ \\$

$\dashrightarrow\sf Difference =58.33 - 43.75\\$

$\\ \\$

$\dashrightarrow\bf Difference =14.58kmh^{-1}\\$

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$\therefore \underline {\textsf{\textbf{Difference in speed between two cars is \red{14.58km/h}}}}$

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