All categories

1 year ago

Find polar coordinates of the point whose cartesian coordinates are given. (-2√3 , 2)

Mathematics

1 answer:

gavmur [86]1 year ago

8 0

The polar coordinates of the point whose cartesian coordinates is (-2√3 , 2) is (4cos210, 4sin210)

<h3>Polar form of a rectangular coordinate</h3>

The polar form of a rectangular coordinate (x, y) is expressed as (rcos theta, r sin theta)

Given the coordinate (-2√3 , 2)

r = √(-2√3)²+2²

r = √12+4

r = 4

theta = tan^-1(-2/2√3)

theta = tan^-1(-1/√3)

theta = -30 degrees = 210 degrees

The polar coordinates of the point whose cartesian coordinates is (-2√3 , 2) is (4cos210, 4sin210)

Learn more on polar coordinate here: brainly.com/question/14965899

#SPJ1

You might be interested in

8.<br> y<br> 5<br> х<br> -5<br> Ut<br> --5<br> slope =<br> Please help me

Burka [1]

Go choose the one you think

4 0

2 years ago

PLEASE CHECK MY ANSWERS (PART 2)

Anna007 [38]

3 is incorrect, should be 28.9

16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08

16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9

5 is incorrect:

The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b ≈ 6.93

The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28

3 0

3 years ago

Which expression is equivalent to a^3 • b^3 • a^-3 • b?

Dmitry [639]

The answer is B! b^4. If we examine the expression given, we have a^3 * b^3 * a^-3 * b= a^3/a^3 * b^3 * b = 1 * b^4

Hope this helps! Any questions please feel free to ask!!

Thank you!!

3 0

2 years ago

The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac

N76 [4]

Answer:

$\boxed{\text{144.33 m}^{2}}$

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.

The ratio of the areas is the square of the scale factor.

$\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}$

4 0

2 years ago

A triangle has vertices at B(-3,0), C(2, -1), D(-1,2). Which series of transformations would produce an image with vertices B"(4

Alik [6]

Answer:

(b) (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)

Step-by-step explanation:

A graph shows the image is consistent with reflection over the y-axis

(x, y) ⇒ (-x, y)

and translation right 1, up 1

(x, y) ⇒ (x +1, y +1)

These transformations are listed in the second choice.

In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.

4 0

1 year ago