Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)

Answers

Answer 1

Answer:

The rectangular coordinate of the given polarcoordinate will be (- 3.5,6.062).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

As per the given polar coordinates,

(7, 2π/3)

It is known that, x = r cosθ and y = r sinθ.

x = 7 cos(2π/3) and y = 7 sin(2π/3)

x = -3.5 and y = 6.062

Hence "The rectangular coordinate of the given polarcoordinate will be (- 3.5,6.062)".

For more about coordinates,

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Answer 2

Answer: Polar coordinates are given by (r,θ).
Rectangular coordinates are given by (x,y)=(rcos θ,rsin θ)

You are given the r and the θ.

You need to find what 7cos(2π3) is, then find 7sin(2π3).

x=−7/2
y=7√3/2

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Just answer the question dont play with me rn

Answers

I'm going to play with you rn.

To find the height of the tree, we can use trigonometry and the given information.

Let's denote the height of the tree as h.

1. We have the length of the shadow, which is 150 ft.

2. We also have the angle of elevation from the tip of the shadow to the top of the tree, which is 30°.

We can use the tangent function to find the height of the tree:

tangent(angle) = opposite/adjacent

In this case, the opposite side is the height of the tree (h) and the adjacent side is the length of the shadow (150 ft).

So, we can write the equation as:

tangent(30°) = h/150

Now, let's solve for h:

tangent(30°) = h/150

tan(30°) = h/150

√3/3 = h/150

Cross-multiplying:

3h = 150√3

h = 50√3

To find the approximate value, we can use a calculator:

h ≈ 50 * 1.732 ≈ 86.6 ft

Rounded to the nearest foot, the height of the tree is approximately 87 ft.

Therefore, the correct answer is option B: 87 ft.

50 as a product of prime factors

Answers

If you are talking about using a factor tree, then it would go into 5 and 10
5 is a prime number so you'll divide 10 into 5 and 2. So 2x5x5=50 :)

Need help with problem show answer with work

Answers

Answer:

$[4x - 3][x + 5]$

Step-by-step explanation:

$4{x}^(2) + 17x - 15 \n [4{x}^(2) - 3x] + [20x - 15] \n x[4x - 3] \: 5[4x - 3] \n \n [x + 5][4x - 3]$

I am joyous to assist you anytime.

What is 6a squared - 12a+36

Answers

6a²-12a+36= 6a²-12a=-36
Put the normal number on the other side to have the variables on one side, and the normal number on the other.
Then group:
= 36a-12a= -36
= 24a=-36
Then isolate a:
= a=-36/24
Then simplify:
=a = - 3/2

Hope this helps!

6a² - 12a + 36 = 0
a = -(-12) +/- √((-12)² - 4(6)(36))
      2(6)
a = 12 +/- √(144 - 864)
      12
a = 12 +/- -√720
   12
a = 12 +/- -√(9 × 16 × 5)
   12
a = 12 +/- -√9 -√16 -√5
   12
a = 12 +/- (-3)(-4) -√5
   12
a = 12 +/- 12-√5
      12
a = 12 +/- 12(-2.236067978)
      12
a = 12 +/- (-26.83281573)
   12
a = 12 + (-26.83281573) a = 12 - (26.83281573)
      12       12
a = 12 - 26.83281573 a = 12 + 26.83281573
   12 12
a = -14.83281573 a = 38.832815723
   12 12
-1.236067978 a = 3.236067978

Is anyone smart enough to answer this?The graph shows the functions f(x), p(x), and g(x):

Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)

Part B: Write any two solutions for f(x). (3 points)

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)