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solniwko [45]
3 years ago
6

What are the rectangular coordinates of the polar coordinates

%7B%5Cpi%20%7D%7B12%7D%20%29" id="TexFormula1" title="(2\sqrt{2} ,-\frac{\pi }{12} )" alt="(2\sqrt{2} ,-\frac{\pi }{12} )" align="absmiddle" class="latex-formula">
Enter your answer in the box. Enter values rounded to the nearest hundredth.
Mathematics
2 answers:
Andrej [43]3 years ago
6 0

Answer: Given:

(r, θ) is equivalent to (x, y) = (7, 5).

By definition,

r = √(7² + 5²) = 8.6023

θ = tan⁻¹ (7/5) = 0.9505 rad

Therefore

2r = 17.2047

θ + π/2 = 0.9505 + π/2 = 2.5213

In rectangular coordinates,

x = 2r cos(θ + π/2) = 17.2047*cos(2.5213) = -14

y = 2r sin(θ + π/2) = 17.2047*sin(2.5213) = 10

Answer: (-14, 10)

melamori03 [73]3 years ago
4 0
Do you still need help ?!?!
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The price of Stock A at 9 A.M. was ​$14.65. Since​ then, the price has been increasing at the rate of ​$0.13 each hour. At noon
Nataly [62]

Answer:

The prices of the two stocks will be the same in 1.56 hours.

 

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

After noon:

Noon is 3 hours after 9 AM, so

So in x hours after noon, the value is given by:

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

In how many hours will the prices of the two stocks be the​ same?

This is x for which:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

Hope this helps:)

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2 years ago
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ipn [44]
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3 years ago
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Help with this question(will gove thanks and brainlist)(Your suppose to determine the pattern and then fill in the 3 blanks)
Savatey [412]

Answer:

Step-by-step explanation

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2 years ago
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Determine and state the maximum error of the function G(x,y,z)=20 ln⁡(xyz^2 ) using differentials when (x,y,z)=(2,3,4) and given
Leona [35]

Answer:

The maximum error in the function G, ΔG = ±4

Step-by-step explanation:

G(x,y,z) = 20 In (xyz²)

Total or maximum error for a multi-variable function is given by

ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)

(∂G/∂x) = 20yz²/xyz² = 20/x

(∂G/∂y) = 20xz²/xyz² = 20/y

(∂G/∂z) = 40xyz/xyz² = 40/z

Δx = ±0.10

Δy = ±0.15

Δz = ±0.20

ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)

ΔG = (20/x) (0.10) + (20/y) (0.15) + (40/z) (0.2)

At the point (x,y,z) = (2,3,4)

ΔG = (20/2) (0.10) + (20/3) (0.15) + (40/4) (0.2) = 10(0.10) + 20(0.05) + 10(0.2) = 1 + 1 + 2 = 4

ΔG = ±4

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Answer:

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Step-by-step explanation:

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