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enyata [817]
4 years ago
13

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 3 comma 5 pi divided by 3. for my

answer I keep getting -3, -1
Mathematics
1 answer:
kifflom [539]4 years ago
8 0
The correct answer is C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2
<span>
(r,θ) = (x,y)
</span><span>x = r * cosθ
</span><span>y = r * sinθ
</span>Since your θ is <span>5π3</span><span>, set your calculator to radians before taking the sine and cosine.
</span>

<span>(3 cos <span><span>5π / </span>3</span>, 3 sin <span><span>5π / </span>3</span>)</span> 

<span>(3* <span>1 / 2</span>, 3 * - <span>sqrt(<span>3) / 2</span></span>)</span>

<span>(<span>3 / 2</span>, −<span><span>3 sqrt (3) / </span>2</span>)</span>

if r = -3, then x is negative, y is positive.

Here are the following choices:
<span>A. ordered pair negative 3 divided by 2 comma 3 divided by 2
B. ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2
C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2
D. ordered pair 3 divided by 2 comma negative 3 divided by 2 </span>

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The rate of the jet stream is 100 miles per hour. Traveling with the jet​ stream, an airplane can fly 1200 miles in the same amo
irga5000 [103]

Answer:

x = 600 mph

Step-by-step explanation:

It is given that,

Speed of the jet stream = 100 mph

It travels 1200 miles in the same amount of time as it takes to fly 1000 miles against the jet stream.

We need to find the airplane's average rate in calm​ air. Let it is equal to x mph.

As time in same in both cases. ATQ,

\dfrac{1200}{x}=\dfrac{1000}{x-100}\\\\\dfrac{12}{x}=\dfrac{10}{x-100}\\\\12x-1200=10x\\\\12x-10x=1200\\\\2x=1200\\\\x=600

So, the airplane's average rate in calm​ air is 600 mph. Hence, this is the required solution.

5 0
3 years ago
What is the length of PS?
Lelechka [254]

Answer:

7

Step-by-step explanation:

Since PQ = PS,

(x-1) = (3x -7)

x=3

2(2) + 3

=7

<u><em>7</em></u>

6 0
3 years ago
Match each term with its notation. Enter the number corresponding to the correct notation in the blank.
d1i1m1o1n [39]

Question:

Match each term with its notation. Enter the number corresponding to the correct notation in the blank.

______:The number of treatment conditions

______:The number of scores in each treatment

______:The total number of scores in the entire study

______:The sum of the scores for each treatment condition

______:The sum of all of the scores in the research study

______:The F-ratio

1. G

2. k

3. N

4. T

5. n

6. F

Answer:

i) K :The number of treatment conditions

ii) n :The number of scores in each treatment

iii) N :The total number of scores in the entire study

iv) T :The sum of the scores for each treatment condition

v) G :The sum of all of the scores in the research study

vi) F :The F-ratio

Step-by-step explanation:

Here we are dealing with ANOVA notations.

ANOVA which is the short form for Analysis of Variance is a test in staristics used to compare two population samples to check if they are equal.

Here, we have the following ANOVA notations:

G, K, n, T, N, F

Where, G is said to be the sum of scores in the research study.

K is the number of treatment.

n is the number of scores in each treatment

T is the sum of scores for each treatment condition.

N is the total number of scores in whole study

F is the F-ratio.

Matching them with the terms given, we have the following:

i) K :The number of treatment conditions

ii) n :The number of scores in each treatment

iii) N :The total number of scores in the entire study

iv) T :The sum of the scores for each treatment condition

v) G :The sum of all of the scores in the research study

vi) F :The F-ratio

Note the difference between "N" and "n"

6 0
3 years ago
The stem-and-leaf plot shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil.
Viefleur [7K]

Answer:

Soil A mean: 71.8

Soil B mean: 72

Soil A MAD: 8.16

Soil B MAD: 5.4

Soil A set is more variable because it has a greater MAD. This feature is also seen in the stem-and-leaf plot, where Soil A set is more spread than Soil B set

Step-by-step explanation:

Soil A | |Soil B  

          |5|9  

5 2 1 1|6|3 9  

  5 1 0|7|0 2 3 6 7 8  

      2 1|8|3  

        0|9|

Soil A mean: (65 + 62 + 61 + 61 + 75 + 71 + 70 + 82 + 81 + 90)/10 = 71.8

Soil B mean: (59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83)/10 = 72

Soil A MAD: ( |65 - 71.8| + |62 - 71.8| + |61 - 71.8| + |61 - 71.8| + |75 - 71.8| + |71 - 71.8| + |70 - 71.8| + |82 - 71.8| + |81 - 71.8| + |90 - 71.8|)/10 = 8.16

Soil B MAD: ( |59-72| + |63-72| + |69-72| + |70-72| + |72-72| + |73-72| + |76-72| + |77-72| + |78-72| + |83-72| )/10 = 5.4

3 0
4 years ago
What is the elevation at the air pressure of 7.252 psi?
IRINA_888 [86]
The elevation of air pressure of 7.252 psi is 5574.32m 
5 0
4 years ago
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