The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²) + 4x² = 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
In polar form:
r = √(x² + y²) and cosФ = x / √(x² + y²)
Hence:
r(1 - 2cosФ) = 1
√(x² + y²) [1 - 2(x / √(x² + y²))] = 1
√(x² + y²) - 2x = 1
Take square of both sides:
x² + y² - 4x√(x² + y²) + 4x² = 1
The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²) + 4x² = 1
Find out more on equation at: brainly.com/question/2972832
#SPJ1
Answer:
$1.80
Step-by-step explanation:
5 ounces
1st ounce = .80¢ plus 25¢ for every other ounce. You have 4 ounces left. 25¢ times 4. = $1.00
$1.00
+0.80
_____
$1.80
Answer:
1920 men are there in college.
Step-by-step explanation:
Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.
Ratio states that it is just a comparison between, or a relating of, two different things.
i.e a to b or a: b
Ratio of men to women:
Men : Women = 6: 5
Let x be the number.
Total number of Men in college = 6x and Total number of women = 5x
Since, total number of students = 3520
⇒
Combine like terms;
11x = 3520
Divide by 11 on both sides we get;
x = 320
Therefore, total number of men in college = 6x = 6(320) = 1920
Calculate the mean,median,and mode of the following set of data. Round to the nearest tenth 10,1,10,15,1,7,10,1,6,13
lions [1.4K]
Let's start with the mean.
To find the mean of a data set, add all the numbers, then divide by the number of numbers there are.
10 + 1 + 10 + 15 + 1 + 7 + 10 + 1 + 6 + 13 = 74
74/10 = 7.4
The mean is 7.4
Now for the median.
To find the median put all the numbers in order, then find the middle number.
1, 1, 1, 6, 7, 10, 10, 10, 13, 15
The number in between 7 and 10 is 8.5
The median is 8.5
And finally, the mode.
To find the mode, find the number that appears the most.
1, 1, 1, 6, 7, 10, 10, 10, 13, 15
In this case, there are two modes. 1, and 10.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
Answer:
Group A, because seven children have a forearm length longer than 10 inches
Step-by-step explanation:
Create the dot plots based on the given information (please see attached images).
Group A = blue dots
Group B = red dots
From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length. This is because 7 children have a forearm length of longer than 10 inches.
To calculate the average forearm length, sum all data values and divide by the total number of data values.


Thus proving that Group A has the longer average former length.