The ratio of males to females is 1.4 : 1, so the fraction of the total that is made up of males is 1.4/(1.4 + 1) = 1.4/2.4 = 7/12.
There were (7/12)*475 ≈ 277 males at the party.
There were 475 - 277 = 198 females at the party.
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
subtract 1/3x
so that you can get qui equatio
Answer:
The value of n is 21.
Step-by-step explanation:
We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.
As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).
And, the exterior angle = 180° - the interior angle.
So, according to the question;

150 + 53 + 45 + 7(n - 5) = 360
248 + 7n - 35 = 360
213 + 7n = 360
7n = 360 - 213
7n = 147
n = 
n = 21
Hence, the value of n is 21 and this is a 21-sided polygon.
It takes them 12 seconds to eat the whole sausage.
<h3>What is speed?</h3>
Speed is the rate of change of distance.
Analysis:
If kitten eats x cm, then puppy will eat 14 - x cm
speed = d/t
speed of kitten = 1/2
speed of puppy = 2/3
1/2 = x/t
2/3 = 14 - x / t
t = 2x--------1
2t = 3(14 - x ) -------- 2
substitute t in equation 2
2(2x) = 3(14 - x)
4x = 42 - 3x
7x = 42
x = 42/7 = 6cm
substitute value of x in equation 1
t = 2(60 = 12 seconds.
In conclusion, it takes the both animals 12 seconds to finish the sausage.
Learn more about speed: brainly.com/question/4931057
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