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qaws [65]
3 years ago
12

HELP ME PLS IM DESPO

Mathematics
1 answer:
gogolik [260]3 years ago
7 0
There is a 1/3 chance. Add up the shaded parts for a total of 120 degrees. 120/360 is 1/3
You might be interested in
(6x-5y+4)dy+(y-2x-1)dx=0​
Len [333]

(6<em>x</em> - 5<em>y</em> + 4) d<em>y</em> + (<em>y</em> - 2<em>x</em> - 1) d<em>x</em> = 0

(6<em>x</em> - 5<em>y</em> + 4) d<em>y</em> = (2<em>x</em> - <em>y</em> + 1) d<em>x</em>

d<em>y</em>/d<em>x</em> = (2<em>x</em> - <em>y</em> + 1) / (6<em>x</em> - 5<em>y</em> + 4)

Let <em>X</em> = <em>x</em> - <em>a</em> and <em>Y</em> = <em>y</em> - <em>b</em>. We want to find constants <em>a</em> and <em>b</em> such that

d<em>Y</em>/d<em>X</em> = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting <em>x</em> and <em>y</em> in the equation, we have

d<em>Y</em>/d<em>X</em> = (2 (<em>X</em> + <em>a</em>) - (<em>Y</em> + <em>b</em>) + 1) / (6 (<em>X</em> + <em>a</em>) - 5 (<em>Y</em> + <em>b</em>) + 4)

d<em>Y</em>/d<em>X</em> = (2<em>X</em> - <em>Y</em> + 2<em>a</em> - <em>b</em> + 1) / (6<em>X</em> - 5<em>Y</em> + 6<em>a</em> - 5<em>b</em> + 4)

Then we solve for <em>a</em> and <em>b</em> in the system,

2<em>a</em> - <em>b</em> + 1 = 0

6<em>a</em> - 5<em>b</em> + 4 = 0

==>   <em>a</em> = -1/4 and <em>b</em> = 1/2

With these constants, the equation reduces to

d<em>Y</em>/d<em>X</em> = (2<em>X</em> - <em>Y</em>) / (6<em>X</em> - 5<em>Y</em>)

Now substitute <em>Y</em> = <em>VX</em> and d<em>Y</em>/d<em>X</em> = <em>X</em> d<em>V</em>/d<em>X</em> + <em>V</em> :

<em>X</em> d<em>V</em>/d<em>X</em> + <em>V</em> = (2<em>X</em> - <em>VX</em>) / (6<em>X</em> - 5<em>VX</em>)

The equation becomes separable after some simplification:

<em>X</em> d<em>V</em>/d<em>X</em> + <em>V</em> = (2 - <em>V</em>) / (6 - 5<em>V</em>)

<em>X</em> d<em>V</em>/d<em>X</em> = (2 - <em>V</em>) / (6 - 5<em>V</em>) - <em>V</em>

<em>X</em> d<em>V</em>/d<em>X</em> = (2 - <em>V</em> - (6 - 5<em>V</em>)) / (6 - 5<em>V</em>)

<em>X</em> d<em>V</em>/d<em>X</em> = (4<em>V</em> - 4) / (6 - 5<em>V</em>)

- (5<em>V</em> - 6) / (4<em>V</em> - 4) d<em>V</em> = 1/<em>X</em> d<em>X</em>

Integrate both sides:

-5/4 <em>V</em> + 1/4 ln|4<em>V</em> - 4| = ln|<em>X</em>| + <em>C</em>

Extract a constant from the logarithm on the left:

-5/4 <em>V</em> + 1/4 (ln(4) + ln|<em>V</em> - 1|) = ln|<em>X</em>| + <em>C</em>

-5/4 <em>V</em> + 1/4 ln|<em>V</em> - 1| = ln|<em>X</em>| + <em>C</em>

-5<em>V</em> + ln|<em>V</em> - 1| = 4 ln|<em>X</em>| + <em>C</em>

Get this back in terms of <em>Y</em> :

-5<em>Y/X</em> + ln|<em>Y/X</em> - 1| = 4 ln|<em>X</em>| + <em>C</em>

Now get the solution in terms of <em>y</em> and <em>x</em> :

-5 (<em>y</em> - 1/2)/(<em>x</em> + 1/4) + ln|(<em>y</em> - 1/2)/(<em>x</em> + 1/4) - 1| = 4 ln|<em>x</em> + 1/4| + <em>C</em>

<em />

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4<em>y</em> - 2)/(4<em>x</em> + 1) + ln|(4<em>y</em> - 4<em>x</em> - 3)/(4<em>x</em> + 1)| = 4 ln|<em>x</em> + 1/4| + 4 ln(4) + <em>C</em>

-5 (4<em>y</em> - 2)/(4<em>x</em> + 1) + ln|(4<em>y</em> - 4<em>x</em> - 3)/(4<em>x</em> + 1)| = 4 ln|4<em>x</em> + 1| + <em>C</em>

-5 (4<em>y</em> - 2)/(4<em>x</em> + 1) + ln|4<em>y</em> - 4<em>x</em> - 3| - ln|4<em>x</em> + 1| = 4 ln|4<em>x</em> + 1| + <em>C</em>

-5 (4<em>y</em> - 2)/(4<em>x</em> + 1) + ln|4<em>y</em> - 4<em>x</em> - 3| = 5 ln|4<em>x</em> + 1| + <em>C</em>

8 0
3 years ago
DONT FORGET TO GRAPH IT!! ALL QUESTIONS THAT DONT ANSWER MY QUESTION, WILL BE REPORTED!
sdas [7]

Answer:

look on bottom

Step-by-step explanation:

heres how to do it:

select the last arrow, the one that is not dark and is pointing right

drop it on the number 3

done

hope this helps!

5 0
2 years ago
What is the area of the square? A square with the left side labeled 4 units.
Liono4ka [1.6K]
Area of square is a^2
4^2 = 16
the area is 16 units
7 0
2 years ago
Read 2 more answers
Factor the expressions .<br> 36 + 8z
Sophie [7]

Answer:

4 × ( 9 + 2z)

Step-by-step explanation:

36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor

            = 4 × ( 9 + 2z)  

we can also write it like this

36 + 8z = 2 × ( 18 + 4z)

3 0
3 years ago
The actual distance between the two houses is 44.1ft. The contractor measures the distance as 46ft. Find the relative error of t
mixer [17]
The correct answer is: 44.1ft - 46ft = -1.9ft/44.1ft = .043% relative error. Please mark Brainliest if helpful
6 0
2 years ago
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