The measure of an obtuse angle is greater than 90 degrees and less than 180 degrees.
Answer:
45%
Step-by-step explanation:
The formula to work out the decrease is:
Percentage Decrease= actual decrease / original amount X 100%
1) So firstly, we have to work out the decrease, to do this we have to do is do $750-$412.50= $337.50
2) We can now substitute this into our formula which will now be. (We will also add the original amount, which is $750.00)
Percentage Decrease= 337.50 / 750.00 X 100% = 45
The percentage decrease is 45%
Answer: 1/18
Step-by-step explanation:
9 total marbles
2 red
so the first time he picks it would be a 2/9 chance of the marble being red
the second time there would be 8 total marbles and 2 red, so it would be a 2/8 or 1/4 chance.
the probability is found by doing 2/9*1/4 which equals 2/36 or 1/18.
Step 1:
Start by putting

in front of each term
![\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5By%20cos%20x%5D%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B5x%5E2%5D%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%203y%5E2%5D)
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Step 2:
Deal with the terms in 'x' and the constant terms
![\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bycosx%5D%3D%2010x%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B3y%5E2%5D%20%20)
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Step 3:
Use the chain rule for the terms in 'y'
![\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bycosx%5D%3D10x%2B6y%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20)
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Step 4:
Use the product rule on the term in 'x' and 'y'


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Step 5:
Rearrange to make

the subject


![[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)](https://tex.z-dn.net/?f=%5Bcos%28x%29%20-%206y%5D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D10x%20%2B%20y%20sin%28y%29%20)

⇒ Final Answer
Substract 6 to both sides and you get 36 =-2d then you use the multiplicative inverse and d=-18.