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Mathematics: Post your doubts here!

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NO.6 anyone ?
P3 mathematics

Hello Paresh.

Q6) I)First off, were told that perimeter of shade= 1/2 circle circumference
Find radius of shade by dropping down a perpendicular so you get this in terms of r and x. Also theta here will be 2x. Radius of shade we do cosx= Adj/r , hence adj = rcosx and so side AB= 2rcosx
Also side AC is 2rcosx
So Perimeter Shade= 1/2 Circle Circumference Get arc length = rtheta = 2rcosx 2x= 4rxcosx
Arc + AB + AC= 1/2 x 2pier
4rxcosx + 2rcosx + 2rcosx= pier
Cross r
4xcosx + 4cosx = pie Notice on left hand side cosx is a common factor

So cosx(4x + 4) = pie
Cosx= pie/(4x + 4)
X = cosinverse(pie/4x+4)

Done :) part ii) and iii) are easy and straightforward
 
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Plzz Zaq sarcastic & others... help me clear my concept.
When we are ask to find the acute angle b/w the lines/planes we need to use the formula N1 * N2= |N|*|N| cosQ/sinQ
My question is when to use SinQ and CosQ when we are using this formula to calculate the Q ?
If you use cos you will get a values which isn't the acute angle then you have to 180-(cos-1(...)) we use sin for angle between line and plan
while for angle between 2 lines of 2 planes we use sin. this is what my teacher has taught me
 
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I need help in statistics .. I understand everything about part ii) except why did they multiply the area by 2 ?
 

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please help, can any anybody please show me how to solve part 1 in the image below?
 

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Hello
Please help me solve last part of this question

W10 / 33
 

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maxpapers.com/wp-content/uploads/2012/11/9709_s13_ms_32.pdf

Can someone solve question 9 part b ?
Can't find greatest value of z mod.
 
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Can someone please solve these questions with working (thanking you in advance) :)
1. The average of seven numbers is 12, and the average of three of them is –11. What is the sum of the other four numbers?
A 33 B 63 C 84 D 117

2. The price of a TV in 1970 increased by 300% in 1980. The price of the 1980 model TV increased by 200% in 1990. By what percentage did the price increase from 1970 to 1990?
A 500% B 600% C 900% D 1100%
 
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Can someone please solve these questions with working (thanking you in advance) :)
1. The average of seven numbers is 12, and the average of three of them is –11. What is the sum of the other four numbers?
A 33 B 63 C 84 D 117

2. The price of a TV in 1970 increased by 300% in 1980. The price of the 1980 model TV increased by 200% in 1990. By what percentage did the price increase from 1970 to 1990?
A 500% B 600% C 900% D 1100%
Sum of 7 numbers = 7*12=84
Sum of three of them=3*-11=-33
Sum of other four = 84-(-33)=117

2.
If price increases by 300%, the price has become four times the previous price. If then it increases by 200%, price has become three times previous. So overall, price is 4*3=12 times of original. That means price increased by 1100%

This does not seem A level to me BTW
 
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51uXsB-c8sL.jpg
So today I bought a photostat version or this but found out that there was no answer behind! Does anyone know where can I find the solutions for this book? p/s: this is a practice book, it's not a test book :(:(:(:(
 
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View attachment 52123
WEIGHT OF B??? can someone explain by resolving forces on B on diagram ????????
Let's get weight of B shall we?
First off, extend the arrow of the 18 N force on B, you will see that its angle between it and the horizontal is also 30!
We know B is in equilibrium also, so take axis directly on the smooth plane. Notice no friction here it's smooth.
R(->) resolve on x axis 18cos30= Wsin30
So W= 18root3= 31.18 N

Note I can draw it for you and attach the picture here but how do I do that?
 
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M1 NOV 2014 P41 (2).PNG
in part 1 i used v=u+at but the ans turned out to be wrong why??
i used vP= 1.3 +(0.1*20)=3.3m/s
ince vP=vQ so 3.3= vQ
thus, at t=20s 3.3= uQ+(0.016*20) uQ= 3.3-0.32=2.98m/s
Whereas, in markscheme the formula s=ut+1/2at^2 is used which gives the ans 0.1m/s
Can someone explain why cant we use v=u+at here???
 
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Let's get weight of B shall we?
First off, extend the arrow of the 18 N force on B, you will see that its angle between it and the horizontal is also 30!
We know B is in equilibrium also, so take axis directly on the smooth plane. Notice no friction here it's smooth.
R(->) resolve on x axis 18cos30= Wsin30
So W= 18root3= 31.18 N

Note I can draw it for you and attach the picture here but how do I do that?
u can attach a picture by clicking the option 'upload a file and open the pic from your library
 
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