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Mathematics: Post your doubts here!

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15:
Area of smaller triangle/area of larger triangle = [length of smaller triangle/length of larger triangle]^2
11/99 = (BC/12)^2
11/99 = BC^2/144
BC^2 = 1/9 * 144 = 16
BC = 16^(1/2)
BC = +- 4

Since length can't be negative
BC = 4 cm :)

18:
a) Pythagoras theorem:
Let the distance be 'x'
x^2 = 83^2 + 78^3
Simplify:
x = 113.8990781
x = 114 :D
b) Let the bearing be (90 - y)
Tan y = Opposite/adjacent
y = Tan inverse (78/83)
y = 43.2

Bearing = 90 - y = 46.8 = 047 degrees :D
 
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does any one have any idea what formulae other than n(EuMuP)=n(E)+n(M)+n(P)-n(EnM)-n(MnP)-n(PnE)+n(EnMnP)
for venn diagrams? and is this one even correct? o.o
thanks :)
 
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BUT HOW WE WILL WRITE IT IN EXAM BECAUSE ACCORDING TO MY TEACHER YOU CANNOT USE OR WRITE LOG IN EXAM B/C TS NOT INCLUDED IN IGCSE
FOR STARTERS YOU DONT USE ALL CAPS
secondly the questions like that are for only 1 mark so you dont need to show working
 
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(yeah this one was from a worksheet my teacher gave)
"Out of 68 pupils in a school, 30 take english, 50 take math, and 24 take physics. if 10 take math and physics, 14 take english and physics and 22 take english and math, how many take all three subjects?
i asked my teacher for help on this so she gave me the formula i posted above.
if you know how to solve this without a formula please tell me
thank you :)
 
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(yeah this one was from a worksheet my teacher gave)
"Out of 68 pupils in a school, 30 take english, 50 take math, and 24 take physics. if 10 take math and physics, 14 take english and physics and 22 take english and math, how many take all three subjects?
i asked my teacher for help on this so she gave me the formula i posted above.
if you know how to solve this without a formula please tell me
thank you :)
is the answer 10?
if so i ll explain the method
 
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yeah the answer is 10 :O
i have solved such question before
your sir missed a part of question which is something like each student must choose at least 2 subjects
you dont need a formula in such case just a over view of what you is given
ignore the ven diagram
the formula your teacher gave you will only work in this question only because conditions are different every time
the number of intersections given is for students who choose 2 subjects
the total number-intersection will give you the number of students who didnt take 3 subjects
subtract the final from 68 you get 10
bit hard to explain here lol but i think you ll get it

set.jpg
 
Messages
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(yeah this one was from a worksheet my teacher gave)
"Out of 68 pupils in a school, 30 take english, 50 take math, and 24 take physics. if 10 take math and physics, 14 take english and physics and 22 take english and math, how many take all three subjects?
i asked my teacher for help on this so she gave me the formula i posted above.
if you know how to solve this without a formula please tell me
thank you :)
is the answer 10?
if so i ll explain the method
Yep. It's 10 :)
 
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122
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i have solved such question before
your sir missed a part of question which is something like each student must choose at least 2 subjects
you dont need a formula in such case just a over view of what you is given
ignore the ven diagram
the formula your teacher gave you will only work in this question only because conditions are different every time
the number of intersections given is for students who choose 2 subjects
the total number-intersection will give you the number of students who didnt take 3 subjects
subtract the final from 68 you get 10
bit hard to explain here lol but i think you ll get it

set.jpg
k just to clear things up :
you add up the same "criterias/ range of values"
subtract from the larger
and subtract the value you obtain from the original answer?
correct? :)
 
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k just to clear things up :
you add up the same "criterias/ range of values"
subtract from the larger
and subtract the value you obtain from the original answer?
correct? :)
yeah add all the number of elements for set given
subtracted but the info given to get the actual number without repetition
you subtract this actual value from universal set to get the number of missing values
 
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