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Mathematics: Post your doubts here!

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kindly i need help in 2011 21 question 16
The diagram shows a square of side k
The circle inside the square touches all four sides of the square.
A) The shaded area is A cm"2
show that 4a=4k"2-k"3.142"2
3.142 is a value of pie
"2 mean square :)
this one is really easy

Area of whole sq= k2
area of the circle= pie(k/2)sq
so if you take square of k/2 it become k*sq*/4

so
A=k*sq*-pie(k)*sq*/4
multiply every term by 4 so you get rid of denominator
4A=4k*sq*-pie(k)*sq*

i am going to sleep now but you guys better post shit load of questions till morning :p
 
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Assalamu Alikum.
This question is from As level.
When do i take pi as 180. Refering to past paper 9709/11/m/j/10. Question 5.
 
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guys when i need to calculate the bearing there are 2 angles which are always equal which ones ?? :/ i know that 180-x = x on the otherside but anything else ?
 
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i want help in this question

f(x) = 10 ^x (10 to the power x)

find f inverse(1) .........................i am finding hard to write here .. its actually nov 05 paper2 Q7 (b)
Capture.PNG
 
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hey, is Casio fx-991 Es allowed in exam...the exam is on tuesday so urgent answer needed.
 
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ive got a couple of questions so plzzzz people help me out!!
ok first one ) can someone plz explain for me how to do this briefly?
prob.png
the second one is in a) they ask for the area then in letter b) they mention that the answer in a) was the circumference ???? so what am i supposed to find ?
prob2.png
after calculating the distance=area undergraph which is 130 m what should i do?? to find the max speed ??
i tried doing the speed = distance/time which is 130/16 = 8.125 but that wasnt the right answer
prob3.png
now the last one im stuck on b)
Untitled1.png
THANK U in advance to whoever helps me in this :D
 
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ive got a couple of questions so plzzzz people help me out!!
ok first one ) can someone plz explain for me how to do this briefly?
View attachment 8472
part a sin(x)= cos(x)
the point where graph intesect
part b
take a point on graph were the sin x and cos x are 0.5 points apart

the second one is in a) they ask for the area then in letter b) they mention that the answer in a) was the circumference ???? so what am i supposed to find ?
View attachment 8473
area of grass is pie 8 sq
45/360 * 2pie12
multiply this answer by 4 to get answer for all 4

after calculating the distance=area undergraph which is 130 m what should i do?? to find the max speed ??
i tried doing the speed = distance/time which is 130/16 = 8.125 but that wasnt the right answer
View attachment 8474
distance is same the graph is a triangle
so 1/2*16*h=130
solve this to get the height which in this case is the max speed

now the last one im stuck on b)
View attachment 8475
THANK U in advance to whoever helps me in this :D
join C with the radius of other circle shown
you will have a right angled triangle
use Pythagoras Theorem
OC is the hypotenues
and the other side will be 2cm (6-4)
so under-root(OC)sq - 2sq

more questions!!!!!!!!!!!
trying my best to prepare for distinction
 
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hey, is Casio fx-991 Es allowed in exam...the exam is on tuesday so urgent answer needed.
cie only restricts graphical calculators because u can store data and formulas in them
other than that every calculator is allowed
i had additional mathematics exam in november and i did use 991 ES they just asked me to remove the back cover
 
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