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how do i find x?
What is \[x^2-5x?\]
its the angel of ARC PQ
what do you mean
what is 4x
its the angle od CQR sorry i forgot to label C . C is the middle
Answer is 13 degrees
solve this 2(4x) = x^2−5
how did u get 13? and why are you multiplying 2 by 4x?
QCR=180-PCQ and also QRC=4x.So add all anges to get 180. 180-(x^2-5x)+8x=180.Solve this to get angle as 13 degrees
QRC is 4x because it is an isosceles triangle i.e.QC=CR
how do you know its an isosceles?
QC=CR=Radius of the circle
best of luck people
ok hold on let me solve it
what about QR? that little part left because of the triangle. that doesnt matteR?
where QR is i mean
& why is it 8x? shouldnt it be 12x? cuhs there are 3 angles in the triangle??
That doesn't matter all we need to figure out is that the triangle is isosceles hence QCR is 4x because what we want are the angles.The other side if you want you can find out using the cosine rule if you want but you don't need it here
can you help me with another problem?
A clock with hour and minute hands is set to 1:00 PM. After 20 minutes, what will be the measure of the minor arc formed by the hour and minute hands? I have no clue what to do
Ok let me see
im sorry but i have no clue what that means or what you did.
Now the clock is divided into 12 parts.Total angle is \[2\pi\] radians so angle contained in each part is \[2\pi/12\]which is \[\pi/6\] Now here for the theta we need the arc encloses 3 parts so theta is (pi/6)*3
Length of the arc is radius*angle enclosed by arc
So now theta is pi/2 so length of arc=r*pi/2
where did you get pi from
Total angle in a circle is \[2\pi radians\]
Did you understand?
uhmm hold on. im looking at what you did
btw whats theta?
The angle enclosed by the arc
\[\Theta \] is theta
doesnt it enclose 4 parts?
isnt that after 20 mins?
The time is 1.20
Coincidentially the time here where I live is 1.20!Lol
so can you explain what you did again ? i dont get how you got pi and R . did u use the circumference? C=2pi(r)?
No now the whole angle in the circle is 2 pi
And the arc encloses 3/12 th of that
how is the whole angle 2 PI?
360 degrees=\[2\pi\] radians.Radian is another way of measuring an angle. http://en.wikipedia.org/wiki/Radian
ohhhhhh. okay. but if i was to do everything you did & used 360 instead of 2 pi would it be wrong?
Yeah it would.The formula is valid only if the angle is measured in radians.
so, is the answer pi/2?
For example the whole angle inside a circle so length of arc by circle would be 2pi*r which is actually the circumference
No the angle enclosed is pi/2 the length of the arc is r*pi/2
& what is r? Radian?
No r is the radius.The formula is length of arc is the multiple of angle enclosed in radians and radius of the arc
oh ok . i think i get it now. thanks!
hey can you help me with 1 more? i cant solve it.
Sure go on
The plane intersects the sphere in a circle that has diameter 12. If the diameter of the sphere is 18, what is the value of x? Give ur answer in simplified radical form.
Ok sounds interesting.Let's see
I am not sure how to do this.Ill tell you if I get it