Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
Answer:
15
Step-by-step explanation:
For any circle with Cartesian equation

,
we have that the centre of the circle is

, and the radius of the circle is

.
So in the case that

,
we essentially have that

.
So the centre of the circle is

, and the radius is

.
Answer:
Step-by-step explanation:
Loss is 20%
S.P=Rs60000
C.P=S.P*100/100-loss%
=60000*100/80=Rs75000
So he brought is at Rs75000
Now he wants 12% profit
So
S.P=(100+profit%)/100*C.P
=100+12/100*75000
=112/100*75000=Rs 84000
He will have to sell Rs14000 more to gain profit of 12%
Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)