Two ways of solving it:
The angle beside the 71 is equal to
180 - 71 = 109
so a triangle angles sums up to 180
so the reminaing is
x = 180 - 109 - 28 = 43
solution (2):
the exterior angle = sum of interior angles except the one near it.
28 + x = 71
x = 43
Lets write formulas for volume of both cone and can
Cone:
Vc = Bc*Hc/3
Can:
V = B*H
where B is basis and H is height for each
Now because cone fits perfectly inside can that means that both B and H are the same
from this we can see that cone has 3 times less volume than a can that cone is inside of.
if can has 36 volume that means that cone has:
36/3 = 12 volume
Answer is 12.
Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P =
.
But,
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also,
= m where 
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.