Answer:
total surface area of cone is πr (r+l)
22/7 x 3 (3+4)
22/7*3 (7)
22 x 3 ( as 7 that was divided by 22 was cut out with 7 in the bracket)
hence,
TSA of cone = 66pi
9514 1404 393
Answer:
B (2 violet)
Step-by-step explanation:
Let the colors be represented by their first letter. Then the balances give rise to two equation:
o +y +b +v = r +g +b
o +y +v = g +v
Subtracting the second equation from the first gives ...
(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)
b = r +b -v
Adding v-b to both sides, we have ...
b +(v -b) = r +b -v +(v -b)
v = r
Multiplying this result by 2, we can match the final balance:
2r = 2v . . . . . . . choice B
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality 
. To do that, factorize, then we have that 
. This implies that
or
In the first case the solution is the empty set 
. In the second case the solution is the interval 
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)
![C=(3,4]](https://tex.z-dn.net/?f=C%3D%283%2C4%5D)
.
To show that 
consider 
. Then 
, this implies that 
, then 
. Now, to show that 
consider , then , then 
, then ![x\in [1,4] \, \text{and}\, x\in (3,5)](https://tex.z-dn.net/?f=x%5Cin%20%5B1%2C4%5D%20%5C%2C%20%5Ctext%7Band%7D%5C%2C%20x%5Cin%20%283%2C5%29)
, this implies that .
Observe the image below.
