Answer:
vvvvvvvvvv
Step-by-step explanation:
there are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. a polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.
Answer:
Pool will be filled in 280 hours
Step-by-step explanation:
Inlet pipe fills in 40 hours = 1 pool
Inlet pipe fills in 1 hours = 
Drain pipe empty in 42 hours = 1 pool
Drain pipe empty in 1 hour = 
If both pipes are opened together
then in pool fills in 1 hour = -
on simplifying the right side ,we get 
= 
= 
pool fills in 1 hour
1 pool will be filled in 840 hours
pool is filled
empty pool = 1 - = 
therfore pool will be filled in X 840 =
= 280 hours
D. 30* Because This is definitely smaller than a 45 degree angle. If it was a bit wider it would be.
A = pi * r^2
radius 14 ft
A = 3.14 * 14^2
A = 3.14 * 196
A = 615.44...rounds to 615
radius 10 ft
A = 3.14 * 10^2
A = 3.14 * 100
A = 314
difference is : 615 - 314 = 301...I guess it is C...because of the rounding
Given the system of equations:
x + y - z = 4 eq.(1)
3x + 2y + 4z = 17 eq.(2)
-x + 5y + z = 8 eq.(3)
Add the equations 1 and 3
so,
x + y - z + ( -x + 5y + z ) = 4 + 8
x + y - z - x + 5y + z = 12
6y = 12
y = 12/6 = 2
Substitute with y at eq. (1)
So,
x + 2 - z = 4
x - z = 4 - 2
x - z = 2 eq. (4)
Substitute with y at eq.(2)
3x + 2 * 2 + 4z = 17
3x + 4 + 4z = 17
3x + 4z = 17 - 4
3x + 4z = 13 eq.(5)
solve the equations (4) and (5) together
x - z = 2
3x + 4z = 13
Multiply [ x - z = 2 ] by 4
4x - 4z = 8
3x + 4z = 13
Add the last two equations
4x - 4z + 3x + 4z = 8 + 13
7x = 21
Divide both sides by 7
x = 21/7 = 3
So, x = 3 and y = 2
Substitute with the values of x and y at the equation [ -x + 5y + z = 8 ]
So,
-3 + 5 * 2 + z = 8
solve for z
-3 + 10 + z = 8
z = 8 + 3 - 10
z = 11 - 10 = 1
So,
x = 3 , y = 2 and z = 1
