Awater hose has filled up 1/2 of a pool after 1/6 of an hour. at this rate, how many hours would it take to fill the pool

It will take 2/6 or 1/3 of an hour to fill the pool.

Step-by-step explanation:

If 1/2 of the pool has been filled after 1/6 of an hour, you can find the answer by doing 2/1 x 1/2 = 2, to represent the amount when the pool is filled fully. Now, you must multiply 1/6 x 2/1 = 2/6, this represents the amount of time to fill up the pool fully. Therefore, it will take 2/6 of an hour or 1/3 of an hour to fill the pool.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: