<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
Answer:
x<29
Step-by-step explanation:
divide both sides by -1 since x cannot be negative
Since opposite angles of a cyclic quadrilateral are supplementary,
A= 180-101=79°
B= 180-68=112°
Answer:
50 in ^3
Step-by-step explanation:
V = 1/3 pi r^2 h
We know that pi = 3
the diameter is 5 so the radius is 1/2 the diameter of 5/2 = 2.5
The height is 8
V = 1/3 ( 3) ( 2.5)^2 ( 8)
V = 50 in ^3
Answer:
B.
Because the number of sides is 6 so the s go interior angles is 720. So if u want to get x u need to sum up the rest of the angles anf subtract from 720 giving an answer of 130
