Answer:
x = 12 hours
Step-by-step explanation:
If one pipe fills store pool in 12 hours in 1 hour will fill 1/12 of the pool
If one pipe fills a store pool in 6 hours in 1 hour will fill 1/6 of the pool
Let call " x " number of hours needed by the third pipe to fills the pool
then in 1 hour will fill 1/x
The three pipes working together in 1 hour will fill
1/12 + 1/6 + 1/x
Now we know that the three pipes take 3 hours to fill the pool then in 1 hour three pipes will fill 1/3 of the pool, therefore
1/12 + 1/6 + 1/x = 1/3
( x + 2*x + 12) /12*x = 1/3 ⇒ ( 3*x +12 )/ 12*x = 1/3
9*x + 36 = 12*x
- 3*x = - 36
x = 36/3
x = 12 hours
Answer:
522.67
Step-by-step explanation:
Base area= 196
Height= 8
put it into the formula
V= 1/3*196*8
196*8= 1,568
1,568*1/3= 522.67
hope this helps <3
Step-by-step explanation:
Our roots are 3, and i so our roots form
will be

Since i is one root, it conjugate, must be the other.
so we have

Simplify


So the function is

Check the picture below.
notice AB ⟂ BC , whilst ∡B = 30°.
now, if we run a perpendicular line from C to AB, it'll be a 90° angle at M, however ∡AMC has to be 105°, so it has to be slanted more towards A, like in the picture, and surely you already know which one is the shortest.
Answer:
Larger number = 30
Smaller number = 8
Step-by-step explanation:
Let x = larger number
Let y = smaller number
x + y = 38 ————> (1)
x = y + 22 ————> (2)
Substitute for x using first equation
(y + 22) + y = 38
2y + 22 = 38
2y = 16
y = 8
Substitute for y using second equation
x = 8 + 22
x = 30
I hope this helped and please mark me as brainliest!