Answer:
5 hours
Step-by-step explanation:
Let's express each scenario as a function in a slope-intercept form, y = mx + b,
Where,
y = total amount of water
x = number of hours
m = rate of at which water is drained or filled per hour
b = initial quantity of water in the tank
✔️Equation for Tank A:
m = 2 gallons/hour = 2
b = 100 gallons = 100
Substitute m = 2 and b = 100 into y = mx + b:
y = 2x + 100
✔️Equation for Tank B:
m = 6 gallons/hour = -6 (this is negative 6 because water drains)
b = 140 gallons = 140
Substitute the values into y = mx + b
y = -6x + 140
✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.
2x + 100 = -6x + 140
Collect like terms
2x + 6x = -100 + 140
8x = 40
Divide both sides by 8
x = 40/8
x = 5
Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.
The answer is X= Rx Teta, X is the arc length
so the answer is <span>16 pi over 3cm
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Hope this helps you out!!!!!
Answer:
3/16
plz give brainliest
Step-by-step explanation:
Answer:
m∠Z=146
m∠X=34
Step-by-step explanation:
Since this is an Isosceles Trapezoid, we can assume that m∠Z=m∠Y, because an isosceles trapezoid has two pairs of congruent angles, therefore m∠Z=146.
Since angle Y and Angle X are same side interior and line ZY║WX, we can assume that m∠X+m∠Y=180. Substitute values:
