24 times 6 with a little bit of 4
Answer:
approximately 0.2 days
Step-by-step explanation:
Flow is defined as:
Q = V/t
where Q is flow, V is volume, and t is time
Let's call Vr to the volume of the reservoir, then for the first channel:
Q1 = Vr/t1
Replacing with t1 = 1/3 of day:
Q1 = Vr/(1/3) = 3*Vr
Similarly, or the other channels:
Q2 = Vr/1 = Vr
Q3 = Vr/(2 1/2) = 2/5*Vr
Q4 = Vr/3
Q5 = Vr/5
When all channels are open, the time needed to fill the reservoir is:
Vr = t*(Q1 + Q2 + Q3+ Q4 + Q5)
Replacing with the previous equivalences:
Vr = t*(3*Vr + Vr + 2/5*Vr+ Vr/3 + Vr/5)
Vr = t*4.93*Vr
1/4.93 = t
0.2 = t
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/<u>18</u>) = ³√(8) = 2 [whole number]
³√(144/<u>144</u>) = ³√(1) = 1 [whole number]
Recognize that the triangle is isosceles, so the two side lengths are equal.
b = 2√2
Recognize it is a right triangle, so you can use the Pythagorean theorem to compute the length of "a".
a^2 = (2√2)^2 +(2√2)^2
a^2 = 8 +8 = 16
a = √16
a = 4
