let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.
next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.
The answer in simplest form would be 1/6
Answer:
C. 1.87
Step-by-step explanation:
3.5x - 2.8 = -4.67x + 12.5
3.5x + 4.67x = 12.5 + 2.5
8.17x = 15.3
x = 15.3 ÷ 8.17
x = 1.87270501836
So, the closest choice to 1.87270501836 is 1.87, so the answer is C.
Hence, the answer would be C. 1.87. I am 100% sure on this, for I am a pro.
<h2><u><em>
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Answer:
√3
Step-by-step explanation:
cot²(θ) = csc²(θ) -1 . . . . . a relevant identity
= 1/sin²(θ) -1
= (1/(1/2))² -1 = 2² -1 = 3
Then ...
cot(θ) = √3 . . . . . . . . take the square root