Pls someone help me or i’ll faint
2 answers:
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity in the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
DF² = DE² + EF² , then
(a)
DF² = 16² + 12² = 256 + 144 = 400 ( take square root of both sides )
DF = = 20
(b)
DF² = 7² + 2² = 49 + 4 = 53 ( take square root of both sides )
DF = ≈ 7.28 ( to 2 dec. places )
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Answer
Let t be number of minutes since tap is opened
water is increased by 20 gallons of water per minute.
sugar increase rate of 3 pounds per minute
water :- W(t) = 350 + 10 t
sugar :- S(t) = 10 + 3 t
concentration
C(t) =
at t = 15 minutes
C(15) =
C(15) =
C(15) = 0.11
at beginning t = 0 minutes
C(0) =
C(0) =
C(0) = 0.0286
C(15) > C(0)
hence, concentration is increasing as time is passing.