A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet
2 answers:
The given dimensions of the rectangular swimming pool are =
Length = 20 feet
Width = 12 feet
Height upto which the water should be filled up = 5 feet
So, the total volume of water needed to fill the pool will be =
cubic feet
The water is pumped at a speed of = 30 cubic feet per minute.
So, to fill 1200 cubic feet, the time taken will be =
Hence, it will take 40 minutes to fill the pool.
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Answer:
32 mi
Step-by-step explanation:
Solve using proportions.
Find the scale factor (how to get from left to right)
To get from left numerator to right numerator, multiply by 4.
(1/2) X 4 = 2
The scale factor is 4.
Multiply the left denominator by the scale factor to get "y".
8 mi X 4 = 32 mi
Therefore 2 inches represent 32 miles.
Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.