Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
Let us determine each of their rates of work:
Since Tiana can clear the field in 3 hours, meaning she can do 1/3 of the work per hour.
In the same way, Jacob can do 1/2 of the work per hour.
Now, what would be the rate of work if they were working together? Let's look at it like this:
Hours to complete the job:
Tiana = 3
Jacob = 2
Together = t
Work done per hour:
Tiana = 1/3
Jacob = 1/2
Together = 1/t
If you add their labor together:
1/3 + 1/2 = 1/t
5/6 = 1/t
t = 6/2 = 1.2
Together, they can clear the field in 1.2 hours.
Answer:
The first two tables show y as a function of x.
Step-by-step explanation:
A relation is <em>not a function</em> if the same x-value shows up more than once in the table. That will be the case for the last two tables, each of which has x=2 show up twice.
Answer:
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Step-by-step explanation:
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