Draw your own rectangle, with an area of 24 square units, on the coordinate plane. Then, identify the vertices of your rectangle
. Explain how you know that your rectangle has the correct area.
2 answers:
Answer:
The vertices of the rectangle are (-4, 3), (2, 3), (-4, -1), (2, -1).
The distance between (-4, 3) and (2, 3) is 6 units.
The distance between (-4, 3) and (-4, -1) is 4 units.
6 x 4 = 24 square units.
Step-by-step explanation:
Answer:
First you should remember that the formula for calculating area of a rectangle is;
Area=Length × width
You can decide to have a rectangle with different dimensions provided the area is 24 square unit
For this case, lets choose a rectangle with vertices at (1,0), (7,0),(1,4), (7,4)
After plotting these coordinates, you will notice your rectangle has a length of 6 units and a width of 4 units
A single unit is 1 square unit.When you Count the number of units inside the rectangle formed you realize you have 24 units covered inside
The area of the 24 units will be;
24×1 square unit= 24 square units
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Answer:
The draining time when only the big drain is opened is 2.303 hours.
The draining time when only the small drain is opened is 5.303 hours.
Step-by-step explanation:
From Physics, we know that volume flow rate (), measured in liters per hour, is directly proportional to draining time (
), measured in hours. That is:
(Eq. 1)
Where is the proportionality constant, measured in liters.
From statement, we have the following three expressions:
(i) <em>Large and small drains are opened</em>
(Eq. 2)
(ii) <em>Only the small drain is opened</em>
(Eq. 3)
(iii) <em>Only the big drain is opened</em>
(Eq. 4)
By applying (Eqs. 3, 4) in (Eq. 2) and making some algebraic handling, we find that:
(Eq. 5)
Whose roots are determined by the Quadratic Formula:
and
Only the first roots offers a solution that is physically reasonable. Hence, the draining time when only the big drain is opened is 2.303 hours. And the time needed for the small drain is calculated by the following formula:
The draining time when only the small drain is opened is 5.303 hours.