Let be the dimensions of the rectangle. We know the equations for both area and perimeter:
So, we have the following system:
From the second equation, we can deduce
Plug this in the first equation to get
Refactor as
And solve with the usual quadratic formula to get
Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have
If we choose the negative solution, we have
So, we're just swapping the role of and . The two dimensions of the rectangle are and
We can write an algebra formula so let the number be Y
Y x 75% = 15
Y = 15/75% (aka 15/0.75)
therefore Y = 20
Let's define,
X := Total minutes it takes to fill the plane (with fuel)
Then,
Solving it for X, we get
This means that the vehicle takes 1 h 2 min to fill the plane. If the fuelling finished at 10:35, it began at
9:33.
Look at the picture.
Domain: -4 ≤ x ≤ 4
Range: -1 ≤ y ≤ 1
<h3>Answer: {x | -4 ≤ x ≤ 4}</h3>
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
Step-by-step explanation: