Given the function, f(x) = - 5x – 3, what is the value of x when f(x) = - 18?
1 answer:
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Answer:
Step-by-step explanation:
The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.
<h3>Area of each triangle:</h3>From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:
From the figure, we know that and the radius is
. So, the are would be calculated with this formula:
Replacing all values:
Remember that
Therefore,
Now, the total are of the figure is:
Therefore the area of the symmetrical pool is
First let's define variables:
r: reading
s: skimming
We write the system of equations that adapts to the problem:
r + s = 275
(15/10) r + (10/15) s = 355
We solve the system of equations:
r = 206
s = 69
Note: see attached image for system solution.
Answer:
Jayden had to skim 69 pages through
r: reading
s: skimming
We write the system of equations that adapts to the problem:
r + s = 275
(15/10) r + (10/15) s = 355
We solve the system of equations:
r = 206
s = 69
Note: see attached image for system solution.
Answer:
Jayden had to skim 69 pages through