Hank group 23 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Hank already had 173 potatoes harvested f
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If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.
Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.
The top angle of each triangle is obtained by dividing the full angle by 8.
So, each top angle =
= 45°
Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.
This altitude OC bisects the top angle 45°.
Therefore, ∠ AOC = 22.5°.
Now, in Δ AOC,
So, AC = x sin 22.5°
Note that, AB = 2 AC.
Therefore, AB = 2x sin 22.5°.
Also,
So, OC = x cos 22.5°.
Area of Δ AOB =
= × (2x sin 22.5°) × (x cos 22.5°)
= (2 sin 22.5° cos 22.5°)
= sin 45°
= /
Area of the octagonal gazebo = 8 × one triangular area
= 8 × ( /
)
Area required for mulch = circular area - area of the gazebo
Now, cost per unit area = $1.50.
Hence, total cost g(m) = area × cost per unit area
Total cost g(m) = × 1.5
Hence, total cost g(m) = .
By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.
<h3>Which of the following functions is not a linear function?</h3>A polynomial is an expression of the form:
Where all the exponents are natural numbers.
We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.
So a linear function is of the form:
Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.
Then the correct option is C.
If you want to learn more about linear equations:
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