John is installing five solar panels on the roof of his house. The width of each panel is between 2 feet and 4 feet, and the len
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For this problem, we are given a quadratic equation that models the total amount spent on clothing and footwear in the years 2000-2009. We need to use the model to determine the maximum amount spent during the period.
The equation is shown below:
Since the leading term is negative, the vertex of this function will represent an absolute maximum value. Therefore we can determine the vertex to answer the problem, the vertex's coordinates are given below:
Then we have:
In the year 2008, 384 billion was spent on clothing and footwear.
Answer:
The actual area of the garden is 1256 square feet.
Step-by-step explanation:
Given:
A gardener is designing a circular garden.
On the blueprint, the garden has a diameter of 16 centimeters.
The blueprint has a scale of two centimeters to five feet.
Now, to find the actual area of the garden.
Let the actual diameter of the garden be
And the diameter of the garden on blueprint =
As, given:
The blueprint has a scale of two centimeters to five feet.
2 centimeters is equivalent to 5 feet.
Thus, 16 centimeters is equivalent to
Now, to get the actual diameter by using cross multiplication method:
By cross multiplying we get:
Dividing both sides by 2 we get:
<em>Thus, the actual diameter of the garden is 40 feet.</em>
Now, to get the area of the garden we get the radius and then put the formula of area:
Radius =
Radius(r)=
Therefore, the actual area of the garden is 1256 square feet.