In this problem, you are asked to solve the area of a
trapezoid. The formula in finding the area of a trapezoid is:
A = [(a + b)/2] x h
Where a = base 1
b = base
2
h =
height
Substituting the given measurements to the formula:
A = [(6.9 km + 2.7 km)/2] x 2.2 km
A = (9.6 km/2) x 2.2 km
A = 4.8 km x 2.2 km
A = 10.56 km^2
Therefore, the area is 10.56 square kilometers.
The quadratic equation that best represents his model of the relationship between stock value and time is given by:
The graph is given at the end of the answer.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
In which a is the leading coefficient.
In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:
(h,k) = (10,18).
Thus:
Since the initial price was of $8 per share, we have that:
Hence the equation is:
At the end of the answer, the sketch of the graph is given.
More can be learned about quadratic equations at brainly.com/question/24737967
12:00 P.M. to 7:00 P.M. is a total of 7 hours.
4:00 P.M. to 7:00 P.M. is a total of 3 hours.
This means that from 4:00 p.m to 7:00 P.M. this represents 3/7 of what was lost from 12:00 P.M. to 7:00 P.M.
After knowing this, after doing 11,600 - 6,800 = 4,800
4,800 represents 3/7 of what was lost for 7 hours.
We then divide 4,800 by 3 which gets 1,600.
Because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. After adding 11,200 to how much water was left at 7:00 P.M. which was 6,800. 11,200 + 6,800 = 18,000
This means that the pool originally had 18,000 gallons in the pool.
You can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.
