The enclosed shape is that of a trapezoid. The area of a trapezoid is the product of the height of it (measured perpendicular to the parallel bases) and the average length of the two parallel bases. The formula is generally written ...
... A = (1/2)(b₁ + b₂)·h
Here, the base lengths are the y-coordinates at x=4 and x=9. The height is the distance between those two x-coordinates: 9 - 4 = 5.
You are expected to find the y-values at those two points, then use the formula for the area of the trapezoid.
You can save a little work if you realize that the average of the two base lengths is the y-coordinate corresponding to the average x-coordinate: (9+4)/2 = 6.5. That is you only need to find the y-coordinate for x=6.5 and do the area math as though you had a rectangle of that height and width 5.
Going that route, we have
... y = 2(6.5) - 1 = 13 - 1 = 12
Then the trapezoid's area is
... A = 12·5 = 60 . . . . square units.
The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.
A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.
Then the area of the heptagon is given as
Area of heptagon = 7 x area of a triangle
Area of heptagon = 7 x 0.5 x 12.1 x 12.6
Area of heptagon = 533.61 square ft
If the costs $10 per square foot for the special wood the homeowner wants.
Then we have
Total cost = 10 x 533.61
Total cost = $ 5336.1
More about the polygon link is given below.
brainly.com/question/17756657
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let t = time (hrs) that they are 50 mi apart
Use pythag here; a^2 + b^2 = c^2; dist = speed * time
(30t)^2 (40t)^2 = 50^2
900t^2 + 1600t^2 = 2500
It's obvious that t = 1 hr
First, figure out how long it takes Francis to get one paycheck.
You do this by dividing the number of weeks by the number of paychecks.
12 ÷ 6 = 2
Now, you divide 52 weeks by the time it takes to get one paycheck.
52 ÷ 2 = 26
This means that Francis gets 26 paychecks in 52 weeks.
-8 = 6 - 14
use the number line:
go to 6 on the number line and count back until you reach -8; you should count 14
since it's a -8 that means the bigger number also has to be negative. between 6 and 14, 14 is bigger so it becomes a negative number
so your answer is -14
