The students in Mrs. Smith's class placed 26 math textbooks on a scale. The scale indicated a weight of 1,248 ounces. Each math
1 answer:
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The area of the regular nonagon is 270 sq cm.
Step-by-step explanation:
Given,
Each side of a regular nonagon (b) = 10 cm
The length of apothem (h) = 6 cm.
To find the area of the nonagon.
Formula
The area of a nonagon with b as each side and h as apothem is = 9(bh)
Now,
Putting the value of h and b we get,
Area = 9(×10×6) sq cm = 270 sq cm
Hence, the area is 270 sq cm.
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Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
