9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
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For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
Answer:
the answer is 9w+2/3
Step-by-step explanation:
Please mark me branliest
Answer:
b
Step-by-step explanation:
Answer:
From the graph, the slope is -4/5 and the y-intercept is 4 so the slope-intercept equation is y = -4/5x + 4. To convert to standard form we'll do:
y = -4/5x + 4
5y = -4x + 20
4x + 5y = 20
Answer:
60° : 75° : 120° : 105°
Step-by-step explanation:
I like to work these by considering the relationship between a "ratio unit" and the angle it represents. Here, the sum of ratio units is 4+5+8+7 = 24. The sum of angles in a quadrilateral is 360°, so each ratio unit must stand for ...
360°/24 = 15°
Multiplying the ratio units by this value, we find the angles to be ...
(4 : 5 : 8 : 7) × 15° = 60° : 75° : 120° : 105°
