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Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
Answer:
A = 62.35 cm²
Step-by-step explanation:
Use the area formula A = 
, where a is the side length.
Plug in the values:
A = 
A = 
A = 62.35 cm²
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5
side^2 =240 * 0.72654 / 5
side^2 =
<span>
<span>
<span>
174.3696
</span>
</span>
</span>
/ 5
side^2 =
<span>
<span>
<span>
34.87392
</span>
</span></span>
side =
<span>
<span>
<span>
5.9054144647 </span></span></span>
Pentagon Perimeter =
<span>
<span>
<span>
5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter =
29.5270723235
</span>
</span>
</span>
Mathematical models are helpful. Advantages include helping you see the data clearer and helping you visualize. Disadvantages are: time consuming, and if you make a mistake on the graph, its going to hit the entre thing.
