A net and the prism it will form when it is folded are shown below.
2 answers:
Answer:
Option A)724 square centimeters
Step-by-step explanation:
we know that
The surface of the prism is equal to the area of its six rectangular faces
The surface area is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
we have
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
<em>Find the surface area SA</em>
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This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.