Answer:
Step-by-step explanation:
a)
i)
<u>Use the law of cosines:</u>
ii)
<u>Use the law of sines:</u>
- sin ∠A / PB = sin ∠P / AB
- sin ∠A / 100 = sin 80 / 107.31
- sin ∠A = 100 sin 80 deg / 107.31
- sin ∠A = 0.92
- ∠A = arcsin 0.92
- ∠A = 67° (rounded)
iii)
<u>Bearing of B from A:</u>
b)
<u>PB is longer distance. Time to reach B:</u>
- t = d/s
- t = 100/20 = 5 hours
<u>The speed s of the slower ship:</u>
- s = d/t
- s = 60/5 = 12 km/h
The surface area of the triangular prism is 93 squared feet.
<h3>What is the
surface area of the
triangular prism?</h3>
The surface area of triangular prism is expressed as;
S.A = bh + ( s₁ + s₂ + s₃ )H
From the diagram;
- h = 2ft
- b or s₁ = 3ft
- s₂ = 3ft
- s₃ = 3ft
- H = 10ft
We substitute our given values into the equation above.
S.A = bh + ( s₁ + s₂ + s₃ )H
S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft
S.A = 3ft² + ( 9ft )10ft
S.A = 3ft² + 90ft²
S.A = 93ft²
The surface area of the triangular prism is 93 squared feet.
Learn more about prisms here: brainly.com/question/21079821
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The answer is 1.87 pounds heavier. This is found out by subtracting 2.8 from 4.67.
Hope this helps!
Answer:
40%
Step-by-step explanation:
32/80=.4
