4 years ago

Can you help me on number 4?

Mathematics

2 answers:

galben [10]4 years ago

6 0

Since it's a square we just need to 27*27
Which is 729

Lynna [10]4 years ago

6 0

You have your perimeter. 108. and a side of 27. two sides are parallel so 27+27=54. that leaves you 54. so all sides are 27 mi. take two sides and multiply. 27*27=729. there's your area!

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What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.

vitfil [10]

Refer to the diagram below.

Let x = length of line segment RS.
Let Q = ∠RQS.
Let S = ∠RSQ

According to the Law of Sines,
$\frac{sinS}{2.4} = \frac{sin80^{o}}{3.1} \\\\sinS = (\frac{2.4}{3.1}) sin 80^{o}= 0.7624 \\\\ S = sin^{-1}0.7624 = 49.68^{o}$

Because the sum of angles in a triangle is 180°, therefore
∠Q = 180 -(80 + 49.68) = 50.32°

Apply the Law of Sines again to obtain
$\frac{x}{sinQ} = \frac{3.1}{sin80^{o}} \\\\ x = ( \frac{sin50.32^{o}}{sin80^{o}})3.1 = 2.423$

Answer: The length of RS = 2.4 (nearest tenth)