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Lemur [1.5K]
3 years ago
9

Can someone please help.

Mathematics
2 answers:
expeople1 [14]3 years ago
8 0
Multiply by the reciprocal scale factor. in other words multiply 48 x 6 and you should get 288 ft. ^2

seropon [69]3 years ago
8 0

Answer: Option 'A' is correct.

Step-by-step explanation:

Scale factor of the blueprint of a theater stage to the actual theater stage is

1\ in:6\ ft\\

Since the area of the stage on the blueprint = 48 in²

So, we need to find the area of the actual stage :

\frac{1}{6}=\frac{48}{\text{Area of actual stage}}\\\\ 6\times 48=\text{ Area of actual stage}\\\\288\ ft^2=\text{ Area of actual stage}

Hence, Option 'A' is correct.

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In △ABC, m∠A=16°, m∠B=49°, and a=4. Find c to the nearest tenth.<br><br><br> NOT A RIGHT TRIANGLE
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Answer:

c = 13.2

Step-by-step explanation:

* Lets explain how to solve the problem

- In Δ ABC

# Side a is opposite to ∠A

# Side b is opposite to ∠B

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* Lets solve the problem

- In Δ ABC

∵ m∠A = 16°

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∵ The sum of the measures of the interior angles of a triangle is 180°

∴ m∠A + m∠B + m∠C = 180°

∴ 16° + 49° + m∠C = 180°

∴ 65° + m∠C = 180° ⇒ subtract 65° from both sides

∴ m∠C = 115°

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∵ m∠C = 115°

∵ \frac{4}{sin(16)}=\frac{c}{sin(115)}

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∴ c=\frac{4(sin115)}{sin16}=13.2

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