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victus00 [196]
3 years ago
8

Dale made a model of a lighthouse using a 4 inches=50 feet if the lighthouse is 120 feet tall, how tall is his model

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

8 2/5 inches!

Step-by-step explanation:

The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)

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sergeinik [125]

For this case we have:


By trigonometric property we have:


Cosine(\alpha)=\frac{AdjacentLeg}{Hypotenuse}

Where:


Adjacent Leg = 12\\Hypotenuse = 13\\\alpha= x

Substituting:


Cosine(x)=\frac{12}{13}

Clearing x we have:


x =Cosine^{-1}(\frac{12}{13})

Thus, the equation is: x =Cosine^{-1}(\frac{12}{13})

Answer:


x =Cosine^{-1}(\frac{12}{13})


3 0
3 years ago
The distance between City A and City B is 250 miles. A length of 2.3 feet represents this distance on a certain wall map. City C
masya89 [10]

The distance between city C and city D is 450 miles.

<u>Solution:</u>

Given, The distance between City A and City B is 250 miles.  

A length of 2.3 feet represents this distance on a certain wall map.  

City C and City D are 4.14 feet apart on this map.  

We have to find what is the actual distance between City C and City D?

Now, distance between a and b is 250 miles ⇒ 2.3 feet on map

Then, distance between c and d be n miles  ⇒ 4.14 feet on map.

Now, by chris cross method.

250 x 4.14 = 2.3 x n miles.

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8 0
3 years ago
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Nata [24]

Answer:

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m < 1 = m < 5 ( alternate angles)

Therefore the triangles are similar.

7 0
3 years ago
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6 0
3 years ago
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prisoha [69]

Answer:

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Answer: 3(pi)

4 0
3 years ago
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