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AlexFokin [52]
3 years ago
7

Triangle ABC is a right triangle. The sides measure AB = 3 and BC = 4. Use the Pythagorean theorem to find CA. A. CA = 25 B. CA

= 2.5 C. CA = 20 D. CA = 5
Mathematics
2 answers:
Fed [463]3 years ago
7 0

Answer:

D. CA = 5

Step-by-step explanation:

The Pythagorean Theorem states that given a right triangle with legs a and b and hypotenuse (longest side) c:

a² + b² = c²

Here, the legs are 3 and 4, so a = 3 and b = 4. Plug these in to find c:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25 = 5

The answer is thus D.

<em>~ an aesthetics lover</em>

Vesna [10]3 years ago
5 0

Answer:

  CA = 5

Step-by-step explanation:

Since the sides are 3 and 4, we recognize this as a 3:4:5 right triangle, with CA = 5. Using the Pythagorean theorem confirms this:

  CA² = AB² +BC²

  CA² = 3² +4² = 9 +16 = 25

  CA = √25

  CA = 5

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Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}

Upon substituting map distance between San Francisco and Chicago, we will get:

\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}

\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}

\text{Actual distance}=30\text{ miles}\cdot 61.9

\text{Actual distance}=1857\text{ miles}

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0
3 years ago
If r=0.5 and a6=0.03125 what is the value of a1?
andre [41]

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NEED HELP QUICK!!! Nicole works at the corporate headquarters for a major organization. Some days she feels as if she spends all
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The travels you have described are:

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                                   =  (middle floor)  + 20 - 41

                                   =  (middle floor)  -  21  brought her to floor #1.

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3 years ago
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Answer:

The m∠YXW is 125°.

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Step-by-step explanation:

To find the m∠YXW you would need to add the m∠YXZ and m∠ZXW together:

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4 0
3 years ago
What is the value of x ?
statuscvo [17]
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In short, Your Answer would be 221.45

Hope this helps!
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