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Lyrx [107]
3 years ago
9

A man driving a minivan leaves his home and travels north 5 miles, then turns right and travels east 12 miles, arriving at his p

lace of work. If a road was made directly from his house to his work, what would the distance be?
Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

The distance between house to work is 13 miles .

Step-by-step explanation:

Given as :

The distance that man travel to north = OA = 5 miles

Now, From north ,man turn right and travel to east

So, The distance that man travel to east = AB = 12 miles

Let The distance between house to work = x miles

So, x miles is the displacement from north to east direction

i.e x = \sqrt{OA^{2} + AB^{2}  }

Or, x = \sqrt{5^{2} + 14^{2}  }

Or, x = \sqrt{169  }

∴   x = 13

So, The distance between house to work = x = 13 miles

Hence, The distance between house to work is 13 miles . Answer

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3 years ago
A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

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Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
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Term 3
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Your first 4 terms are 4, 24, 96, and 384.

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Answer: A) F

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In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. If the the flagpole is 18 ft tall, how tall
xxTIMURxx [149]

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<u>Step-by-step explanation:</u>

Similar triangles have proportional sides.

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