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pav-90 [236]
3 years ago
13

What’s the area?????

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

<h2>64</h2>

Step-by-step explanation:

<h2>10 x 4=40 3 x 8=24</h2><h2>40+24=64</h2>
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Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time.
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Solution-

First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I

Total number of ways of selection of 4 letters from 9 alphabets = 9C4

=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126

The number of ways of arranging these 4 numbers = 4! = 24

∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024

∴ option number 2 is correct.

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4 years ago
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3 years ago
"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o
Mariulka [41]

Answer:

11.2 miles


Step-by-step explanation:

We can create a triangle from the information given.

<u>We can call the starting point (0,0) in the coordinate system.</u>

  • <u>10 mi east</u> - 10 miles to the right. then,
  • <u>5 mi north</u> - 5 miles above

<em><u>See the attached picture. The direct distance is labeled as x.</u></em>


Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

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<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>

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You would distribute then combine like terms to get your answer.

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