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WARRIOR [948]
2 years ago
6

In a 45-45-90 triangle, the hypotenuse is 7, find both the legs

Mathematics
1 answer:
Nadya [2.5K]2 years ago
7 0

Answer: If the hypotenuse is 7, the other 2 sides are \sqrt{24.5} 0r about = 4.95

Step-by-step explanation:  in a 45-45-90 triangle, the legs are equal.

a² + b² = c² .   2(a²) = 49  a² = 49/2

So find the square root of 24.5

\sqrt{24.5}   =4.949747468 .round to 4.95

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I hope this helps you




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List the ordered pairs in the equivalence relations produced by these partitions of {a, b, c, d, e, f, g}: a) {a,b},{c,d},{e,f,g
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Answer:

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c)  {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

Step-by-step explanation:

a) {a,b} , {c,d} , {e,f,g}

  {a , b } = {(a,a) (b,b) (a,b) (b,a)}

  {c , d } = {(c,c) (d,d) (c,d) (d , c) }

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b) {a} ,{b},{c,d} ,{e,f},{g}

     { (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)}

c)  {a,b,c,d},{e,f,g}

   {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

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