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andriy [413]
3 years ago
12

Can 3,4,7 make a possible right triangle?

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Let's see by using the Pythagorean theorem.

3 and 4 are legs. 3 is the shortest leg.

7 is the hypotenuse.

The theorem states that:

a² + b² = c²

a = 3

b = 4

c = 7

3² + 4² = 7²

9 + 16 = 49

25 = 49 (Incorrect)

So it is not possible for 3,4,7 to be a right triangle.

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Choose the correct fraction and decimal equivalent for 78%.
vazorg [7]

Answer: 0.78 and 39/50

<h3>Explanation:</h3>

What we know:

  • We need to find 78% as a fraction and decimal

How to solve:

The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.

<h3>Process:</h3>

Decimal

Set up equation                                                 D = p / 100

Substitute                                                           D = 78% / 100

Simplify                                                               D = 0.78%

Remove % sign                                                  D = 0.78

Fraction

Set up equation                                                 F = p / 100

Substitute                                                           F = 78% / 100

Remove % sign                                                  F = 78 / 100

Simplify if needed                                            F = /2    /2

                                                                           F = 39 / 50

Solution: 0.78 and 39/50

Check:

Multiply the decimal by 100 to check the decimal

0.78 x 100 = 78; 78%

Divide the fraction to check the fraction

39/50 = 0.78; see above

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