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viktelen [127]
3 years ago
14

The difference between 2 numbers is 8. The sum of the two numbers is 20. Find the number. ​

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
8 0

Answer:

14, 6

Step-by-step explanation:

x-y =8 =>x=y+8

x+y=20

y+8 +y=20

2y=20 - 8

2y=12

y=12 :2

y=6 (the second number

x=6 +8 =14 (the first number

Igoryamba3 years ago
3 0

Answer:

The numbers are 6 and 14

Step-by-step explanation:

Let the two numbers be x and y

x-y = 8

x+y = 20

Add the two equations

x-y = 8

x+y = 20

-----------------

2x = 28

Divide by 2

2x/2 = 28/2

x = 14

Subtract the two equations

x-y = 8

-x-y = -20

-----------------

-2y = -12

Divide by -2

-2y/-2 = -12/-2

y = 6

The numbers are 6 and 14

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the
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Answer:

Length of right-angle  triangle 'a' = 4

b)

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  b = 3 and hypotenuse c = 5

Given ΔABC  is a right angle triangle

By using pythagoras theorem

        c² = a² + b²

  ⇒ a² = c² - b²

 ⇒  a² = 5²-3²

          =25 - 9

      a² = 16

⇒   a = √16 = 4

The sides of right angle triangle  a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

7 0
3 years ago
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