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Vladimir79 [104]
3 years ago
11

Use the Pythagorean theorem to find the length of the leg in the triangle shown below 12 15

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

9 = x (assuming 15 is the hypotenuse)

Step-by-step explanation:

15^2 = 12^2 + x^2

225 = 144 + x^2

subtract 144 from both sides

81 = x^2

square root both sides

9 = x

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One number is 5 greater than another. The product of the numbers are 84. Find both the two positive and two negative sets of num
Pepsi [2]

Let x,y be the two numbers.

Given that one number is 5 greater than another.

Let x be the smaller number ans y be the greater number.

That is y=x+5. Let this be the first equation.

And also given that product of the two numbers is 84.

That is x*y = 84, let us plugin y=x+5 here.

           x*(x+5) = 84

           x^2 + 5x -84 = 0.

           x^2+12x-7x-84 = 0

          x(x+12)-7(x+12) =0

           (x-7)(x+12)=0

That is x= 7 or -12.

If x=7, y= 7+5=12.

If x=-12, y= -12+5 = -7.

Hence two positive numbers corresponding to given conditions are 7,12.

And two negative numbers corresponding to given conditions are -12,-7.

3 0
3 years ago
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Given f(x)=3(2-x)+5 what is the value of f(-5)?
Alexandra [31]

Answer:

26

Step-by-step explanation:

given f(x)=3(2-x)+5 what is the value of f(-5)?

f(x)=3(2-(-5))+5            x minus a negative is a plus   2 -  -5 =  2 +5

      = 3(7) + 5

      = 21 +5

      =  26

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Anyone wanna be frie.nds????
Tamiku [17]

Answer:

sure

Step-by-step explanation:

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2. How do you<br> multiply and divide<br> rational<br> expressions?
tatuchka [14]

Answer:

1.Factor both the numerator and the denominator.

2.Write as one fraction.

3: Simplify the rational expression.

4: Multiply any remaining factors in the numerator and/or denominator.

Step-by-step explanation:

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3 years ago
What is the value of a?
Elan Coil [88]
Note that the interior angles must add up to 180 degrees:  50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.

Use the Law of Sines to find the value of a, as follows:

sin 50 deg      sin 62 deg
-------------- = ----------------
       a                  31 cm
                                                          31sin 50        31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
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a = 
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4 years ago
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