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kotykmax [81]
3 years ago
13

Which is the right answer?

Mathematics
1 answer:
Amanda [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Since the triangle is right use the sine trig ratio to solve for x

noting that sin45° = \frac{1}{\sqrt{2} } ← exact value

sin45° = \frac{opposite}{hypotenuse} = \frac{8}{x}

Multiply both sides by x

x × sin45° = 8 ( divide both sides by sin45° )

x = \frac{8}{sin45} = \frac{8}{\frac{1}{\sqrt{2} } } = 8\sqrt{2}

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2 4/5 is the correct answer
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Help please show work
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
Mama L [17]

Answer:

N=250

Step-by-step explanation:

 "twice as many nickels as dimes"     means    N =2D     [eq1]

 "collection of nickels and dimes is worth $25"    means

        5N + 10D = 2500      [eq2]

   (To avoid using decimal points, PLZ express everything in cents.)

Substitution   (substitute N from eq1 into eq2]:

     5(2D) + 10D = 2500

      10D + 10D = 2500

          20D = 2500

            D = 125

      N=2D         [eq1 again]

      N=2(125)

      N=250

Check:

  Is   5(250) + 10(125) = 2500   ?

        1250 +  1250 = 2500   ?

          2500 = 2500   ?yes

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