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MAVERICK [17]
2 years ago
6

Find the length of the leg, please help, will give brainliest

Mathematics
1 answer:
iren2701 [21]2 years ago
6 0

Answer:

7\sqrt{2}

Step-by-step explanation:

We know that the missing angle is 45 degrees and the hypotenuse is 14.

If both side angles equal to 45, according to base angle theorem, this triangle is isosceles.

Since this triangle is isosceles, the two legs must be equal. Let x be the legs.

According to the 45 45 90 triangle theorem, the hypotenuse is equal to \sqrt2*x

If 14 = \sqrt{2}*x

\frac{14}{\sqrt{2} } = x

Rationalize denominator

x = \frac{14}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }  = \frac{14\sqrt{2} }{2} = 7\sqrt{2}

The answer is 7\sqrt{2}

Hope this helps :)

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arlik [135]
Because y=3x has a coefficient of 3 and y=x3 does not have a coefficient because the variable is the first terms. therefore it is not an exponential function.
8 0
3 years ago
Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
  • Period = 2π
  • Phase shift (C) = 0
  • Vertical shift (D) = 0
  • Mid-line:  y = 0

From inspection of the given graph:

  • Amplitude (A) = 1
  • \sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}
  • Phase shift (C) = 0
  • Vertical shift (D) = +3  (as mid-line is y = 3)

\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

6 0
2 years ago
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mestny [16]

Answer:- 29

false

Step-by-step explanation:

4 0
3 years ago
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<span>{x | x < 0} and {x | x > 0}</span>
8 0
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Elena-2011 [213]

Answer:

b=1/12 or just 12

Step-by-step explanation:

combine like terms

1/3b +12=16

subtract 12 on both sides

1/3b=4

divided both sides with 1/3

b= 12 or 1/12

hope this helps.. :/

8 0
3 years ago
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