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N76 [4]
2 years ago
15

A right triangle has side lengths 7, 24, and 25 as shown below.

Mathematics
1 answer:
Alla [95]2 years ago
5 0

9514 1404 393

Answer:

  • tan(A) = 7/24
  • sin(A) = 7/25
  • cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

  tan(A) = 7/24

  sin(A) = 7/25

  cos(A) = 24/25

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Licemer1 [7]

The slope of all parallel lines are equal.

The slope of a line in the form y=mx+c is m.

1. The given equation is: y=4x+2.  The slope of this line is m=4. The slope of the line parallel to this line is also 4.

2. The given equation is y=\frac{2}{7}x+1. The slope of this line is m=\frac{2}{7}.

The slope of the line parallel to it is also \frac{2}{7}.

3. The next equation is y+9x=13. The slope intercept form is y=-9x+13.

The slope of this is m=-13. The line parallel to it also has slope which is -13.

4. The given equation is y=-\frac{1}{2}x+4. The slope of this line and the line parallel to it is m=-\frac{1}{2}

5. The equation is 6x+2y=4. We simplify to get: 3x+y=2.

The slope-intercept form is y=-3x+2. The line parallel to this line has slope m=-3

6. Assuming the line is y=-3x+9, then the slope is m=-3

7. Assuming the line is -5x+5y=4, then the slope-intercept form is y=x+\frac{4}{5} and the slope of the line parallel to this line is m=1

8. The equation is 9x-5y=4. The slope intercept form is y=\frac{5}{9}x-\frac{4}{9}. The slope of the line parallel to this line is m=\frac{5}{9}

9. The given equation is -x+3y=6. The slope intercept form is y=\frac{1}{3}x+2. The line  parallel to this line also has slopem=\frac{1}{3}.

10.  Assuming the given line is 6x-7y=10, then y=\frac{6}{7}x-\frac{10}{7} and the line parallel to it has slope m=\frac{6}{7}

11. Assuming the line is y-x=-3, then y=x-3 and the slope of the line parallel to it is m=1

12. The given line is 3x-5y=6. This implies that y=\frac{3}{5}x-\frac{6}{5}

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3 years ago
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djyliett [7]

Answer:

c=8

Step-by-step explanation:

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